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Hybrid Methods in Engineering

Published 4 issues per year

ISSN Print: 1099-2391

ISSN Online: 2641-7359

A FINITE ELEMENT TAYLOR-GALERKIN SCHEME FOR THREE-DIMENSIONAL NUMERICAL SIMULATION OF HIGH COMPRESSIBLE FLOWS WITH ANALYTICAL EVALUATION OF ELEMENT MATRICES

Volume 2, Issue 4, 2000, 22 pages
DOI: 10.1615/HybMethEng.v2.i4.80
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ABSTRACT

An algorithm to simulate three-dimensional high compressible flows of viscous and nonviscous fluids is presented in this work. The time integration procedure was obtained from an expansion in Taylor series of the governing equations. Spatial discretization was carried out by using the finite element method based on the classical Bubnov-Galerkin technique. To obtain considerable improvements in CPU time and memory and take advantage of the fast vectorial processors in modern supercomputers, an analytical evaluation of element matrices was adopted to derive the corresponding expressions from the eight-node isoparametric brick element. Some practical examples are also presented to show the excellent computational performance and good agreement with results obtained previously by other authors.

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