A projection hybrid high order finite volume/finite element method for incompressible turbulent flows

JOURNAL OF COMPUTATIONAL PHYSICS

卷:353

Article

Busto, S.¹  Ferrin, J. L.^1,2,3  Toro, E. F.⁴  Vazquez-Cendon, M. E.^1,2,3 

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

[2] ITMATI, Campus Sur, ES-15782 Santiago De Compostela, Spain

[3] Fac Matemat, Inst Matemat, Campus Sur, ES-15782 Santiago De Compostela, Spain

[4] Univ Trento, DICAM, Lab Appl Math, IT-38100 Trento, Italy

关键词: Incompressible flows;    k-epsilon model;    Species transport;    Projection method;    Finite volume method;    LADER;    Finite element method;   

DOI  :  10.1016/j.jcp.2017.10.004

来源: Elsevier

【 摘 要 】

In this paper the projection hybrid FV/FE method presented in [1] is extended to account for species transport equations. Furthermore, turbulent regimes are also considered thanks to the k-emodel. Regarding the transport diffusion stage new schemes of high order of accuracy are developed. The CVC Kolgan-type scheme and ADER methodology are extended to 3D. The latter is modified in order to profit from the dual mesh employed by the projection algorithm and the derivatives involved in the diffusion term are discretized using a Galerkin approach. The accuracy and stability analysis of the new method are carried out for the advection-diffusion-reaction equation. Within the projection stage the pressure correction is computed by a piecewise linear finite element method. Numerical results are presented, aimed at verifying the formal order of accuracy of the scheme and to assess the performance of the method on several realistic test problems. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

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