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BENCHMARK SOLUTIONS OF SOME STRUCTURAL ANALYSIS PROBLEMS USING FINITE-VOLUME METHOD AND MULTIGRID ACCELERATION

✍ Scribed by I. DEMIRDŽIĆ; S. MUZAFERIJA; M. PERIĆ


Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
334 KB
Volume
40
Category
Article
ISSN
0029-5981

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✦ Synopsis


In this paper a set of benchmark test cases for solid-body stress analysis and their solutions are presented. The results are obtained using ÿnite-volume discretization and segregated solution procedure. Sets of progressively ÿner grids are used in a full multigrid algorithm based on V cycles and a correction scheme, ensuring high computational e ciency. Solutions obtained on systematically reÿned grids are used to estimate the solution error, which was found to be less than 1 per cent on the ÿnest grids. In addition to graphical presentation of the solutions, tabular data for some characteristic proÿles is included to make future comparisons easier. Some details about the convergence properties of the method as well as an outline of the methodology are also presented. It is hoped that the test problems and the solutions presented in this paper will be used in the future for assessing the accuracy and e ciency of new solution methods for solid-body stress analysis.