Analysis and convergence of the MAC scheme. II. Navier-Stokes equations
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- by R. A. Nicolaides and X. Wu PDF
- Math. Comp. 65 (1996), 29-44 Request permission
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.References
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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
- Email: xwu@hkbu.edu.hk
- 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
- © Copyright 1996 American Mathematical Society
- Journal: Math. Comp. 65 (1996), 29-44
- MSC (1991): Primary 76M25, 76D05, 65N12
- DOI: https://doi.org/10.1090/S0025-5718-96-00665-5
- MathSciNet review: 1320897