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BENCHMARK SOLUTIONS OF SOME STRUCTURAL ANALYSIS PROBLEMS USING FINITE‐VOLUME METHOD AND MULTIGRID ACCELERATION
Author(s) -
DEMIRDŽIĆ I.,
MUZAFERIJA S.,
PERIĆ M.
Publication year - 1997
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19970530)40:10<1893::aid-nme146>3.0.co;2-l
Subject(s) - benchmark (surveying) , multigrid method , discretization , finite volume method , convergence (economics) , computer science , set (abstract data type) , volume (thermodynamics) , acceleration , mathematics , mathematical optimization , test case , algorithm , partial differential equation , mathematical analysis , mechanics , physics , geodesy , classical mechanics , machine learning , economic growth , economics , programming language , geography , regression analysis , quantum mechanics
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.