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.
机构:
Univ Nantes, CNRS, UMR 6629, Lab Math Jean Leray, 2 Rue Houssiniere,BP 92208, F-44322 Nantes 3, FranceUniv Strasbourg, CNRS, INRIA, IRMA, F-67000 Strasbourg, France
机构:
Univ Nantes, CNRS, UMR 6629, Lab Math Jean Leray, 2 Rue Houssiniere,BP 92208, F-44322 Nantes 3, France
Ecole Cent Nantes, 1 Rue La Noe,BP 92101, F-44321 Nantes 3, FranceUniv Strasbourg, CNRS, INRIA, IRMA, F-67000 Strasbourg, France
机构:
Univ Picardie Jules Verne, Lab Amienois Math Fondamentale & Appliquee LAMFA U, 33 Rue St Leu, F-80039 Amiens, FranceUniv Picardie Jules Verne, Lab Amienois Math Fondamentale & Appliquee LAMFA U, 33 Rue St Leu, F-80039 Amiens, France
Desveaux, Vivien
Masset, Alice
论文数: 0引用数: 0
h-index: 0
机构:
Univ Picardie Jules Verne, LAMFA UMR CNRS 7352, 33 Rue St Leu, F-80039 Amiens, FranceUniv Picardie Jules Verne, Lab Amienois Math Fondamentale & Appliquee LAMFA U, 33 Rue St Leu, F-80039 Amiens, France
机构:
Oak Ridge Natl Lab, Div Math & Comp Sci, Oak Ridge, TN 37831 USA
Univ Tennessee, Dept Math, Knoxville, TN 37996 USAOak Ridge Natl Lab, Div Math & Comp Sci, Oak Ridge, TN 37831 USA
机构:
Univ Nantes, CNRS, UMR 6629, Lab Math Jean Leray, 2 Rue Houssiniere,BP 92208, F-44322 Nantes 3, FranceUniv Strasbourg, CNRS, INRIA, IRMA, F-67000 Strasbourg, France
机构:
Univ Nantes, CNRS, UMR 6629, Lab Math Jean Leray, 2 Rue Houssiniere,BP 92208, F-44322 Nantes 3, France
Ecole Cent Nantes, 1 Rue La Noe,BP 92101, F-44321 Nantes 3, FranceUniv Strasbourg, CNRS, INRIA, IRMA, F-67000 Strasbourg, France
机构:
Univ Picardie Jules Verne, Lab Amienois Math Fondamentale & Appliquee LAMFA U, 33 Rue St Leu, F-80039 Amiens, FranceUniv Picardie Jules Verne, Lab Amienois Math Fondamentale & Appliquee LAMFA U, 33 Rue St Leu, F-80039 Amiens, France
Desveaux, Vivien
Masset, Alice
论文数: 0引用数: 0
h-index: 0
机构:
Univ Picardie Jules Verne, LAMFA UMR CNRS 7352, 33 Rue St Leu, F-80039 Amiens, FranceUniv Picardie Jules Verne, Lab Amienois Math Fondamentale & Appliquee LAMFA U, 33 Rue St Leu, F-80039 Amiens, France
机构:
Oak Ridge Natl Lab, Div Math & Comp Sci, Oak Ridge, TN 37831 USA
Univ Tennessee, Dept Math, Knoxville, TN 37996 USAOak Ridge Natl Lab, Div Math & Comp Sci, Oak Ridge, TN 37831 USA