Application of PETSc in Soil-Water Coupled Geotechnical Problems

doi:10.1007/s12204-013-1409-y

Abstract

Abstract: In this paper, parallel library, portable extensible toolkit for scientific computation (PETSc), is used to solve linear systems in soil-water coupled finite element method (FEM) for geotechnical problems. The parallel environment is integrated into GLEAVES, which is a geotechnical software package used for the finite element simulation. The linear system Ax = b which is a fundamental and the most time-consuming part of the FEM is solved with iterative solvers in PETSc. In order to find a robust and effective combination of iterative solvers and corresponding preconditioners for the soil-water coupled problems, performance evaluations on Krylov subspace methods and four preconditioners are carried out. The results indicate that general minimal residual (GMRES) method coupled with preconditioners can provide an effective solution. The application to a construction project is presented to illustrate the potential of the proposed solution.

Key words: portable extensible toolkit for scientific computation (PETSc)| parallel computing| soil-water coupled| geotechnical problem

摘要： In this paper, parallel library, portable extensible toolkit for scientific computation (PETSc), is used to solve linear systems in soil-water coupled finite element method (FEM) for geotechnical problems. The parallel environment is integrated into GLEAVES, which is a geotechnical software package used for the finite element simulation. The linear system Ax = b which is a fundamental and the most time-consuming part of the FEM is solved with iterative solvers in PETSc. In order to find a robust and effective combination of iterative solvers and corresponding preconditioners for the soil-water coupled problems, performance evaluations on Krylov subspace methods and four preconditioners are carried out. The results indicate that general minimal residual (GMRES) method coupled with preconditioners can provide an effective solution. The application to a construction project is presented to illustrate the potential of the proposed solution.

关键词: portable extensible toolkit for scientific computation (PETSc)| parallel computing| soil-water coupled| geotechnical problem

CLC Number:

O246
TB115

DI Dong-chao (狄东超), YE Guan-lin (叶冠林), XIA Xiao-he (夏小和), WANG Jian-hua* (王建华). Application of PETSc in Soil-Water Coupled Geotechnical Problems[J]. Journal of shanghai Jiaotong University (Science), 2013, 18(4): 401-408.

References

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