Journal
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
Volume 75, Issue 1, Pages 63-80Publisher
WILEY
DOI: 10.1002/fld.3884
Keywords
immersed boundary method (IB); finite element method; mesh subdivision; Navier-Stokes equations; nonbodyfitted mesh
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Funding
- Natural Sciences and Engineering Research Council of Canada (NSERC)
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In this paper, we present an immersed boundary method for solving fluid flow problems in the presence of static and moving rigid objects. A FEM is used starting from a base mesh that does not represent exactly rigid objects (nonbodyconforming mesh). At each time step, the base mesh is locally modified to provide a new mesh fitting the boundary of the rigid objects. The mesh is also locally improved using edge swapping to enhance the quality of the elements. The Navier-Stokes equations are then solved on this new mesh. The velocity of moving objects is imposed through standard Dirichlet boundary conditions. We consider a number of test problems and compare the numerical solutions with those obtained on classical bodyfitted meshes whenever possible. Copyright (c) 2014 John Wiley & Sons, Ltd.
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