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

Authors: R. A. Nicolaides and X. Wu
Journal: Math. Comp. 65 (1996), 29-44
MSC (1991): Primary 76M25, 76D05, 65N12
MathSciNet review: 1320897
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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.

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Additional Information

R. A. Nicolaides
Affiliation: Department of Mathematics, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213

X. Wu
Affiliation: Department of Mathematics, Hong Kong Baptist University, Kowloon, Hong Kong
Address at time of publication: Department of Mathematics, Hong Kong Baptist University, Kowloon, Hong Kong

Keywords: Covolume, MAC, Navier-Stokes
Received by editor(s): October 25, 1991
Received by editor(s) in revised form: December 2, 1993
Additional Notes: This work was supported by the United States Air Force under grant AFOSR 90-0359
Article copyright: © Copyright 1996 American Mathematical Society