A finite element immersed boundary method for fluid flow around rigid objects

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DOIResolve DOI: http://doi.org/10.1002/fld.2222
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Journal titleInternational Journal for Numerical Methods in Fluids
Pages856875; # of pages: 20
Subjectimmersed boundary method; finite elements; immersed objects; non-body-fitted mesh; pressure enrichment
AbstractThis paper proposes a new immersed boundary (IB) method for solving fluid flow problems in the presence of rigid objects which are not represented by the mesh. Solving the flow around objects with complex shapes may involve extensive meshing work that has to be repeated each time a change in the geometry is needed. Important benefit would be reached if we are able to solve the flow without the need of generating a mesh that fits the shape of the immersed objects. This work presents a finite element IB method using a discretization covering the entire domain of interest, including the volume occupied by immersed objects, and which produces solutions of the flow satisfying accurately the boundary conditions at the surface of immersed bodies. In other words the finite element solution represents accurately the presence of immersed bodies while the mesh does not. This is done by including additional degrees of freedom on interface cut elements which are then eliminated at element level. The boundary of immersed objects is defined using a level set function. Solutions are shown for various flow problems and the accuracy of the present approach is measured with respect to solutions obtained on body-fitted meshes. Copyright 2010 Crown in the right of Canada.
Publication date
AffiliationNational Research Council Canada (NRC-CNRC); NRC Industrial Materials Institute
Peer reviewedYes
NRC number52401
NPARC number16001661
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Record identifiere0263d14-a654-46d1-ab4d-092620326c35
Record created2010-08-30
Record modified2016-05-09
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