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Parallel mesh generator for biomechanical purpose

Hausa H., Nowak M.

Journal of Theoretical and Applied Mechanics

2014

Vol. 52 nr 1

71--80

The analysis of a biological structure with numerical methods based on engineering approach (i.e. Computational Solid Mechanics) is becoming more and more popular nowadays. The examination of complex, well reproduced biological structures (i.e. bone) is impossible to perform with a single workstation. The mesh for Finite Element Method (FEM) of the order of 106 is required for modeling a small piece of trabecular bone. The homogenization techniques could be used to solve this problem, but these methods require several assumptions and simplifications. Hence, effective analysis of a biological structure in a parallel environment is desirable. The software for structure simulation at cluster architecture are available; however, FEM generator is still inaccessible in that environment. The mesh generator for biological applications – Cosmoprojector – developed at Division of Virtual Engineering, Poznan University of Technology has been adapted for the parallel environment. The preliminary results of complex structure generation confirm the correctness of the proposed method. In this paper, the algorithm of computational mesh generation in a parallel environment has been presented. The proposed system has been tested at biological structure.

Wykrywanie modyfikacji kształtu brył z wykorzystaniem algorytmów grafowych

Mikoda J.

Metody Informatyki Stosowanej

2011

nr 2

89-95

This article presents new method for improving efficiency of applications used for fulfilling given shape with tetrahedral elements. The new approach involves searching for areas in which the shape has changed, and regeneration of mesh elements only in those areas. This operation requires using of fast algorithm for comparision of two independent areas. As a result of comparison a set of areas that should be modified is obtained. Description based on graph was used to describe areas shape while searching for modified areas. Using graphs built on the basis of original and modified shape description allows for using graph algorithms. Using algorithms designed for graph searching and dividing subgraphs made it possible to make faster and simplify process of searching for modified areas.