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2013 Study on the Convective Term Discretized by Strong Conservation and Weak Conservation Schemes for Incompressible Fluid Flow and Heat Transfer
Peng Wang, Bo Yu, Jianyu Xie, Yu Zhao, Jingfa Li, Qianqian Shao
J. Appl. Math. 2013(SI14): 1-10 (2013). DOI: 10.1155/2013/630517

Abstract

When the conservative governing equation of incompressible fluid flow and heat transfer is discretized by the finite volume method, there are various schemes to deal with the convective term. In this paper, studies on the convective term discretized by two different schemes, named strong and weak conservation schemes, respectively, are presented in detail. With weak conservation scheme, the convective flux at interface is obtained by respective interpolation and subsequent product of primitive variables. With strong conservation scheme, the convective flux is treated as single physical variable for interpolation. The numerical results of two convection heat transfer cases indicate that under the same computation conditions, discretizing the convective term by strong conservation scheme would not only obtain a more accurate solution, but also guarantee the stability of computation and the clear physical meaning of the solution. Especially in the computation regions with sharp gradients, the advantages of strong conservation scheme become more apparent.

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Peng Wang. Bo Yu. Jianyu Xie. Yu Zhao. Jingfa Li. Qianqian Shao. "Study on the Convective Term Discretized by Strong Conservation and Weak Conservation Schemes for Incompressible Fluid Flow and Heat Transfer." J. Appl. Math. 2013 (SI14) 1 - 10, 2013. https://doi.org/10.1155/2013/630517

Information

Published: 2013
First available in Project Euclid: 7 May 2014

MathSciNet: MR3100830
Digital Object Identifier: 10.1155/2013/630517

Rights: Copyright © 2013 Hindawi

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Vol.2013 • No. SI14 • 2013
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