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Domain Decomposition and the Compact Fourth-Order Algorithm for the Navier-Stokes Equations

✍ Scribed by J. Rokicki; J.M. Floryan

Publisher: Elsevier Science
Year: 1995
Tongue: English
Weight: 854 KB
Volume: 116
Category: Article
ISSN: 0021-9991
DOI: 10.1006/jcph.1995.1007

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✦ Synopsis

We consider a fourth-order, compact finite-difference method for the Navier-Stokes equations using the streamfunction-vorticity formulation. Various algebraic boundary formulas for vorticity are investigated including new implicit formulas of the third and fourth order. An algorithm for determination of pressure from a suitable Poisson equation is given. Results of various tests show that the error of the algorithm is proportional to (\mathrm{Re}^{2} \cdot h^{4}). Domain decomposition coupled with multiprocessing was investigated as a method for acceleration of computations. It is shown that the acceleration approaches the theoretical maximum. (0) 1995 Academic Press, Inc.

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