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The parallel Fourier pseudospectral method. (English) Zbl 0709.76105
Summary: Parallel algorithms of the Fourier pseudospectral method are presented for the solution of the unsteady, incompressible Navier-Stokes equations. The only major operation that requires parallelization is the multidimensional FFT. In tests performed on a 1024-node hypercube computer, an efficiency of about 83% is obtained for a three-dimensional problem with mesh size \(128^ 3\). The all-FORTRAN code requires 17s per timestep, rivalling rates obtained from optimized codes on current supercomputers.

MSC:
76M25 Other numerical methods (fluid mechanics) (MSC2010)
65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
65Y05 Parallel numerical computation
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