Analysis and convergence of the MAC scheme. II. Navier-Stokes equations-Reference-Cited by-同舟云学术

Analysis and convergence of the MAC scheme. II. Navier-Stokes equations

Published:1996 Issue:213 Volume:65 Page:29-44
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Nicolaides R.,Wu X.

Abstract

The MAC discretization scheme for the incompressible Navier-Stokes equations is interpreted as a covolume approximation to the equations. Using some results from earlier papers dealing with covolume error estimates for div-curl equation systems, and under certain conditions on the data and the solutions of the Navier-Stokes equations, we obtain first-order error estimates for both the vorticity and the pressure.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1996-65-213/S0025-5718-96-00665-5/S0025-5718-96-00665-5.pdf

Reference7 articles.

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3. R. A. Nicolaides, Flow discretization by complementary volume techniques, AIAA Paper 89-1978, Proc. 9th AIAA meeting, Buffalo, New York, June, 1989.

4. Analysis and convergence of the MAC scheme. I. The linear problem;Nicolaides, R. A.;SIAM J. Numer. Anal.,1992

5. Direct discretization of planar div-curl problems;Nicolaides, R. A.;SIAM J. Numer. Anal.,1992

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