dorsal/arxiv
View SchemaA new parallel strategy for two-dimensional incompressible flow simulations using pseudo-spectral methods
| Authors | Z. Yin, Li Yuan, Tao Tang |
|---|---|
| Categories | |
| ArXiv ID | physics/0411144 |
| URL | https://arxiv.org/abs/physics/0411144 |
| DOI | 10.1016/j.jcp.2005.04.010 |
Abstract
A novel parallel technique for Fourier-Galerkin pseudo-spectral methods with applications to two-dimensional Navier-Stokes equations and inviscid Boussinesq approximation equations is presented. It takes the advantage of the programming structure of the phase-shift de-aliased scheme for pseudo-spectral codes, and combines the task-distribution strategy [Yin, Clercx and Montgomery, Comput. Fluids, 33, 509 (2004)] and parallelized Fast Fourier Transform scheme. The performances of the resulting MPI Fortran90 codes with the new procedure on SGI 3800 are reported. For fixed resolution of the same problem, the peak speed of the new scheme can be twice as fast as the old parallel methods. The parallelized codes are used to solve some challenging numerical problems governed by the Navier-Stokes equations and the Boussinesq equations. Two interesting physical problems, namely, the double-valued $\omega$-$\psi $ structure in two-dimensional decaying turbulence and the collapse of the bubble cap in the Boussinesq simulation, are solved by using the proposed parallel algorithms.
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"abstract": "A novel parallel technique for Fourier-Galerkin pseudo-spectral methods with\napplications to two-dimensional Navier-Stokes equations and inviscid Boussinesq\napproximation equations is presented. It takes the advantage of the programming\nstructure of the phase-shift de-aliased scheme for pseudo-spectral codes, and\ncombines the task-distribution strategy [Yin, Clercx and Montgomery, Comput.\nFluids, 33, 509 (2004)] and parallelized Fast Fourier Transform scheme. The\nperformances of the resulting MPI Fortran90 codes with the new procedure on SGI\n3800 are reported. For fixed resolution of the same problem, the peak speed of\nthe new scheme can be twice as fast as the old parallel methods. The\nparallelized codes are used to solve some challenging numerical problems\ngoverned by the Navier-Stokes equations and the Boussinesq equations. Two\ninteresting physical problems, namely, the double-valued $\\omega$-$\\psi $\nstructure in two-dimensional decaying turbulence and the collapse of the bubble\ncap in the Boussinesq simulation, are solved by using the proposed parallel\nalgorithms.",
"arxiv_id": "physics/0411144",
"authors": [
"Z. Yin",
"Li Yuan",
"Tao Tang"
],
"categories": [
"physics.comp-ph",
"physics.flu-dyn",
"physics.geo-ph",
"physics.plasm-ph"
],
"doi": "10.1016/j.jcp.2005.04.010",
"title": "A new parallel strategy for two-dimensional incompressible flow simulations using pseudo-spectral methods",
"url": "https://arxiv.org/abs/physics/0411144"
},
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