Parallel simulation of fluid flow inside the rotating cylindrical container on the Intel Paragon

Author

Park, Jun-Cheol ; Lee, Kiseok

Author_Institution

Supercomput. Appl. Lab., Samsung Adv. Inst. of Technol., Suwon, South Korea

fYear

1997

fDate

28 Apr-2 May 1997

Firstpage

104

Lastpage

108

Abstract

The parallelization of Fourier spectral and Chebyshev collocation methods to the cylindrical form of the Navier-Stokes equations with one periodic and two nonperiodic directions has been implemented. The matrix diagonalization technique, which has been applied to solve the elliptic equations which occur in the implicit steps of the three-step time-splitting algorithm, enables one to parallelize only the matrix-matrix multiplication routines. The parallel matrix multiplication algorithms of Cannon and Fox have thus been explored and compared with each other in detail. A speedup of up to 3.7 has been obtained on the Intel Paragon parallel computer as compared with the CRAY Y-MP vector computer

Keywords

Chebyshev approximation; Fourier transform spectra; Navier-Stokes equations; digital simulation; elliptic equations; flow simulation; matrix multiplication; mechanical engineering computing; parallel algorithms; parallel programming; rotational flow; 3-step time-splitting algorithm; CRAY Y-MP vector computer; Cannon´s algorithm; Chebyshev collocation method; Fourier spectral method; Fox´s algorithm; Intel Paragon parallel computer; Navier-Stokes equations; elliptic equations; fluid flow; implicit steps; matrix diagonalization technique; matrix-matrix multiplication routines; nonperiodic directions; parallel simulation; parallelization; periodic direction; rotating cylindrical container; speedup; Automatic control; Chebyshev approximation; Computational modeling; Concurrent computing; Containers; Equations; Fluid flow; Geometry; Laboratories;

fLanguage

English

Publisher

ieee

Conference_Titel

High Performance Computing on the Information Superhighway, 1997. HPC Asia '97

Conference_Location

Seoul

Print_ISBN

0-8186-7901-8

Type

conf

DOI

10.1109/HPC.1997.592131

Filename

592131