An analysis of a covolume method for the stationary navier-stokes equations

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We introduce a covolume method for approximating the stationary Navier- Stokes equations and analyze the convergence of the covolume approximation. The covolume method uses the primal and dual partitions. The velocity is approximated using nonconforming piecewise linear functions and the pressure piecewise constants. We use an abstract theory to the study of the convergence of the covolume method for the Navier-Stokes equations, which is based on the results of approximation for branches of nonsingular solutions of nonlinear problems presented in [10]. Numerical results using a simple Picard type of iteration for solving the discrete Navier-Stokes equations are provided. © 2009 Academic Publications.
Publisher
Academic Publication Council
Issue Date
2009
Language
English
Citation

INTERNATIONAL JOURNAL OF PURE AND APPLIED MATHEMATICS, v.52, no.3, pp.339 - 353

ISSN
1311-8080
URI
http://hdl.handle.net/10203/93828
Appears in Collection
MA-Journal Papers(저널논문)
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