Domain decomposition and the compact fourth-order algorithm for the Navier-Stokes equations

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Original languageEnglish
Pages (from-to)79-96
Journal / PublicationJournal of Computational Physics
Issue number1
Publication statusPublished - Jan 1995
Externally publishedYes


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 Re2 · h4. Domain decomposition coupled with multiprocessing was investigated as a method for acceleration of computations. It is shown that the acceleration approaches the theoretical maximum. © 1995 by Academic Press, Inc.

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