A finite volume method for numerical simulation of shallow water models with porosity

被引：30

作者：

Mohamed, Kamel ^{[1
]}

机构：

[1] Assiut Univ, New Valley, Fac Sci, Dept Math, Assiut, Egypt

来源：

COMPUTERS & FLUIDS | 2014年 / 104卷

关键词：

Shallow water equations; Finite volume method; Source terms; Porosity; Unstructured grids; HYPERBOLIC CONSERVATION-LAWS; EQUATIONS; SCHEMES; FLUX;

D O I：

10.1016/j.compfluid.2014.07.020

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In the current work, we present a new finite volume method for numerical simulation of one and two dimensions of shallow water equations with porosity. The introduction of a porosity into shallow water equations leads to modified expressions for the fluxes and source terms. The proposed method consists of two stages, which can be viewed as a predictor-corrector procedure. The first stage (predictor) of the scheme depends on a local parameter allowing to control diffusion, which modulate by using the limiters theory. The second stage (corrector) recovers the conservation equation. Numerical results are presented for shallow water equations with porosity. It is found that the proposed finite volume method offers a robust and accurate approach for solving shallow water equations with source term and porosity. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：9 / 19

页数：11

共 50 条

[1] Numerical simulation of the sediment transport models in shallow water flows based on new finite volume method
[J]. Mohamed, K. (kmohamed@taibahu.edu.sa), 1600, CESER Publications, Post Box No. 113, Roorkee, 247667, India (31):
[2] Numerical simulation of the sediment transport models in shallow water flows based on new finite volume method
Mohamed, Kamel
Shaban, Hassanein
[J]. INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2013, 31 (01): : 96 - 112
[3] Application of an Unstructured Finite Volume Method to the Shallow Water Equations with Porosity for Urban Flood Modelling
Moumna, Abdelhafid
Kissami, Imad
Elmahi, Imad
Benkhaldoun, Fayssal
[J]. FINITE VOLUMES FOR COMPLEX APPLICATIONS IX-METHODS, THEORETICAL ASPECTS, EXAMPLES, FVCA 9, 2020, 323 : 725 - 734
[4] A finite volume method parallelization for the simulation of free surface shallow water flows
Delis, A. I.
Mathioudakis, E. N.
[J]. MATHEMATICS AND COMPUTERS IN SIMULATION, 2009, 79 (11) : 3339 - 3359
[5] A Finite Volume Method for Large-Eddy Simulation of Shallow Water Equations
Abdellaoui, Rajaa
Benkhaldoun, Fayssal
Elmahi, Imad
Seaid, Mohammed
[J]. FINITE VOLUMES FOR COMPLEX APPLICATIONS VII - ELLIPTIC, PARABOLIC AND HYPERBOLIC PROBLEMS, FVCA 7, 2014, 78 : 741 - 748
[6] Numerical modeling of shallow water flows with wetting and drying boundaries by a finite volume method
Dawson, CN
Chippada, S
[J]. PROCEEDINGS OF THE 1998 CONFERENCE ON MISSION EARTH: MODELING AND SIMULATION OF THE EARTH SYSTEM, 1998, : 9 - 14
[7] A Well-balanced Finite Volume Scheme for Shallow Water Equations with Porosity
Le, Minh H.
Dubos, Virgile
Oukacine, Marina
Goutal, Nicole
[J]. NINTH INTERNATIONAL CONFERENCE ON FLUVIAL HYDRAULICS (RIVER FLOW 2018), 2018, 40
[8] A simple finite volume method for the shallow water equations
Benkhaldoun, Fayssal
Seaid, Mohammed
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2010, 234 (01) : 58 - 72
[9] Projection finite volume method for shallow water flows
Benkhaldoun, Fayssal
Sari, Saida
Seaid, Mohammed
[J]. MATHEMATICS AND COMPUTERS IN SIMULATION, 2015, 118 : 87 - 101
[10] The performance of subgrid-scale models in large-eddy simulation of Langmuir circulation in shallow water with the finite volume method
Zeidi, Seyedmohammadjavad
Sarvepalli, L. Srujana
Tejada-Martinez, Andres E.
[J]. COMPUTERS & FLUIDS, 2024, 284

← 1 2 3 4 5 →