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

In this paper a set of benchmark test cases for solid-body stress analysis and their solutions are presented. The results are obtained using nite-volume discretization and segregated solution procedure. Sets of progressively ner 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 re ned grids are used to estimate the solution error, which was found to be less than 1 per cent on the nest grids. In addition to graphical presentation of the solutions, tabular data for some characteristic pro les 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.