Parallel Computational Fluid Dynamics 1997

Parallel Computational Fluid Dynamics 1997

Recent Developments and Advances Using Parallel Computers
1998, Pages 447-454
Parallel Computational Fluid Dynamics 1997

- Parallel performance of domain decomposition based transport*

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This chapter presents a model for the parallel performance of a transport code. The model was used to investigate the scalability properties. Some predictive statements are put forward in the chapter. In the case of a linear growing problem size the prediction turns out to present an upper bound and further research is needed to reveal the cause. In this research, a closer relation between theory and practice has been established by determining the unknown coefficients in our formulas experimentally. Transport phenomena play an important role in reservoir and environmental engineering. From the application viewpoint, there is a need to resolve large scale computational models with fine grids. A 2D advection-diffusion equation is studied to reveal some basic properties of the approach. The discretization is done with cell-centered triangular finite volumes and the trapezoidal time integration scheme. Krylov–Schwarz domain decomposition in combination with preconditioned Bi-CGSTAB is employed for the numerical solution of the large nonsymmetrical systems. The Krylov–Schwarz domain decomposition method provides coarse-grained parallelism. Along with Krylov–Schwarz domain decomposition, for advection-diffusion, the chapter presents a parallel performance model and the work out for the case of a square domain takes place in some detail.

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The research was supported by the Dutch Ministery of Economic Affairs

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