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

R. A. Nicolaides; X. Wu

doi:10.1090/S0025-5718-96-00665-5

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

R. A. Nicolaides^*, X. Wu

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

59 Citations (Scopus)

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.

Original language	English
Pages (from-to)	29-44
Number of pages	16
Journal	Mathematics of Computation
Volume	65
Issue number	213
DOIs	https://doi.org/10.1090/S0025-5718-96-00665-5
Publication status	Published - Jan 1996

Scopus Subject Areas

Algebra and Number Theory
Computational Mathematics
Applied Mathematics

User-Defined Keywords

Covolume
MAC
Navier-Stokes

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10.1090/S0025-5718-96-00665-5

Cite this

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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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N2 - 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.

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

Abstract

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