A FINITE-VOLUME PROCEDURE TO SOLVE ELASTIC SOLID MECHANICS PROBLEMS IN 3-DIMENSIONS ON AN UNSTRUCTURED MESH

被引：110

作者：

BAILEY, C

CROSS, M

机构：

[1] Centre for Numerical Modelling and Process Analysis. University of Greenwich, London, Wellington St, Woolwich

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 1995年 / 38卷 / 10期

关键词：

FINITE VOLUME; FINITE ELEMENT; ELASTICITY;

D O I：

10.1002/nme.1620381010

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A Finite Volume (FV) procedure is described for solving the elastic solid mechanics equations in three dimensions on an unstructured mesh, for bodies undergoing thermal or mechanical loads. The, FV procedure is developed in parallel with the conventional FE Galerkin procedure so that the differences in each approach may be clearly distinguished. The matrix form of the FV procedure is described, and is implemented in parallel with the FE procedure, both for two-dimensional quadrilateral and three-dimensional brick meshes. The FV and FE procedures are then compared against a range of benchmark problems that test the basic capability of the FV technique. It is shown to be approximately as accurate: as the FE procedure on similar meshes, though its system matrix set-up time is twice as long for a node by node set-up procedure.

引用

页码：1757 / 1776

页数：20

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