Tetrahedral elements for fluid flow

Tetrahedral elements for fluid flow
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DOI:
10.1002/nme.1620330610
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发表时间:
1992-04
影响因子:
2.9
通讯作者:
F. Bertrand;M. Gadbois;P. Tanguy
F. Bertrand;M. Gadbois;P. Tanguy
中科院分区:
工程技术3区
文献类型:
--
作者:
F. Bertrand;M. Gadbois;P. Tanguy

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测试了几种新旧四面体单元,并与一些经典的六面体单元进行了比较,以解决三维不可压缩流体流动问题。所提出的单元是通过在基本三线速度、恒压四面体上添加速度自由度来创建的,以满足 Brezzi 条件。针对人工无发散流动问题和雷诺数高达 400 的盖驱动立方腔进行的数值测试用于比较所提出的元件并评估其准确性。
Several old and new tetrahedral elements are tested and compared to some classical hexahedral elements for the solution of three‐dimensional incompressible fluid flow problems. The proposed elements are created by adding velocity degrees of freedom to the basic trilinear velocity, constant pressure tetrahedron so as to satisfy the Brezzi condition. Numerical tests carried out for an artificial divergence‐free flow problem and the lid‐driven cubic cavity up to a Reynolds number of 400 are used to compare the proposed elements and assess their accuracy.