A bounded upwinding scheme for computing convection-dominated transport problems

被引：30

作者：

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

de Queiroz, R. A. B. ^{[1
]}

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

Cuenca, R. G. ^{[1
]}

Oishi, C. M. ^{[2
]}

Azevedo, J. L. F. ^{[3
]}

McKee, S. ^{[4
]}

机构：

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

[2] Univ Estadual Julio de Mesquita Filho UNESP, Dept Matemat, Presidente Prudente, SP, Brazil

[3] CTA IAE ALA, Inst Aeronaut & Espaco, Sao Jose Dos Campos, SP, Brazil

[4] Univ Strathclyde, Dept Math & Stat, Glasgow, Lanark, Scotland

来源：

COMPUTERS & FLUIDS | 2012年 / 57卷

基金：

巴西圣保罗研究基金会;

关键词：

Numerical simulation; CBC/TVD stability; High resolution; Upwinding; Monotonic interpolation; Finite difference; Convection modeling; Boundedness; CONSERVATIVE DIFFERENCE SCHEME; NAVIER-STOKES EQUATIONS; HIGH-RESOLUTION SCHEMES; FINITE-VOLUME METHODS; BACKWARD-FACING STEP; HIGH-ORDER; EULER EQUATIONS; EFFICIENT IMPLEMENTATION; INCOMPRESSIBLE FLOWS; DIFFUSION PROBLEMS;

D O I：

10.1016/j.compfluid.2011.12.021

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A practical high resolution upwind differencing scheme for the numerical solution of convection-dominated transport problems is presented. The scheme is based on TVD and CBC stability criteria and is implemented in the context of the finite difference methodology. The performance of the scheme is investigated by solving the 1D/2D scalar advection equations, 1D inviscid Burgers' equation, 1D scalar convection-diffusion equation, 1D/2D compressible Euler's equations, and 2D incompressible Navier-Stokes equations. The numerical results displayed good agreement with other existing numerical and experimental data. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：208 / 224

页数：17

共 84 条

[1]

AGARD Subcommittee C, 1985, AGARD ADVISORY REPOR, P6

[2]

Ahmed R, 2004, THESIS U READING

[3] Effect of a high-resolution differencing scheme on finite-volume predictions of viscoelastic flows [J].

Alves, MA ;

Pinho, FT ;

Oliveira, PJ .

JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, 2000, 93 (2-3) :287-314

[4] A convergent and universally bounded interpolation scheme for the treatment of advection [J].

Alves, MA ;

Oliveira, PJ ;

Pinho, FT .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2003, 41 (01) :47-75

[5]

[Anonymous], 2002, Cambridge Texts in Applied Mathematics, DOI [10.1017/CBO9780511791253, DOI 10.1017/CBO9780511791253]

[6] EXPERIMENTAL AND THEORETICAL INVESTIGATION OF BACKWARD-FACING STEP FLOW [J].

ARMALY, BF ;

DURST, F ;

PEREIRA, JCF ;

SCHONUNG, B .

JOURNAL OF FLUID MECHANICS, 1983, 127 (FEB) :473-496

[7] A well-behaved TVD limiter for high-resolution calculations of unsteady flow [J].

Arora, M ;

Roe, PL .

JOURNAL OF COMPUTATIONAL PHYSICS, 1997, 132 (01) :3-11

[8] Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy [J].

Balsara, DS ;

Shu, CW .

JOURNAL OF COMPUTATIONAL PHYSICS, 2000, 160 (02) :405-452

[9]

Barth T. J., 1989, 27 AIAA AER SCI M RE

[10]

Berthon C, 2005, COMMUN MATH SCI, V3, P133

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