A second order characteristics finite element scheme for natural convection problems

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:235

Article

Benitez, M.¹  Bermudez, A.¹ 

[1] Univ Santiago de Compostela, Dept Matemat Aplicada, E-15782 Santiago De Compostela, Spain

关键词: Natural convection;    Finite elements methods;    Characteristics method;    Lagrange-Galerkin methods;   

DOI  :  10.1016/j.cam.2011.01.007

来源: Elsevier

【 摘 要 】

In this paper a second order characteristics finite element scheme is applied to the numerical solution of natural convection problems. Firstly, after recalling the mathematical model, a second order time discretization of the material time derivative is introduced. Next, fully discretized schemes are proposed by using finite element methods. Numerical results for the two-dimensional problem of buoyancy-driven flow in a square cavity with differentially heated side walls are given and compared with a reference solution. (C) 2011 Elsevier B.V. All rights reserved.

【 授权许可】

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