Abstract
The parallelization of 2D/3D software SAPTIS is discussed for nonlinear analysis of complex structures. A comparative study is made on different parallel solvers. The numerical models are presented, including hydration models, water cooling models, modulus models, creep model, and autogenous deformation models. A finite element simulation is made for the whole process of excavation and pouring of dams using these models. The numerical results show a good agreement with the measured ones. To achieve a better computing efficiency, four parallel solvers utilizing parallelization techniques are employed: (1) a parallel preconditioned conjugate gradient (PCG) solver based on OpenMP, (2) a parallel preconditioned Krylov subspace solver based on MPI, (3) a parallel sparse equation solver based on OpenMP, and (4) a parallel GPU equation solver. The parallel solvers run either in a shared memory environment OpenMP or in a distributed memory environment MPI. A comparative study on these parallel solvers is made, and the results show that the parallelization makes SAPTIS more efficient, powerful, and adaptable.
Highlights
Complex structures are largely employed in engineering practice in a variety of situations and applications, for example, water resources and hydropower engineering, mining engineering, and traffic engineering
The parallelization procedures for the preconditioned Krylov subspace (PKS) solver can be summarized as follows: (i) the global FEA equations are assembled; (ii) the “divide and conquer” strategy is employed to divide the FEA domain into sub-domains; (iii) local equations are formed based on sub-domains; Air and radiation
The sparse equation solver is parallelized in CSR matrix format, which supports several types of matrices including real/imaginary matrices and symmetric/asymmetric matrices
Summary
Complex structures are largely employed in engineering practice in a variety of situations and applications, for example, water resources and hydropower engineering, mining engineering, and traffic engineering. An analysis of such structures is not possible by empirical methods, and in situ experimental studies are costly. Most authors consider the effect of creep [4,5,6,7,8], while others consider cracking [9,10,11,12], with regard to nonlinear analysis of structures. A parallel GPU equation solver is introduced into SAPTIS as well In these respects, we should be able to model more complex effects like hydration, water cooling, cracking, creep, autogenous deformation, and so forth
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