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

页码：1 / 12

页数：12

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