SWASHES

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SWASHES: Shallow Water Analytic Solutions for Hydraulic and Environmental Studies.

SWASHES est un code de solutions analytiques pour l’hydraulique et les études environnementales.
Un nombre assez important de solutions analytiques pour les équations de Saint-Venant sont décrites dans un formalisme commun. Elles recouvrent une grande variété de conditions d’écoulement (super-critique, sous-critique, choc, etc.), en 1 ou 2 dimensions d’espace, avec ou sans pluie et frottement au niveau du sol, pour des écoulements transitoires ou des états d’équilibre.
Le but de ce logiciel est d’aider les utilisateurs de codes basés sur Saint-Venant à trouver une librairie de benchmarks adaptés pour valider leurs méthodes numériques.

Le code SWASHES peut être téléchargé sur le site sourcesup.
Ce code est distribué sous licence libre CeCILL-V2 (compatible GPL). Vous avez donc la possibilité d’utiliser ce logiciel sans limites quant au champ d’application.
Pour toute question, vous pouvez nous contacter à : (F. Darboux, O. Delestre, C. Lucas).

Si vous utilisez gestionnaire de paquets Conda, le paquet SWASHES est disponible à l’adresse anaconda.org/lrntct/swashes. Il fonctionne sous linux 64 bits, windows 32 bits et windows 64 bits.
SWASHES est aussi disponible sous forme d’un module python, pyswashes. Ce module permet d’obtenir la solution analytique choisie au format csv, dataframe Pandas, array Numpy ou grille ASCII. Voir pyswashes.readthedocs.io/en/latest/.
Le paquet Conda et le module python ont été développés par L. Courty.

Pour citer SWASHES : fichier bibtex
SWASHES: a compilation of Shallow Water Analytic Solutions for Hydraulic and Environmental Studies,
O. Delestre, C. Lucas, P.-A. Ksinant, F. Darboux, C. Laguerre, T. N. T. Vo, F. James, S. Cordier,
International Journal for Numerical Methods in Fluids, 72(3): 269-300, 2013, doi:10.1002/fld.3741

Si vous voulez être tenu au courant des développements du logiciel SWASHES, merci de vous inscrire à la newsletter http://listes.univ-orleans.fr/sympa/subscribe/swashes.infos.

ExemplesBibliographieCitations

Quelques exemples (utilisés pour les comparer aux solutions approchées de FullSWOF):

Ecoulement transcritique avec choc
Solution de type Mac Donald avec une transition et un choc
Rupture de barrage sur un domaine sec sans frottement
Surface plane (Thacker) dans un paraboloide
Solution super-critique Mac Donald pseudo-2D
Solution sous-critique Mac Donald pseudo-2D

Pour plus de détails, nous renvoyons l’utilisateur à la documentation du code.

Vous pouvez également vous référer aux publications suivantes :

Christophe Berthon; Stéphane Cordier; Minh H. Le; Olivier Delestre

An analytical solution of Shallow Water system coupled to Exner equation Journal Article

In: Comptes Rendus Mathématique, vol. 350, no. 3--4, pp. 183–186, 2012.

Links | BibTeX

Olivier Delestre; Carine Lucas; Pierre-Antoine Ksinant; Frédéric Darboux; Christian Laguerre; Thi Ngoc Tuoi Vo; François James; Stéphane Cordier

SWASHES: a compilation of Shallow Water Analytic Solutions for Hydraulic and Environmental Studies Journal Article

In: International Journal for Numerical Methods in Fluids, vol. 72, no. 3, pp. 269–300, 2013, (There are some errors in the published version. This is a corrected version. See also https://onlinelibrary.wiley.com/doi/10.1002/fld.5175).

Links | BibTeX

Olivier Delestre; Carine Lucas; Pierre-Antoine Ksinant; Frédéric Darboux; Christian Laguerre; François James; Stéphane Cordier

SWASHES: A library for benchmarking in hydraulics / SWASHES : une bibliothèque de bancs d'essai en hydraulique Book Section

In: Gourbesville, P.; Cunge, J.; Caignaert, G. (Ed.): Advances in Hydroinformatics - SIMHYDRO 2012 - New Frontiers of Simulation, pp. 233–243, 2014.

Links | BibTeX

Maxime Rougier

Addition of 8 analytical solutions to the SWASHES software Technical Report

Institut Denis Poisson - Université d'Orléans 2022.

Links | BibTeX

Olivier Delestre; Carine Lucas; Pierre-Antoine Ksinant Garcia; Frédéric Darboux; Christian Laguerre; Noémie Gaveau; Maxime Rougier; Anne-Céline Boulanger; Marco Mancini; Stéphane Cordier; François James

SWASHES: Shallow Water Analytic Solutions for Hydraulic and Environmental Studies Online

2024, (HAL page of SWASHES software).

Links | BibTeX


Enfin, signalons que SWASHES a été cité dans :

1.

Christophe Berthon; Françoise Foucher

Efficient well-balanced hydrostatic upwind schemes for shallow-water equations Journal Article

In: Journal of Computational Physics, vol. 231, no. 15, pp. 4993–5015, 2012.

Links | BibTeX

2.

Georges Sadaka

Solving shallow water flows in 2D with FreeFem++ on structured mesh Technical Report

2012.

Links | BibTeX

3.

Thanh Don Nguyen

Impact de la résolution et de la précision de la topographie sur la modélisation de la dynamique d’invasion d’une crue en plaine inondable PhD Thesis

Institut National Polytechnique de Toulouse, 2012.

Links | BibTeX

4.

Frédéric Couderc; Ronan Madec; Jerome Monnier; Jean-Paul Vila

DassFow-Shallow, variational data assimilation for shallow-water models: Numerical schemes, user and developer guides Technical Report

2013.

Links | BibTeX

5.

H. Yoshioka; K. Unami; M. Fujihara

A highly efficient shallow water model based on a selective lumping algorithm Proceedings Article

In: Annual meeting of the Japanese Society of Irrigation, Drainage and Reclamation Engineering, pp. 398–399, 2013.

Links | BibTeX

6.

G. Kirstetter

Benchmarks of the Basilisk software Miscellaneous

2013.

Links | BibTeX

7.

H. Yoshioka; K. Unami; Fujihara M.

Hyperbolic dual finite volume models for shallow water flows in multiply-connected open channel networks Proceedings Article

In: The 27th Computational Fluid Dynamics Symposium, pp. 1–10, 2013.

Links | BibTeX

8.

Vivien Desveaux

Contribution à l’approximation numérique des systèmes hyperboliques PhD Thesis

École doctorale Sciences et technologies de l’information et mathématiques, Université de Nantes, 2013.

Links | BibTeX

9.

Feng Zhou; Guoxian Chen; Yuefei Huang; Jerry Zhijian Yang; Hui Feng

An adaptive moving finite volume scheme for modeling flood inundation over dry and complex topography Journal Article

In: Water Resources Research, vol. 49, no. 4, pp. 1914–1928, 2013.

Links | BibTeX

10.

S. Cordier; H. Coullon; O. Delestre; C. Laguerre; M. H. Le; D. Pierre; G. Sadaka

FullSWOF Paral: Comparison of two parallelization strategies (MPI and SKELGIS) on a software designed for hydrology applications Journal Article

In: ESAIM: Proceedings, vol. 43, pp. 59–79, 2013.

Links | BibTeX

11.

E. Audusse; O. Delestre; M. H. Le; M. Masson-Fauchier; P. Navaro; R. Serra

Parallelization of a relaxation scheme modelling the bedload transport of sediments in shallow water flow Journal Article

In: ESAIM: Proceedings, vol. 43, pp. 80–94, 2013.

Links | BibTeX

12.

J. Popinet

Gerris tests. Version 1.3.2 Miscellaneous

2013.

Links | BibTeX

13.

Hidekazu Yoshioka; Koichi Unami; Masayuki Fujihara

Friction slope formulae for the two-dimensional shallow water model Journal Article

In: Journal of Japan Society of Civil Engineers, Ser. B1 (Hydraulic Engineering), vol. 70, no. 4, pp. 55–60, 2014.

Links | BibTeX

14.

Hidekazu Yoshioka; Koichi Unami; Masayuki Fujihara

A finite element/volume method model of the depth-averaged horizontally 2D shallow water equations Journal Article

In: International Journal for Numerical Methods in Fluids, vol. 75, no. 1, pp. 23–41, 2014.

Links | BibTeX

15.

D. Doyen; P. H. Gunawan

An explicit staggered finite volume scheme for the shallow water equations Book Section

In: Fuhrmann, J.; Ohlberger, M.; Rohde, C. (Ed.): Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects, vol. 77, pp. 227–235, Springer International Publishing, 2014.

Links | BibTeX

16.

Hidekazu Yoshioka; Koichi Unami; Masayuki Fujihara

A simple finite volume model for dam break problems in multiply connected open channel networks with general cross-sections Journal Article

In: Theoretical and Applied Mechanics Japan, vol. 62, pp. 131–140, 2014.

Links | BibTeX

17.

Martin Lilleeng Sætra

Shallow water simulations on graphics hardware PhD Thesis

Faculty of Mathematics and Natural Sciences. University of Oslo, 2014.

Links | BibTeX

18.

Alessandro De Rosis

A lattice Boltzmann-finite element model for two-dimensional fluid-structure interaction problems involving shallow waters Journal Article

In: Advances in Water Resources, vol. 65, pp. 18–24, 2014.

Links | BibTeX

19.

Paola Bacigaluppi; Mario Ricchiuto; Philippe Bonneton

Upwind stabilized finite element modelling of non-hydrostatic wave breaking and run-up Technical Report

no. RR-8536, 2014.

Links | BibTeX

20.

Martin L. Sætra; André R. Brodtkorb; Knut-Andreas Lie

Efficient GPU-implementation of adaptive mesh refinement for the shallow-water equations Journal Article

In: Journal of Scientific Computing, vol. 63, no. 1, pp. 23–48, 2014.

Links | BibTeX

21.

Arnaud Duran

Numerical simulation of depth-averaged flow models : a class of finite volume and discontinuous Galerkin approaches. PhD Thesis

Information, Structures et Systèmes. Université Montpellier II, 2014.

Links | BibTeX

22.

L. Stadler; T. Brudy-Zippelius

A study of the HLLC scheme of TELEMAC-2D Proceedings Article

In: Bertrand, Olivier; Coulet, Christophe (Ed.): Proceedings of the 21st Telemac Mascaret user conference, pp. 185–192, Artelia Grenoble, France, 2014, ISBN: 978-2-9548911-0-1.

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23.

Li-hui Wang; Cun-hong Pan

An analysis of dam-break flow on slope Journal Article

In: Journal of Hydrodynamics, vol. 26, no. 6, pp. 902–911, 2014.

Links | BibTeX

24.

Morgan Abily; Olivier Delestre; Laura Amossé; Nathalie Bertrand; Yann Richet; Claire-Marie Duluc; Philippe Gourbesville; Pierre Navaro

Uncertainty related to high resolution topographic data use for flood event modeling over urban areas: toward a sensitivity analysis approach Journal Article

In: ESAIM: Proceedings and Surveys, vol. 48, pp. 385–399, 2015.

Links | BibTeX

25.

Qiang Ma; Morgan Abily; Ngoc Duong Vo; Philippe Gourbesville

High resolution rainfall-runoff simulation in urban area: assessment of Telemac-2D and Fullswof-2D Proceedings Article

In: Proceedings of the 36th IAHR World Congress, pp. 8, The Hague, the Netherlands, 2015.

Links | BibTeX

26.

K. Unterweger; R. Wittmann; P. Neumann; T. Weinzierl; H. -J. Bungartz

Integration of FULLSWOF_2D and PeanoClaw: adaptivity and local time-stepping for complex overland flows Book Section

In: Recent Trends in Computational Engineering – CE2014, vol. 105, pp. 181–195, Springer International Publishing, 2015.

Links | BibTeX

27.

K. Fang; J. Sun; Z. Liu; J. Yin

A non-hydrostatic model for water waves in nearshore region Journal Article

In: Advances in Water Science, vol. 26, no. 1, pp. 114-122, 2015.

Links | BibTeX

28.

Thida Pongsanguansin; Montri Maleewong; Khamron Mekchay

Consistent weighted average flux of well-balanced TVD-RK discontinuous Galerkin method for shallow water flows Journal Article

In: Modelling and Simulation in Engineering, vol. 2015, pp. 1–11, 2015.

Links | BibTeX

29.

Hidekazu Yoshioka; Koichi Unami; Masayuki Fujihara

Numerical comparison of shallow water models in multiply connected open channel networks Journal Article

In: Journal of Advanced Simulation in Science and Engineering, vol. 2, no. 2, pp. 271–291, 2015.

Links | BibTeX

30.

Stephen Roberts; Gareth Davies; Ole Nielsen

ANUGA software: Open source hydrodynamic/hydraulic modelling project Miscellaneous

2015, (Australian National University and Geoscience Australia).

Links | BibTeX

31.

Simon Chabot

A shallow water code Technical Report

2015.

Links | BibTeX

32.

Harry Putu Gunawan

Numerical simulation of shallow water equations and related models PhD Thesis

Université Paris-Est, 2015.

Links | BibTeX

33.

M. -H. Le; S. Cordier; C. Lucas; O. Cerdan

A faster numerical scheme for a coupled system modeling soil erosion and sediment transport Journal Article

In: Water Resources Research, vol. 51, no. 2, pp. 987–1005, 2015.

Links | BibTeX

34.

J. M. Figueiredo; S. Clain

Second-order finite volume mood method for the shallow water with dry/wet interface Proceedings Article

In: SYMCOMP 2015, pp. 191–205, ECCOMAS Associação Portuguesa de Mecânica Teórica, Aplicada e Computacional (APMTAC), Faro, Portugal, 2015.

Links | BibTeX

35.

Carlos A. Bustamante; Henry Power; Cesar Nieto; Whady F. Florez

Solution of two-dimensional shallow water equations by a localized radial basis function collocation method Proceedings Article

In: Idelsohn, Sergio R.; Idelsohn, Sergio R.; Sonzogni, Victorio; Coutinho, Alvaro; Cruchaga, Marcela; Lew, Adrian; Cerrolaza, Miguel (Ed.): PANACM 2015 - 1st pan-American congress on computational mechanics, in conjunction with the 11th Argentine congress on computational mechanics, MECOM 2015, pp. 775–786, International Center for Numerical Methods in Engineering, 2015, ISBN: 978-849439282-5.

Links | BibTeX

36.

Prapti Neupane; Clint Dawson

A discontinuous Galerkin method for modeling flow in networks of channels Journal Article

In: Advances in Water Resources, vol. 79, pp. 61–79, 2015.

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37.

Jens Kristoffer Reitan Markussen

Software framework for solving hyperbolic conservation laws using OpenCL Masters Thesis

Department of Informatics. University of Oslo, Norway, 2015.

Links | BibTeX

38.

R. Pasquetti; J. L. Guermond; B. Popov

Stabilized spectral element approximation of the Saint-Venant system using the entropy viscosity technique Proceedings Article

In: Kirby, Robert M.; Berzins, Martin; Hesthaven, Jan S. (Ed.): International Conference on Spectral and High Order Method (ICOSAHOM 2014), pp. 8, Springer International Publishing, Salt Lake City, USA, 2015, ISBN: 9783319198002.

Links | BibTeX

39.

Olivier Delestre; Morgan Abily; Florian Cordier; Philippe Gourbesville; Hélène Coullon

Comparison and validation of two parallelization approaches of FullSWOF_2D software on a real case Book Section

In: Advances in Hydroinformatics, pp. 395–407, Springer Singapore, 2015.

Links | BibTeX

40.

Olivier Delestre; Ulrich Razafison

Numerical scheme for a viscous shallow water system including new friction laws of second order: validation and application Book Section

In: Advances in Hydroinformatics, pp. 227–239, Springer Singapore, 2015.

Links | BibTeX

41.

L. Minatti

A well-balanced FV scheme for compound channels with complex geometry and movable bed Journal Article

In: Water Resources Research, vol. 51, no. 8, pp. 6564–6585, 2015.

Links | BibTeX

42.

C. A. Bustamante; W. F. Florez; H. Power; A. F. Hill

Hydrokinetic turbine location analysis by a local collocation method with radial basis functions for two-dimensional shallow water equations Proceedings Article

In: WIT Transactions on Ecology and the Environment, WIT Press, 2015.

Links | BibTeX

43.

Ehsan Jafari-Nodoushan; Khosrow Hosseini; Ahmad Shakibaeinia; Seyed-Farhad Mousavi

Meshless particle modelling of free surface flow over spillways Journal Article

In: Journal of Hydroinformatics, vol. 18, no. 2, pp. 354–370, 2015.

Links | BibTeX

44.

Nicolai Schaffroth

Simulation of rain-induced floods on high performancecomputers Masters Thesis

Fakultät für InformatikTechnische, Universität München, Germany, 2015.

Links | BibTeX

45.

M. Rousseau; O. Cerdan; O. Delestre; F. Dupros; F. James; S. Cordier

Overland flow modeling with the shallow water equations using a well-balanced numerical scheme: better predictions or just more complexity Journal Article

In: Journal of Hydrologic Engineering, vol. 20, no. 10, 2015.

Links | BibTeX

46.

Putu Harry Gunawan; Xavier Lhébrard

Hydrostatic relaxation scheme for the 1D shallow water - Exner equations in bedload transport Journal Article

In: Computers and Fluids, vol. 121, pp. 44–50, 2015.

Links | BibTeX

47.

Stéphane Clain; C. Reis; R. Costa; J. Figueiredo; M. A. Baptista; J. M. Miranda

The Tagus 1969 tsunami simulation with a finite volume solver and the hydrostatic reconstruction technique Miscellaneous

2015.

Links | BibTeX

48.

Morgan Abily

High-resolution modelling with bi-dimensional shallow water equations based codes: high-resolution topographic data use for flood hazard assessment over urban and industrial environments PhD Thesis

École doctorale Sciences et technologies de l'information et de la communication. Université Nice Sophia Antipolis, 2015.

Links | BibTeX

49.

Benjamin Tatlock

A hybrid finite-volume finite-difference rotational Boussinesq-type model of surf-zone hydrodynamics PhD Thesis

University of Nottingham, 2015.

Links | BibTeX

50.

Mohammad Zakerzadeh; Georg May

On the convergence of a shock capturing discontinuous Galerkin method for nonlinear hyperbolic systems of conservation laws Journal Article

In: SIAM Journal on Numerical Analysis, vol. 54, no. 2, pp. 874–898, 2016.

Links | BibTeX

51.

Adriano Rodrigues de Melo; Liliana Madalena Gramani; Eloy Kaviski

Método CE/SE com funções de base polinomial de segunda ordem para as equações de Saint-Venant unidimensionais Journal Article

In: Revista Interdisciplinar de Pesquisa em Engenharia, vol. 2, no. 12, pp. 44–59, 2016.

Links | BibTeX

52.

Mohammad Farid; Bagus Yakti; Akbar Rizaldi; Mohammad Adityawan

Finite Difference Numerical Scheme for Simulating Dam Break Flow Proceedings Article

In: The 5th HATHI International Seminar on Water Resilience in a Changing World, 2016.

Links | BibTeX

53.

Sara Pavan

Nouveaux schémas de convection pour les écoulements à surface libre PhD Thesis

Université Paris-Est, 2016.

Links | BibTeX

54.

Zhenzhen Wang; Gang Li; Olivier Delestre

Well-balanced finite difference weighted essentially non-oscillatory schemes for the blood flow model Journal Article

In: International Journal for Numerical Methods in Fluids, vol. 82, no. 9, pp. 607–622, 2016.

Links | BibTeX

55.

Alessandro Valiani; Valerio Caleffi

Free surface axially symmetric flows and radial hydraulic jumps Journal Article

In: Journal of Hydraulic Engineering, vol. 142, no. 4, 2016.

Links | BibTeX

56.

Martin Fišer; Ilhan Özgen; Reinhard Hinkelmann; Jan Vimmr

A mass conservative well-balanced reconstruction at wet/dry interfaces for the Godunov-type shallow water model Journal Article

In: International Journal for Numerical Methods in Fluids, vol. 82, no. 12, pp. 893–908, 2016.

Links | BibTeX

57.

Mohammad Zakerzadeh; Georg May

High-order entropy stable discontinuous Galerkin schemes in a space-time computational framework Proceedings Article

In: 46th AIAA Fluid Dynamics Conference, pp. 14, American Institute of Aeronautics and Astronautics American Institute of Aeronautics and Astronautics, Washington, D. C., USA, 2016.

Links | BibTeX

58.

Lorenzo Minatti; Pina Nicoletta De Cicco; Luca Solari

Second order discontinuous Galerkin scheme for compound natural channels with movable bed. Applications for the computation of rating curves Journal Article

In: Advances in Water Resources, vol. 93, pp. 89–104, 2016.

Links | BibTeX

59.

Prapti Neupane

Advances towards a multi-dimensional discontinuous Galerkin method for modeling hurricane storm surge induced flooding in coastal watersheds PhD Thesis

Computational Science, Engineering, and Mathematics, 2016.

Links | BibTeX

60.

Laurent Courty; Adrián Pedrozo-Acuña

A GRASS GIS module for 2D superficial flow simulations Proceedings Article

In: 12th International Conference on Hydroinformatics, pp. 6, Incheon, Korea, 2016.

Links | BibTeX

61.

Thida Pongsanguansin; Montri Maleewong; Khamron Mekchay

Shallow-water simulations by a well-balanced WAF finite volume method: a case study to the great flood in 2011, Thailand Journal Article

In: Computational Geosciences, vol. 20, no. 6, pp. 1269–1285, 2016.

Links | BibTeX

62.

Victor Michel-Dansac

Development of high-order well-balanced schemes for geophysical flows PhD Thesis

Faculté des sciences et des techniques. Université de Nantes, 2016.

Links | BibTeX

63.

S. Clain; C. Reis; R. Costa; J. Figueiredo; M. A. Baptista; J. M. Miranda

Second-order finite volume with hydrostatic reconstruction for tsunami simulation Journal Article

In: Journal of Advances in Modeling Earth Systems, vol. 8, no. 4, pp. 1691–1713, 2016.

Links | BibTeX

64.

Kailiang Wu; Huazhong Tang

A Newton multigrid method for steady-state shallow water equations with topography and dry areas Journal Article

In: Applied Mathematics and Mechanics, vol. 37, no. 11, pp. 1441–1466, 2016.

Links | BibTeX

65.

Xingye Ni; Jinyu Sheng; Weibing Feng

Simulation of free-surface flow using the smoothed particle hydrodynamics (SPH) method with radiation open boundary conditions Journal Article

In: Journal of Atmospheric and Oceanic Technology, vol. 33, no. 11, pp. 2435–2460, 2016.

Links | BibTeX

66.

Chinedu Nwaigwe

Coupling methods for 2D/1D shallow water flow models for flood simulations. PhD Thesis

University of Warwick, 2016.

Links | BibTeX

67.

Mathilde Legrand

Étude mathématique de modèles de couches visqueuses pour des écoulements naturels PhD Thesis

Université d'Orléans, 2016.

Links | BibTeX

68.

Mohamed Wahib; Naoya Maruyama; Takayuki Aoki

Daino: a high-level framework for parallel and efficient AMR on GPUs Proceedings Article

In: SC '16: Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis, pp. 621–632, Salt Lake City, UT, USA, 2016, ISSN: 2167-4337.

Links | BibTeX

69.

Jocelaine Cargnelutti; Vanderlei Galina; Eloy Kaviski; Liliana Gramani; Adilandri Lobeiro

Simulação de onda de maré por meio do método do reticulado de Boltzmann Proceedings Article

In: I Simpósio de Métodos Numéricos em Engenharia, Curitiba, Brazil, 2016.

Links | BibTeX

70.

Carine Lucas

Modélisation de problèmes de mécanique des fluides : approches théoriques et numériques PhD Thesis

Université d'Orléans, 2016.

Links | BibTeX

71.

Yong Zhang; Pengzhi Lin

An improved SWE model for simulation of dam-break flows Journal Article

In: Proceedings of the Institution of Civil Engineers - Water Management, vol. 169, no. 6, pp. 260–274, 2016.

Links | BibTeX

72.

Hendrik Ranocha

Shallow water equations: split-form, entropy stable, well-balanced, and positivity preserving numerical methods Journal Article

In: GEM - International Journal on Geomathematics, vol. 8, no. 1, pp. 85–133, 2016.

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73.

Andrea Gilberto Filippini

Free surface flow simulation in estuarine and coastal environments: Numerical development and application on unstructured meshes PhD Thesis

Université de Bordeaux, 2016.

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74.

Nicole Goutal; Minh-Hoang Le; Philippe Ung

A Godunov-type scheme for shallow water equations dedicated to simulations of overland flows on stepped slopes Book Section

In: Cancès, C.; Omnes, P. (Ed.): Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems, vol. 200, pp. 275–283, Springer International Publishing, 2017.

Links | BibTeX

75.

Pascal Azerad; Jean-Luc Guermond; Bojan Popov

Well-balanced second-order approximation of the shallow water equation with continuous finite elements Journal Article

In: SIAM Journal on Numerical Analysis, vol. 55, no. 6, pp. 3203–3224, 2017.

Links | BibTeX

76.

Y. Peng; J. P. Meng; J. M. Zhang

Multispeed lattice Boltzmann model with space-filling lattice for transcritical shallow water flows Journal Article

In: Mathematical Problems in Engineering, vol. 2017, pp. 1–5, 2017.

Links | BibTeX

77.

A. R. Ghigo; O. Delestre; J. -M. Fullana; P. -Y. Lagrée

Low-Shapiro hydrostatic reconstruction technique for blood flow simulation in large arteries with varying geometrical and mechanical properties Journal Article

In: Journal of Computational Physics, vol. 331, pp. 108–136, 2017.

Links | BibTeX

78.

S. Clain; J. Figueiredo

The MOOD method for the non-conservative shallow-water system Journal Article

In: Computers and Fluids, vol. 145, pp. 99–128, 2017.

Links | BibTeX

79.

Xin Liu; Abdolmajid Mohammadian; Julio Ángel Infante Sedano; Alexander Kurganov

Three-dimensional shallow water system: A relaxation approach Journal Article

In: Journal of Computational Physics, vol. 333, pp. 160–179, 2017.

Links | BibTeX

80.

Victor Michel-Dansac; Christophe Berthon; Stéphane Clain; Françoise Foucher

A well-balanced scheme for the shallow-water equations with topography or Manning friction Journal Article

In: Journal of Computational Physics, vol. 335, pp. 115–154, 2017.

Links | BibTeX

81.

Claudia Reis; Jorge Figueiredo; Stéphane Clain; Rachid Omira; M. Baptista; Jorge Miranda

MUSCL vs MOOD techniques to solve the SWE in the framework of tsunami events Proceedings Article

In: 3rd International Conference on Numerical and Symbolic Computation: Developments and Applications, pp. 189-204, Universidade do Minho, Guimarães, Portugal, 2017.

Links | BibTeX

82.

Laurent Guillaume Courty; Adrián Pedrozo-Acuña; Paul David Bates

Itzï (version 17.1): an open-source, distributed GIS model for dynamic flood simulation Journal Article

In: Geoscientific Model Development, vol. 10, no. 4, pp. 1835–1847, 2017.

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83.

Mi-Young Kim; Eun-Jae Park; Jaemin Shin

High-order discontinuous Galerkin methods with Lagrange multiplier for hyperbolic systems of conservation laws Journal Article

In: Computers and Mathematics with Applications, vol. 73, no. 9, pp. 1945–1974, 2017.

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84.

Alessandro De Rosis

A central moments-based lattice Boltzmann scheme for shallow water equations Journal Article

In: Computer Methods in Applied Mechanics and Engineering, vol. 319, pp. 379–392, 2017.

Links | BibTeX

85.

David Hugh Williams

Green-water phenomena for feed barges in exposed sea areas Masters Thesis

Institutt for marin teknikk, Norwegian University of Science and Technology, Norway, 2017.

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86.

E. Abreu; W. Lambert; J. Perez; A. Santo

A new finite volume approach for transport models and related applications with balancing source terms Journal Article

In: Mathematics and Computers in Simulation, vol. 137, pp. 2–28, 2017.

Links | BibTeX

87.

A. Rodrigues; L. M. Gramani; E. Kaviski

High-order CE/SE scheme for dam-break flow simulation Journal Article

In: Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería, vol. 34, no. 1, pp. 9, 2017.

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88.

J. François

A study of Lagrangian-Eulerian methods for hyperbolic problems and balance laws PhD Thesis

Instituto de Matemática, Estatística e Computação Científica. Universidade Estadual de Campinas, 2017.

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89.

Gang Li; Olivier Delestre; Li Yuan

Well-balanced discontinuous Galerkin method and finite volume WENO scheme based on hydrostatic reconstruction for blood flow model in arteries Journal Article

In: International Journal for Numerical Methods in Fluids, vol. 86, no. 7, pp. 491–508, 2017.

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90.

Arthur Ghigo

Reduced-order models for blood flow in networks of large arteries PhD Thesis

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91.

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A high order well-balanced finite volume WENO scheme for a blood flow model in arteries Journal Article

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92.

Olivier Delestre; Frédéric Darboux; François James; Carine Lucas; Christian Laguerre; Stéphane Cordier

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93.

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94.

Jean-Luc Guermond; Manuel Quezada Luna; Bojan Popov; Christopher E. Kees; Matthew W. Farthing

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The Analytical Solution Of The Nonlinear Shallow Water Equations By Using Laplace Variational Iteration Method Masters Thesis

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96.

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97.

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Stable and convergent discontinuous Galerkin methods for hyperbolic and viscous systems of conservation laws PhD Thesis

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98.

Simone Marras; Michal A. Kopera; Emil M. Constantinescu; Jenny Suckale; Francis X. Giraldo

A residual-based shock capturing scheme for the continuous/discontinuous spectral element solution of the 2D shallow water equations Journal Article

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100.

Laurent Guillaume Courty

Integrated modelling of overland flows and drainage networks in a urban environment PhD Thesis

Universidad Nacional Autónoma De México, 2018.

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101.

Laurent Courty

Integrated modelling of overland flows and drainage networks in a urban environment PhD Thesis

2018.

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102.

Boris Bonev; Jan S. Hesthaven; Francis X. Giraldo; Michal A. Kopera

Discontinuous Galerkin scheme for the spherical shallow water equations with applications to tsunami modeling and prediction Journal Article

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103.

Shouguo Qian; Gang Li; Xianqing Lv; Fengjing Shao

An efficient high order well-balanced finite difference WENO scheme for the blood flow model Journal Article

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104.

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Efficient numerical methods for the shallow water equations Masters Thesis

Department of Information Technology. Uppsala University, Sweden, 2018.

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105.

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106.

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107.

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C. Reis; J. Figueiredo; S. Clain; R. Omira; M. A. Baptista; J. M. Miranda

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François James; Pierre-Yves Lagrée; Minh H. Le; Mathilde Legrand

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110.

M. Asadi; M. Mazaheri; J. Mohamad Vali Samani

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111.

Asier Garitano Larrabe

Presa baten apurketaren ekuazioak: zenbakizko metodoen bidezko hurbilpena PhD Thesis

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112.

Jan Nordström; Andrew R. Winters

Energy versus entropy estimates for nonlinear hyperbolic systems of equations Unpublished

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113.

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Multi-Scale Approximation of Thin-Layer Flows on Curved Topographies Unpublished

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114.

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Lattice Boltzmann shallow water equations for large scale hydraulic analysis PhD Thesis

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115.

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Development of an analytical benchmark solution to assess various gradually varied flow computations Journal Article

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116.

Azzedine Abdedou; Azzeddine Soulaïmani

A non-intrusive B-splines Bézier elements-based method for uncertainty propagation Journal Article

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117.

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118.

Eric Ngondiep; Alqahtani T. Rubayyi; Jean C. Ntonga

A MacCormack method for complete shallow water equations with source terms Miscellaneous

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119.

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New directional vector limiters for discontinuous Galerkin methods Journal Article

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120.

Andreas Buttinger-Kreuzhuber; Zsolt Horváth; Sebastian Noelle; Günter Blöschl; Jürgen Waser

A fast second-order shallow water scheme on two-dimensional structured grids over abrupt topography Journal Article

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Eduardo Abreu; John Pérez

A fast, robust, and simple Lagrangian-Eulerian solver for balance laws and applications Journal Article

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122.

Roger Moussa; Samer Majdalani

Evaluating lateral flow in an experimental channel using the diffusive wave inverse problem Journal Article

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123.

Xiaoning Li

Understanding of road-bioretention strip design and improvement from hydraulic perspective PhD Thesis

Graduate Faculty of Auburn University, 2019.

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124.

Mario Morales Hernandez; Md Bulbul Sharif; Sudershan Gangrade; Tigstu T. Dullo; Shih-Chieh Kao; Alfred J. Kalyanapu; Sheikh Ghafoor; Katherine J. Evans

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125.

Georges Kesserwani; James Shaw; Mohammad K. Sharifian; Domenico Bau; Christopher J. Keylock; Paul D. Bates; Jennifer K. Ryan

(Multi)wavelets increase both accuracy and efficiency of standard Godunov-type hydrodynamic models Journal Article

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126.

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A linear and nonlinear analysis of the shallow water equations and its impact on boundary conditions Miscellaneous

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127.

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128.

Túlio Santos; Alvaro Coutinho

A comparative study on the use of stabilized and flux-corrected transport finite element methods to solve the shallow water equations Proceedings Article

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129.

Christos E. Papoutsellis; Marissa L. Yates; Bruno Simon; Michel Benoit

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130.

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Predicting the steady state solutions of the 1D shallow water equations Technical Report

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131.

Shannon Leakey; Caspar J. M. Hewett; Vassilis Glenis; Paul F. Quinn

Modelling the impact of leaky barriers with a 1D Godunov-type scheme for the shallow water equations Journal Article

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Sara Venturi; Silvia Di Francesco; Martin Geier; Piergiorgio Manciola

A new collision operator for lattice Boltzmann shallow water model: a convergence and stability study Journal Article

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133.

Hugo Fonseca Jebe Loureiro

Estudo De Um Método De Otimização Para O Posicionamento De Turbinas Hidráulicas Em Um Escoamento Gradualmente Variado Masters Thesis

Universidad Federal do Rio de Janeiro / Escola Politécnica, 2020, (Master Thesis).

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134.

Sacha Revillon; Florent Taccone; Fabien Souillé

A newly implemented upwind scheme and numerical benchmark for the resolution of the Exner equation in GAIA Proceedings Article

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Galilean-invariant expression for Bernoulli's equation Journal Article

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Saqib Zia; Omar Rabbani; Sidrah Ahmed; Asad Rehman

Numerical approximation of blood flow in arteries using kinetic flux-vector splitting (KFVS) scheme Journal Article

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Basile Lavoie; Tew-Fik Mahdi

Manning's roughness coefficient determination in laboratory experiments using 2D modeling and automatic calibration Journal Article

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138.

Túlio L. Santos; Alexandre A. O. Lopes; Alvaro L. G. A. Coutinho

A shallow water event-driven approach to simulate turbidity currents at stratigraphic scale Journal Article

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Putu Harry Gunawan

OpenMP performance in numerical simulation of dambreak problem using shallow water equations Journal Article

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140.

Hossein Saboorkazeran; Mehdi Raoofian Naeeni; Mohammad Ali Banihashemi

Short-term and long-term solutions of two-dimensional shallow water equations using the modified decomposition method Journal Article

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141.

Hu Li; Chengxin Qin; Weiqi He; Fu Sun; Pengfei Du

Prototyping a numerical model coupled with remote sensing for tracking harmful algal blooms in shallow lakes Journal Article

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142.

Mina Bagherpoorfard; Ali R. Soheili

Moving mesh version of wave propagation algorithm based on augmented Riemann solver Journal Article

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143.

Håvard H. Holm; André R. Brodtkorb; Göran Broström; Kai H. Christensen; Martin L. Sætra

Evaluation of selected finite-difference and finite-volume approaches to rotational shallow-water flow Journal Article

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144.

Bandung Arry Sanjoyo; Mochamad Hariadi; Mauridhi Hery Purnomo

Stable algorithm based on Lax-Friedrichs scheme for visual simulation of shallow water Journal Article

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145.

Marco Pilotti; Luca Milanesi; Vito Bacchi; Massimo Tomirotti; Andrea Maranzoni

Dam-break wave propagation in Alpine valley with HEC-RAS 2D: experimental Cancano test case Journal Article

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Stelian Ion; Stefan-Gicu Cruceanu; Dorin Marinescu

Constructive approach of the solution of Riemann problem for shallow water equations with topography and vegetation Journal Article

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Catalina Cortés-Vélez; Beatriz Martín-Atienza; Rafael Hernandez-Walls

1-D shallow water equation, with no viscosity and no rotation, for a topography represented by a quadratic function Journal Article

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Daniel Giles; Eugene Kashdan; Dimitra M. Salmanidou; Serge Guillas; Frédéric Dias

Performance analysis of Volna-OP2 - massively parallel code for tsunami modelling Journal Article

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Jantiene E. M. Baartman; João Pedro Nunes; Rens Masselink; Frédéric Darboux; Charles Bielders; Aurore Degré; Vincent Cantreul; Olivier Cerdan; Thomas Grangeon; Peter Fiener; Florian Wilken; Marcus Schindewolf; John Wainwright

What do models tell us about water and sediment connectivity? Journal Article

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Elena Bachini; Mario Putti

Geometrically intrinsic modeling of shallow water flows Journal Article

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151.

Enda O'Dea; Michael J. Bell; Andrew Coward; Jason Holt

Implementation and assessment of a flux limiter based wetting and drying scheme in NEMO Journal Article

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152.

Azzedine Abdedou; Azzeddine Soulaïmani; Georges Williams Tchamen

Uncertainty propagation of dam break flow using the stochastic non-intrusive B-splines Bézier elements-based method Journal Article

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Lukas Lundgren; Ken Mattsson

An efficient finite difference method for the shallow water equations Journal Article

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Angelie Ferrolino; Renier Mendoza; Ikha Magdalena; Jose Ernie Lope

Application of particle swarm optimization in optimal placement of tsunami sensors Journal Article

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Hasan Karjoun; Abdelaziz Beljadid; Philippe G. LeFloch

A well-balanced positivity preserving cell-vertex finite volume method satisfying the discrete maximum-minimum principle for coupled models of surface water flow and scalar transport Miscellaneous

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156.

Andreas Buttinger-Kreuzhuber

Accurate and fast hydrodynamic modeling of fluvial and pluvial floods at large scales PhD Thesis

Institut für Wasserbau und Ingenieurhydrologie, 2021.

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157.

Marcel Hurler

Learning free-surface flow with physics-informed neural networks Masters Thesis

Fakultät Informatik, Elektrotechnik und Informationstechnik, University of Stuttgart, Germany, 2021.

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158.

Azzedine Abdedou

Méthodes stochastiques non-intrusives pour l’analyse de la propagation d’incertitudes: Application aux écoulements des ruptures de barrages PhD Thesis

École de technologie supérieure, Université du Quebec, 2021.

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Bandung Arry Sanjoyo; Diana Purwitasari; Mochammad Hariadi; Kikuchi Tsukasa; Mauridhi Hery Purnomo

Shallow Water Models for Efficiently Visualizing Fluid Flow in Complex Topography Areas Journal Article

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160.

Florian De Vuyst

Efficient solvers for shallow-water Saint-Venant equations and debris transportation-deposition models Miscellaneous

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161.

David I. Ketcheson; Manuel Quezada Luna

Numerical simulation and entropy dissipative cure of the carbuncle instability for the shallow water circular hydraulic jump Journal Article

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J. Figueiredo; S. Clain

A MOOD-MUSCL hybrid formulation for the non-conservative shallow-water system Journal Article

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Multi-mesh-scale approximation of thin geophysical mass flows on complex topographies Journal Article

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164.

Edward W. G. Skevington

A well balanced reconstruction with bounded velocities and low-oscillation slow shocks for the shallow water equations Miscellaneous

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Jaemin Shin; Mi-Young Kim

P0 time/space subcell limiting DG-DGLM method for hyperbolic systems of conservation laws Journal Article

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Yu Liu; Zhenhua Chai; Xiuya Guo; Baochang Shi

A lattice Boltzmann model for the viscous shallow water equations with source terms Journal Article

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Raditya Panji Umbara

Simulasi numerik persamaan gelombang air dangkal untuk kasus bendungan Bobol Journal Article

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P. Heinrich; A. Jamelot; A. Cauquis; A. Gailler

Taitoko, an advanced code for tsunami propagation, developed at the French tsunami warning centers Journal Article

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M. Morales-Hernández; Md B. Sharif; A. Kalyanapu; S. K. Ghafoor; T. T. Dullo; S. Gangrade; S. -C. Kao; M. R. Norman; K. J. Evans

TRITON: A multi-GPU open source 2D hydrodynamic flood model Journal Article

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Amina Nouhou-Bako; Carine Lucas; Frédéric Darboux; François James; Noémie Gaveau

A unifying model framework for soil erosion, river bedload and chemical transport Journal Article

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Victor Michel-Dansac; Christophe Berthon; Stéphane Clain; Françoise Foucher

A two-dimensional high-order well-balanced scheme for the shallow water equations with topography and Manning friction Journal Article

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Geoffroy Kirstetter; Olivier Delestre; Pierre-Yves Lagrée; Stéphane Popinet; Christophe Josserand

B-flood 1.0: an open-source Saint-Venant model for flash flood simulation using adaptive refinement Journal Article

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Hasan Karjoun; Abdelaziz Beljadid; Philippe G. LeFloch

A structure-preserving algorithm for surface water flows with transport processes Journal Article

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Knut Omdal Tveito; Arild Håkonsen

Digital twin for design and optimization of DC casting lines Book Section

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175.

Jacopo Li Volsi

A multilayer shallow water like method applied to thin film Masters Thesis

ING - Scuola di Ingegneria Industriale e dell'Informazione, 2022.

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176.

Hennes Hajduk; Dmitri Kuzmin

Bound-preserving and entropy-stable algebraic flux correction schemes for the shallow water equations with topography Miscellaneous

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177.

Hennes Hajduk

Algebraically constrained finite element methods for hyperbolic problems with applications in geophysics and gas dynamics PhD Thesis

Fakultät für Mathematik, Technische Universität Dortmund, 2022.

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178.

Manoa Hariliva Rahagason; Ruffin Manasina; Jérôme Velo; Adolph Andriamanga

Numerical simulation of sediment transport in shallow water Journal Article

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179.

Miguel Maso Sotomayor

Coupling shallow water models with three-dimensional models for the study of fluid-structure interaction problems using the particle finite element method PhD Thesis

UPC, Departament d'Enginyeria Civil i Ambiental, 2022.

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180.

Riccardo Anelli

Physics-informed neural networks for Shallow Water equations Masters Thesis

ING - Scuola di Ingegneria Industriale e dell'Informazione, 2022.

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181.

Georgios Sialounas

Reconstruction based error detection for robust approximation of partial differential equations PhD Thesis

School of Mathematical, Physical & Computational Sciences, University of Reading, 2022.

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182.

Stelian Ion; Dorin Marinescu; Stefan-Gicu Cruceanu

Numerical scheme for solving a porous Saint-Venant type model for water flow on vegetated hillslopes Journal Article

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Miguel Masó; Ignasi de-Pouplana; Eugenio Oñate

A FIC-FEM procedure for the shallow water equations over partially wet domains Journal Article

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Payam Sarkhosh; Yee-Chung Jin

MPS modeling of cross-sectional averaged shallow water flows with open boundaries using TVD-MacCormack predictor-corrector Journal Article

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185.

Jiaheng Zhao; Qiuhua Liang

Novel variable reconstruction and friction term discretisation schemes for hydrodynamic modelling of overland flow and surface water flooding Journal Article

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Tigstu Tsige Dullo; Kaveh Zamani; Alfred J. Kalyanapu

Reliability assessment of computational river models Journal Article

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I. Magdalena; Muhamad Fikri Eka Pebriansyah

Numerical treatment of finite difference method for solving dam break model on a wet-dry bed with an obstacle Journal Article

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Dmitri Kuzmin; Hennes Hajduk; Andreas Rupp

Limiter-based entropy stabilization of semi-discrete and fully discrete schemes for nonlinear hyperbolic problems Journal Article

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189.

Christophe Berthon; Solène Bulteau; Françoise Foucher; Meissa M'Baye; Victor Michel-Dansac

A very easy high-order well-balanced reconstruction for hyperbolic systems with source terms Journal Article

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Cristian Brutto; Michael Dumbser

A semi-implicit finite volume scheme for a simplified hydrostatic model for fluid-structure interaction Journal Article

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191.

Mirco Ciallella

High order methods for hyperbolic balance laws: from embedded fronts to structure-preserving schemes PhD Thesis

Université de Bordeaux, 2022.

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192.

Fatima-Zahra Mihami; Volker Roeber; Denis Morichon

Efficient numerical computations of long-wave run-up and their sensitivity to grid nesting Journal Article

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193.

Mathieu Rigal

Low Froude regime and implicit kinetic schemes for the Saint-Venant system PhD Thesis

Sorbonne Université, 2022.

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194.

Eduardo Abreu; Arthur Espı́rito Santo; Wanderson Lambert; John Pérez

Convergence, bounded variation properties and Kruzhkov solution of a fully discrete Lagrangian–Eulerian scheme via weak asymptotic analysis for 1D hyperbolic problems Journal Article

In: Numerical Methods for Partial Differential Equations, 2022.

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195.

Nelly Boulos Al Makary

Stationary solutions and well-balanced schemes for the Shallow Water model with two velocities and topography PhD Thesis

Sorbonne Paris Nord, 2022.

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196.

Alice Masset

Équations de Saint-Venant avec effets rotatifs et thermiques : aspects théoriques et schémas numériques PhD Thesis

Université de Picardie Jules Verne, 2022.

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197.

Rubayyi T. Alqahtani; Jean C. Ntonga; Eric Ngondiep

Stability analysis and convergence rate of a two-step predictor-corrector approach for shallow water equations with source terms Journal Article

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198.

Lorenzo Micalizzi; Mario Ricchiuto; Rémi Abgrall

Novel well-balanced continuous interior penalty stabilizations Miscellaneous

2023.

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199.

Manish Kumar; Michael D. Graham

Effect of polymer additives on dynamics of water level in an open channel Miscellaneous

2023.

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200.

Sergii Kivva

Entropy stable flux correction for hydrostatic reconstruction scheme for shallow water flows Miscellaneous

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201.

Luca Cozzolino; Giada Varra; Luigi Cimorelli; Renata Della Morte

Mathematical and numerical modelling of rapid transients at partially lifted sluice gates Miscellaneous

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202.

Süleyman Cengizci; Ömür Uğur

SUPG formulation augmented with YZ-beta shock-capturing for computing shallow-water equations Journal Article

In: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik, 2023.

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203.

Daniel Caviedes-Voullième; Mario Morales-Hernández; Matthew R. Norman; Ilhan Özgen-Xian

SERGHEI (SERGHEI-SWE) v1.0: a performance-portable high-performance parallel-computing shallow-water solver for hydrology and environmental hydraulics Journal Article

In: Geoscientific Model Development, vol. 16, no. 3, pp. 977–1008, 2023.

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204.

Chourouk El Hassanieh; Mathieu Rigal; Jacques Sainte-Marie

Implicit kinetic schemes for the Saint-Venant system Unpublished

2023.

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205.

Alessandro De Rosis

A comparison of lattice Boltzmann schemes for sub-critical shallow water flows Journal Article

In: Physics of Fluids, vol. 35, no. 4, 2023.

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206.

Stelian Ion; Dorin Marinescu; Stefan Gicu Cruceanu

Analysis of the effects of curvature on the solutions of Shallow Water equations Proceedings Article

In: 13th International Symposium on Advanced Topics in Electrical Engineering (ATEE), pp. 1-6, IEEE, 2023.

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207.

Revi Nurfathhiyah Hadiarti; Sri Redjeki Pudjaprasetya; Putu Veri Swastika

The momentum-conserving simulation for shallow water flows in channels with arbitrary cross-sections Journal Article

In: European Journal of Mechanics - B/fluids, vol. 99, pp. 74–83, 2023.

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208.

Mattia de' Michieli Vitturi; Tomaso Esposti Ongaro; Samantha Engwell

IMEX_SfloW2D v2: a depth-averaged numerical flow model for volcanic gas-particle flows over complex topographies and water Journal Article

In: 2023.

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209.

Azzedine Abdedou; Azzeddine Soulaïmani

Reduced-order modeling for stochastic large-scale and time-dependent problems using deep spatial and temporal convolutional autoencoders Journal Article

In: Advanced Modeling and Simulation in Engineering Sciences, vol. 10, no. 1, pp. 7, 2023.

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210.

Kao-Hua Chang

A novel Eulerian SPH shallow water model for 2D overland flow simulations Journal Article

In: Journal of Hydrology, vol. 621, pp. 129581, 2023.

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211.

Ian Madden; Simone Marras; Jenny Suckale

Leveraging Google's tensor processing units for tsunami-risk mitigation planning in the Pacific Northwest and beyond Journal Article

In: Geoscientific Model Development, vol. 16, no. 12, pp. 3479–3500, 2023.

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212.

Mirco Ciallella; Davide Torlo; Mario Ricchiuto

Arbitrary high order WENO finite volume scheme with flux globalization for moving equilibria preservation Journal Article

In: Journal of Scientific Computing, vol. 96, no. 2, pp. 53, 2023.

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213.

V. V. Churuksaeva; A. V. Starchenko

High-accurate finite volume approximationsfor 2D unsteady shallow-water equations Proceedings Article

In: Free boundary problems: theory, experiment and applications, pp. 224, TSU Press, Tomsk, Russia, 2023.

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