ON THE QUESTION OF COMPUTATIONAL GRID GENERATION WHEN SOLVING GEOMECHANICS PROBLEMS USING THE FINITE ELEMENT METHOD
Keywords:
finite element method, geomechanics, computational mesh, tetrahedral element, preprocessor, 3D modelingAbstract
This article examines the specifics and algorithmic challenges of generating discrete computational meshes from triangular and tetrahedral elements when modeling geomechanical processes using the finite element method. The authors analyze the key requirements for the quality of spatial domain partitioning, including cell densification in stress concentration zones and the prevention of highly elongated elements. The authors demonstrate the high efficiency of integrating open-source software packages and libraries that function as external preprocessors and postprocessors into native computational modules.
References
1. Зенкевич О. Метод конечных элементов в технике. – М.: Мир, 1975. – 395 с.
2. Фадеев А.В. Метод конечных элементов в геомеханике. – М.: Недра, 1987. – 224 с. 3. Jim Ruppert: A Delaunay Refinement Algorithm for Quality 2-Dimentional Mesh Generation, NASA Ames Research Center, Submission to Journal of Algorithms,1 1994.
3. Ivanov E.G. Automatic Parallel Generation of Three-Dimensional Unstructured Grids for Computational Mechanics // Вычислительные технологии. – 2006. – Т.11. – № 1. – С. 3-17.
5. Усманов С.Ф. Прогнозирование устойчивости бортов высокогорных карьеров на основе моделирования напряженно-деформированного состояния. – Бишкек: КРСУ, 2009. – 172 с.
6. C. Geuzaine and J.-F. Remacle. Gmsh: a three-dimensional finite element mesh generator with built-in pre- and post-processing facilities. International Journal for Numerical Methods in Engineering, Volume 79, Issue 11, pages 1309-1331,2 2009.
