Parallel Computational Fluid Dynamics 1996

Parallel Computational Fluid Dynamics 1996

Algorithms and Results Using Advanced Computers
1997, Pages 212-219
Parallel Computational Fluid Dynamics 1996

- Implementation of parallel rotated IMEX method for incompressible n-s equations on hitachi SR series computers

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Publisher Summary

A fast elliptic equation solver based on rotated finite-difference discretizations is combined with the second-order implicit-explicit (IMEX) methods for solving the incompressible Navier-Stokes equations. In the last decade, many efforts have been made for implementing existing numerical schemes on parallel computers to obtain more computational capability by parallelization. Hardware scalability enables machines of increasingly higher performance to be constructed without significant breakthroughs in computer technology. To exploit the full potential of these parallel machines, algorithms should adapt to these architectural features. Usually, the nonlinear advection term is discretized explicitly, while the viscous term is discretized implicitly. Iterative methods are generally used for the solution of the Poisson equation. The successive over relaxation (SOR) method is one of the most popular iterative methods to solve the Poisson equation and a number of modifications. The group explicit iterative (GEl) method serves not only to improve the convergence rate, but also to reduce the computational cost. The method is easily adapted to the architecture of recent advanced computers using vector and/or parallel processing.

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