Title
A multiscale V-P discretization for flow problems
Abstract
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
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
Leo G. Rebholz114124.08