A continuously differentiable upwinding scheme for the simulation of fluid flow problems

被引：5

作者：

Lima, G. A. B. ^{[1
]}

Ferreira, V. G. ^{[1
]}

Cirilo, E. R. ^{[1
]}

Castelo, A. ^{[1
]}

Candezano, M. A. C. ^{[1
]}

Tasso, I. V. M. ^{[1
]}

Sano, D. M. C. ^{[2
]}

Scalvi, L. V. A. ^{[3
]}

机构：

[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Dept Matemat Aplicada & Estat, Sao Carlos, SP, Brazil

[2] Univ Oeste Paulista, Fac Ciencias Letras & Educ Presidente Prudente Fa, Presidente Prudente, SP, Brazil

[3] Univ Estadual Paulista UNESP, Dept Fis, Bauru, SP, Brazil

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 17期

基金：

巴西圣保罗研究基金会;

关键词：

TVD/CBC stability; High resolution schemes; Upwinding; Convection term discretization; Boundedness criteria; Shock-capturing; Conservation laws; Free surface flows; HYPERBOLIC CONSERVATION-LAWS; HIGH-RESOLUTION SCHEMES; ORDER CONVECTION SCHEMES; INCOMPRESSIBLE-FLOW; NUMERICAL-SIMULATION; TRANSPORT; DISCONTINUITIES; INTERPOLATION; ADVECTION; LIMITERS;

D O I：

10.1016/j.amc.2012.02.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the numerical solution of complex fluid dynamics problems using a new bounded high resolution upwind scheme (called SDPUS-C1 henceforth), for convection term discretization. The scheme is based on TVD and CBC stability criteria and is implemented in the context of the finite volume/difference methodologies, either into the CLAWPACK software package for compressible flows or in the Freeflow simulation system for incompressible viscous flows. The performance of the proposed upwind non-oscillatory scheme is demonstrated by solving two-dimensional compressible flow problems, such as shock wave propagation and two-dimensional/axisymmetric incompressible moving free surface flows. The numerical results demonstrate that this new cell-interface reconstruction technique works very well in several practical applications. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：8614 / 8633

页数：20

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