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PSEUDOSPECTRAL SOLUTION OF THE TWO-DIMENSIONAL NAVIER{STOKES EQUATIONS IN A DISK

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Please use this identifier to cite or link to this item: http://hdl.handle.net/1928/20181

PSEUDOSPECTRAL SOLUTION OF THE TWO-DIMENSIONAL NAVIER{STOKES EQUATIONS IN A DISK

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Title: PSEUDOSPECTRAL SOLUTION OF THE TWO-DIMENSIONAL NAVIER{STOKES EQUATIONS IN A DISK
Author: Coutsias, Evangelos A.; Torres, David J.
Subject(s): spectral methods
coordinate singularity
parallel
Abstract: An efficient and accurate algorithm for solving the two-dimensional (2D) incompressible Navier-Stokes equations on a disk with no-slip boundary conditions is described. The vorticity stream function formulation of these equations is used, and spatially the vorticity and stream functions are expressed as Fourier-Chebyshev expansions. The Poisson and Helmholtz equations which arise from the implicit-explicit time marching scheme are solved as banded systems using a postconditioned spectral tau-method. The polar coordinate singularity is handled by expanding fields radially over the entire diameter using a parity modified Chebyshev series and building partial regularity into the vorticity. The no-slip boundary condition is enforced by transferring one of the two boundary conditions imposed on the stream function onto the vorticity via a solvability constraint. Significant gains in run times were realized by parallelizing the code in message passage interface (MPI).
Date: 1999
Publisher: Society for Industrial and Applied Mathematics
Citation: SIAM Journal on Scientific Computing, 21(1): 378-403
Description: AMS subject classifcations. 76D05, 35Q30, 65M70, 65N35 PII. S1064827597330157
URI: http://hdl.handle.net/1928/20181
ISSN: 1064-8275

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