WELL-BALANCED SIMULATION OF GEOPHYSICAL FLOWS VIA THE SHALLOW WATER EQUATIONS WITH BOTTOM TOPOGRAPHY: CONSISTENCY AND NUMERICAL COMPUTATION

被引：0

作者：

Mueller, Thomas ^{[1
]}

Pfeiffer, Axel ^{[1
]}

机构：

[1] Univ Freiburg, Abt Angew Math, Hermann Herder Str 10, D-79104 Freiburg, Germany

来源：

HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS | 2014年 / 8卷

关键词：

Shallow water equations; finite volume schemes; well-balanced schemes; wetting and drying; finite volume schemes on surfaces; consistency; SCALAR CONSERVATION-LAWS; SCHEME; ORDER;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this contribution we review a well-balancing modification for the shallow water equations and give a new result on its order of consistency, where dry regions are included. Furthermore, we combine the well-balancing modification with an existing wetting and drying approach. We show numerical results including the application to equations posed on surfaces including a realistic bottom topography. For this, we propose a finite volume scheme that is able to deal with a variety of surfaces.

引用

页码：801 / 808

页数：8

共 50 条

[21] A robust and well-balanced numerical model for solving the two-layer shallow water equations over uneven topography
Lu, Xinhua
Dong, Bingjiang
Mao, Bing
Zhang, Xiaofeng
COMPTES RENDUS MECANIQUE, 2015, 343 (7-8): : 429 - 442
[22] A Well-Balanced Reconstruction of Wet/Dry Fronts for the Shallow Water Equations
Bollermann, Andreas
Chen, Guoxian
Kurganov, Alexander
Noelle, Sebastian
JOURNAL OF SCIENTIFIC COMPUTING, 2013, 56 (02) : 267 - 290
[23] A new well-balanced spectral volume method for solving shallow water equations over variable bed topography with wetting and drying
Yousefi, Mohsen Hadadian Nejad
Najafabadi, Seyed Hossein Ghoreishi
Tohidi, Emran
ENGINEERING WITH COMPUTERS, 2023, 39 (05) : 3099 - 3130
[24] Well-balanced methods for the shallow water equations in spherical coordinates
Castro, Manuel J.
Ortega, Sergio
Pares, Carlos
COMPUTERS & FLUIDS, 2017, 157 : 196 - 207
[25] A Well-Balanced Runge-Kutta Discontinuous Galerkin Method for Multilayer Shallow Water Equations with Non-Flat Bottom Topography
Izem, Nouh
Seaid, Mohammed
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2022, 14 (03) : 725 - 758
[26] Well-balanced schemes for the shallow water equations with Coriolis forces
Chertock, Alina
Dudzinski, Michael
Kurganov, Alexander
Lukacova-Medvid'ova, Maria
NUMERISCHE MATHEMATIK, 2018, 138 (04) : 939 - 973
[27] High Resolution Well-Balanced Compact Implicit Numerical Scheme for Numerical Solution of the Shallow Water Equations
Zeravy, Michal
Frolkovic, Peter
HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS, VOL II, HYP2022, 2024, 35 : 233 - 243
[28] A well-balanced finite volume solver for the 2D shallow water magnetohydrodynamic equations with topography
Cisse, Abou
Elmahi, Imad
Kissami, Imad
Ratnani, Ahmed
COMPUTER PHYSICS COMMUNICATIONS, 2024, 305
[29] Well-balanced finite volume evolution Galerkin methods for the shallow water equations
Lukacova-Medvid'ova, M.
Noelle, S.
Kraft, M.
JOURNAL OF COMPUTATIONAL PHYSICS, 2007, 221 (01) : 122 - 147
[30] A parallel well-balanced finite volume method for shallow water equations with topography on the cubed-sphere
Yang, Chao
Cai, Xiao-Chuan
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 235 (18) : 5357 - 5366

← 1 2 3 4 5 →