PSEUDOSPECTRAL-FINITE DIFFERENCE METHOD FORTHREE-DIMENSIONAL VORTICITY EQUATION WITHUNILATERALLY PERIODIC BOUNDARY CONDITION

Applied Mathematics and Mechanics (English Edition) ›› 1994, Vol. 15 ›› Issue (7): 627-647.

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PSEUDOSPECTRAL-FINITE DIFFERENCE METHOD FORTHREE-DIMENSIONAL VORTICITY EQUATION WITHUNILATERALLY PERIODIC BOUNDARY CONDITION

Xiong Yue-shan, Guo Ben-yu

Shanghai University of Science and Technology, Shanghai

Received:1993-12-03 Online:1994-07-18 Published:1994-07-18

Abstract

Abstract: A Fourier pseudospectral-finue difference scheme is proposed for three-dimensional vorticity. equalion with unilalerally periodic boundary. condilion. Thegeneralized stability. and conrergence are analyzed. The nunierical results show. theadvantage of this method.

Key words: linear complementary problem, complementary basic feasiblesolution, existence, Lemke’s complementary pivoting algorithm, three-dimensional vorticity equation, unilaterally periodicboundary condition, pseutiospectral-difference scheme

Xiong Yue-shan;Guo Ben-yu. PSEUDOSPECTRAL-FINITE DIFFERENCE METHOD FORTHREE-DIMENSIONAL VORTICITY EQUATION WITHUNILATERALLY PERIODIC BOUNDARY CONDITION. Applied Mathematics and Mechanics (English Edition), 1994, 15(7): 627-647.

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PSEUDOSPECTRAL-FINITE DIFFERENCE METHOD FORTHREE-DIMENSIONAL VORTICITY EQUATION WITHUNILATERALLY PERIODIC BOUNDARY CONDITION

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