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Fictitious domain method with penalty for an incompressible fluid
Author(s) -
Zhu Jingtao,
Ma Yichen
Publication year - 2010
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20438
Subject(s) - domain (mathematical analysis) , mathematics , fictitious domain method , compressibility , mathematical optimization , flow (mathematics) , penalty method , incompressible flow , cylinder , partial differential equation , mathematical analysis , geometry , mechanics , physics
Fictitious domain method shows great advantages when handling problems with complex and constantly varying domains. In this article, we propose an algorithm which extends the fictitious domain method by introducing penalties. Test results with the numerical examples of backward facing step problem and the flow around steady and dynamic cylinder problem show that the algorithm we propose is highly efficient for solving incompressible fluid problems. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2010