Paper Info
Title
A Stabilized Mixed Formulation For Unsteady Brinkman Equation Based On The Method Of Horizontal Lines
Abstract
In this paper, we present a stabilized mixed formulation for unsteady Brinkman equation. The formulation is systematically derived based on the variational multiscale formalism and the method of horizontal lines. The derivation does not need the assumption that the fine-scale variables do not depend on the time, which is the case with the conventional derivation of multiscale stabilized formulations for transient mixed problems. An expression for the stabilization parameter is obtained in terms of a bubble function, and appropriate bubble functions for various finite elements are also presented. Under the proposed formulation, equal-order interpolation for the velocity and pressure (which is computationally the most convenient) is stable. Representative numerical results are presented to illustrate the performance of the proposed formulation. Spatial and temporal convergence studies are also performed, and the proposed formulation performed well. Copyright (c) 2011 John Wiley & Sons, Ltd.
Year
DOI
Venue
2010
10.1002/fld.2544
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
Keywords
DocType
Volume
unsteady Brinkman equation, unsteady Darcy equation, unsteady Stokes equation, stabilized mixed formulations, Rothe method, method of horizontal lines, multiscale formulations
Journal
68
Issue
ISSN
Citations 
5
0271-2091
0
PageRank 
References 
Authors
0.34
2
2
Name
Order
Citations
PageRank
S. Srinivasan122.40
K. B. Nakshatrala27816.70