Abstract | ||
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This paper gives a comprehensive numerical analysis of a multiscale method for equilibrium Navier Stokes equations. The method includes pressure regularization and eddy viscosity stabilizations both acting only on the finest scales. This method allows for equal order velocity-pressure spaces as well as the linear constant pair and the usual (Pk, Pk-1) pair. We show the method is optimal in a natural energy norm for all of these pairs of spaces, and provide guidance in choosing the regularization parameters. |
Year | DOI | Venue |
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2006 | 10.1016/j.amc.2005.10.030 | Applied Mathematics and Computation |
Keywords | Field | DocType |
multiscale v-p discretization,eddy viscosity stabilization,multiscale,equal order velocity-pressure space,pressure regularization,regularization parameter,multiscale method,equilibrium navier stokes equation,subgrid eddy viscosity,navier stokes,flow problem,natural energy norm,finest scale,equal order interpolations,linear constant pair,comprehensive numerical analysis,numerical analysis | Discretization,Mathematical analysis,Flow (psychology),Turbulence modeling,Regularization (mathematics),Numerical approximation,Numerical analysis,Numerical linear algebra,Mathematics,Navier–Stokes equations | Journal |
Volume | Issue | ISSN |
177 | 1 | Applied Mathematics and Computation |
Citations | PageRank | References |
1 | 0.42 | 1 |
Authors | ||
1 |
Name | Order | Citations | PageRank |
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Leo G. Rebholz | 1 | 141 | 24.08 |