Upwind WENO scheme for Shallow Water Equations in contravariant formulation

被引：17
|
作者：
Gallerano, F. [1 ]
Cannata, G. [1 ]
Tamburrino, M. [1 ]
机构：
[1] Univ Roma La Sapienza, Dipartimento Ingn Civile Edile & Ambientale, I-00184 Rome, Italy
来源：
COMPUTERS & FLUIDS | 2012年 / 62卷
关键词：
2D Shallow Water Equations; Upwind WENO scheme; Contravariant formulation; Christoffel symbols; Freestream preservation; HYPERBOLIC CONSERVATION-LAWS; NAVIER-STOKES EQUATIONS; INVARIANT DISCRETIZATION; FINITE-DIFFERENCE; MODEL; SYSTEMS; FLOWS; JETS; FORM;
D O I：
10.1016/j.compfluid.2012.03.004
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
An Upwind Weighted Essentially Non-Oscillatory scheme for the solution of the Shallow Water Equations on generalized curvilinear coordinate systems is proposed. The Shallow Water Equations are expressed in a contravariant formulation in which Christoffel symbols are avoided. The equations are solved by using a high-resolution finite-volume method incorporated with an exact Riemann solver. A procedure developed in order to correct errors related to the difficulties of numerically satisfying the metric identities on generalized boundary-conforming grids is presented; this procedure allows the numerical scheme to satisfy the freestream preservation property on highly-distorted grids. The proposed scheme ensures the satisfaction of the C-property. The model is verified against several benchmark tests, and the results are compared with theoretical and alternative numerical solutions. (C) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1 / 12
页数：12
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