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工程中的混合方法

ISSN 打印: 1099-2391
ISSN 在线: 2641-7359

Archives: Volume 1, 1999 to Volume 4, 2002

工程中的混合方法

DOI: 10.1615/HybMethEng.v2.i4.80
22 pages

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

Horacio P. Burbridge
Postgraduate Program in Civil Engineering, Universidade Federal do Rio Grande do Sul. Av. Osvaldo Aranha, 99-3°Andar. 90035-190 Porto Alegro-RS-Brazil
Armando M. Awruch
Graduate Program in Civil Engineering (PPGEC), Federal University of Rio Grande do Sul (UFRGS) 99 Osvaldo Aranha Ave. 3rd floor, 90035-190, Porto Alegre, RS, Brazil

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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