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2D pseudo-spectral parallel Navier-Stokes simulations of compressible Rayleigh-Taylor instability. (English) Zbl 1059.76053
Summary: A 2D Fourier-Chebyshev pseudo-spectral numerical method for full Navier-Stokes equations with a dynamical domain decomposition technique has been parallelized on a SPMD machine, a CRAY-T3E. The parallelism is based on the distribution of data among processors and on simultaneous computations on each subdomain. The SHMEM paradigm is used for communication between processors. Comparisons between vectorial and parallel versions of spectral derivatives with Fourier and Chebyshev expansions are presented. Performances versus the number of processors and collocation points are also studied. The numerical code is then used to simulate single and multimode Rayleigh-Taylor flows. The influence of the physical diffusion between species is emphasized on a single mode configuration. A simulation with 22 initial perturbation modes is also carried out and analyzed.

MSC:
76M22 Spectral methods applied to problems in fluid mechanics
76E17 Interfacial stability and instability in hydrodynamic stability
76N15 Gas dynamics (general theory)
65Y05 Parallel numerical computation
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