Title
A sharp-interface immersed boundary method with improved mass conservation and reduced spurious pressure oscillations
Abstract
A method for reducing the spurious pressure oscillations observed when simulating moving boundary flow problems with sharp-interface immersed boundary methods (IBMs) is proposed. By first identifying the primary cause of these oscillations to be the violation of the geometric conservation law near the immersed boundary, we adopt a cut-cell based approach to strictly enforce geometric conservation. In order to limit the complexity associated with the cut-cell method, the cut-cell based discretization is limited only to the pressure Poisson and velocity correction equations in the fractional-step method and the small-cell problem tackled by introducing a virtual cell-merging technique. The method is shown to retain all the desirable properties of the original finite-difference based IBM while at the same time, reducing pressure oscillations for moving boundaries by roughly an order of magnitude.
Year
DOI
Venue
2011
10.1016/j.jcp.2011.06.003
J. Comput. Physics
Keywords
Field
DocType
immersed boundary method,finite difference,conservation law,oscillations,mass conservation
Boundary knot method,Immersed boundary method,Discretization,Mathematical optimization,Mathematical analysis,Flow (psychology),Singular boundary method,Spurious relationship,Conservation law,Conservation of mass,Mathematics
Journal
Volume
Issue
ISSN
230
19
0021-9991
Citations 
PageRank 
References 
36
1.70
11
Authors
2
Name
Order
Citations
PageRank
Jung Hee Seo1605.57
Rajat Mittal217017.59