Search Results

• A High Order Central DG Method of the Two-Layer Shallow Water Equations

  Yongping Cheng, Haiyun Dong, Maojun Li, Weizhi Xian

  2020-08-27

  49139 3227 Pages:1437-1463

• A Computational Model for Simulation of Shallow Water Waves by Elastic Deformations in the Topography

  Alia Al-Ghosoun, Ashraf S. Osman, Mohammed Seaid

  2021-02-25

  44829 3228 Pages:1095-1124

• Capturing Vertical Information in Radially Symmetric Flow Using Hyperbolic Shallow Water Moment Equations

  Rik Verbiest, Julian Koellermeier

  2025-09-02

  10355 570 Pages:810-848

• A Well-Balanced Partial Relaxation Scheme for the Two-Dimensional Saint-Venant System

  Xi Chen, Alexander Kurganov

  2023-06-06

  37727 2803 Pages:1432-1465

• Analysis and Numerical Simulation of Hyperbolic Shallow Water Moment Equations

  Julian Koellermeier, Marvin Rominger

  2020-07-21

  47913 3228 Pages:1038-1084

• Localized Exponential Time Differencing Method for Shallow Water Equations: Algorithms and Numerical Study

  Xucheng Meng, Thi-Thao-Phuong Hoang, Zhu Wang, Lili Ju

  2020-11-26

  47999 4648 Pages:80-110

• Simulation of Three-Dimensional Free-Surface Flows Using Two-Dimensional Multilayer Shallow Water Equations

  Saida Sari, Thomas Rowan, Mohammed Seaid, Fayssal Benkhaldoun

  2020-05-06

  49999 3635 Pages:1413-1442

• Flux Globalization Based Well-Balanced Path-Conservative Central-Upwind Scheme for the Thermal Rotating Shallow Water Equations

  Yangyang Cao, Alexander Kurganov, Yongle Liu

  2023-11-08

  30697 2645 Pages:993-1042

• GPU Accelerated Discontinuous Galerkin Methods for Shallow Water Equations

  Rajesh Gandham, David Medina, Timothy Warburton

  2018-04-03

  42671 4693 Pages:37-64

• Boundary Conditions for Limited Area Models Based on the Shallow Water Equations

  Arthur Bousquet, Madalina Petcu, Ming-Cheng Shiue, Roger Temam, Joseph Tribbia

  2013-09-05

  39378 3990 Pages:664-702

• A Well-Balanced Positivity-Preserving Quasi-Lagrange Moving Mesh DG Method for the Shallow Water Equations

  Min Zhang, Weizhang Huang, Jianxian Qiu

  2021-12-06

  49319 3999 Pages:94-130

• High Order Asymptotic Preserving and Well-Balanced Schemes for the Shallow Water Equations with Source Terms

  Guanlan Huang, Sebastiano Boscarino, Tao Xiong

  2024-06-14

  35797 1898 Pages:1229-1262

• Finite Volume Evolution Galerkin Methods for the Shallow Water Equations with Dry Beds

  Andreas Bollermann, Sebastian Noelle, Maria Lukáčová-Medvid'ová

  2011-10-01

  37984 3995 Pages:371-404

• The Riemann Problem for the Dispersive Nonlinear Shallow Water Equations

  Giovanna Grosso, Matteo Antuono, Eleuterio Toro

  2010-07-01

  41572 4414 Pages:64-102

• Entropies and Symmetrization of Hyperbolic Stochastic Galerkin Formulations

  Stephan Gerster, Michael Herty

  2020-07-30

  48358 5793 Pages:639-671 Open-access

• A Positivity-Preserving and Well-Balanced High Order Compact Finite Difference Scheme for Shallow Water Equations

  Baifen Ren, Zhen Gao, Yaguang Gu, Shusen Xie, Xiangxiong Zhang

  2024-03-13

  25781 2192 Pages:524-552

• A Well-Balanced and Non-Negative Numerical Scheme for Solving the Integrated Shallow Water and Solute Transport Equations

  Qiuhua Liang

  2010-07-01

  40028 4354 Pages:1049-1075

• Evaluation of Selected Finite-Difference and Finite-Volume Approaches to Rotational Shallow-Water Flow

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

  2020-02-23

  47522 3118 Pages:1234-1274

• A Finite Volume Upwind-Biased Centred Scheme for Hyperbolic Systems of Conservation Laws: Application to Shallow Water Equations

  Guglielmo Stecca, Annunziato Siviglia, Eleuterio F. Toro

  2012-12-01

  39979 4012 Pages:1183-1214

• Equilibrium Preserving Space in Discontinuous Galerkin Methods for Hyperbolic Balance Laws

  Jiahui Zhang, Yinhua Xia, Yan Xu

  2025-07-11

  5438 624 Pages:109-155

• Solving Two-Mode Shallow Water Equations Using Finite Volume Methods

  Manuel Jesus Castro Diaz, Yuanzhen Cheng, Alina Chertock, Alexander Kurganov

  2014-11-08

  41882 4222 Pages:1323-1354

• High Order Well-Balanced Weighted Compact Nonlinear Schemes for Shallow Water Equations

  Zhen Gao, Guanghui Hu

  2017-10-02

  46552 3367 Pages:1049-1068

• Dispersive Shallow Water Wave Modelling. Part I: Model Derivation on a Globally Flat Space

  Gayaz Khakimzyanov, Denys Dutykh, Zinaida Fedotova, Dimitrios Mitsotakis

  2018-07-03

  47428 5108 Pages:1-29

• Dispersive Shallow Water Wave Modelling. Part IV: Numerical Simulation on a Globally Spherical Geometry

  Gayaz Khakimzyanov, Denys Dutykh, Oleg Gusev

  2018-08-21

  47428 3251 Pages:361-407

• Dispersive Shallow Water Wave Modelling. Part II: Numerical Simulation on a Globally Flat Space

  Gayaz Khakimzyanov, Denys Dutykh, Oleg Gusev, Nina Yu. Shokina

  2018-07-03

  47802 5537 Pages:30-92

• A Space-Time Conservative Method for Hyperbolic Systems with Stiff and Non-Stiff Source Terms

  S. Qamar & G. Warnecke

  2006-01-01

  38518 4033 Pages:449-478

• FESTUNG: A MATLAB / GNU Octave Toolbox for the Discontinuous Galerkin Method. Part IV: Generic Problem Framework and Model-Coupling Interface

  Balthasar Reuter, Andreas Rupp, Vadym Aizinger, Florian Frank, Peter Knabner

  2020-06-05

  55276 3306 Pages:827-876