Tetrahedral elements for fluid flow

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Abstract
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.

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