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A decomposed Crouzeix-Raviart element for the finite element solution of the Navier-Stokes equation (1991)

Bertrand, F. H. ; Hayes, R. E. ; Tanguy, P. A.

Chichester : Wiley-Blackwell

International Journal for Numerical Methods in Fluids 13 (1991), S. 1073-1083

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Details

ISSN: 0271-2091

Schlagwort(e): Crouzeix-Raviart ; Analytical integration ; Brezzi-Babuška condition ; Navier-Stokes ; Finite element method ; Engineering ; Engineering General

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Maschinenbau

Notizen: A methodology for the decomposition of the Crouzeix-Raviart finite element into six linear subelements is described. The resulting element is shown to satisfy the Brezzi-Babuška compatibility condition. The error bounds are also established. A comparison in accuracy between this and the standard Crouzeix-Raviart element is presented for driven cavity flows. Other results include the execution time for the DCR element and the Crouzeix-Raviart element along with both analytical and numerical integration. It is shown that the decomposed element results in shorter execution times with only marginal changes in accuracy.

Zusätzliches Material: 9 Ill.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1002/fld.1650130902

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