ISSN:
0029-5981
Keywords:
finite-volume stress analysis
;
multigrid
;
Engineering
;
Numerical Methods and Modeling
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mathematics
,
Technology
Notes:
In this paper a set of benchmark test cases for solid-body stress analysis and their solutions are presented. The results are obtained using finite-volume discretization and segregated solution procedure. Sets of progressively finer grids are used in a full multigrid algorithm based on V cycles and a correction scheme, ensuring high computational efficiency. Solutions obtained on systematically refined grids are used to estimate the solution error, which was found to be less than 1 per cent on the finest grids. In addition to graphical presentation of the solutions, tabular data for some characteristic profiles 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 efficiency of new solution methods for solid-body stress analysis. © 1997 by John Wiley & Sons, Ltd.
Additional Material:
16 Ill.
Type of Medium:
Electronic Resource
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