A sixth-order finite volume method for multidomain convection-diffusion problem with discontinuous coefficients

被引：36

作者：

Clain, S. ^{[1
,3
]}

Machado, G. J. ^{[1
]}

Nobrega, J. M. ^{[2
]}

Pereira, R. M. S. ^{[1
]}

机构：

[1] Univ Minho, Ctr Math, P-4080058 Guimaraes, Portugal

[2] Univ Minho, Inst Polymers & Composites 13N, P-4080058 Guimaraes, Portugal

[3] Univ Toulouse 3, Inst Math Toulouse, F-31062 Toulouse, France

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2013年 / 267卷

关键词：

Finite volume; High-order; Convection-diffusion; Polynomial reconstruction; Heat transfer; Discontinuous coefficients; CONVERGENCE; SCHEME; APPROXIMATION; PROFILES;

D O I：

10.1016/j.cma.2013.08.003

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A sixth-order finite volume method is proposed to solve the bidimensional linear steady-state convection-diffusion equation. A new class of polynomial reconstructions is proposed to provide accurate fluxes for the convective and the diffusive operators. The method is also designed to compute accurate approximations even with discontinuous diffusion coefficient or velocity and remains robust for large Peclet numbers. Discontinuous solutions deriving from the linear heat transfer Newton law are also considered where a decomposition domain technique is applied to maintain an effective sixth-order approximation. Numerical tests covering a large panel of situations are addressed to assess the performances of the method. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：43 / 64

页数：22

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