An Efficient Multigrid FEM Solution Technique for Incompressible Flow with Moving Rigid Bodies

Decheng Wan, Stefan Turek and Liudmila S. Rivkind
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Decheng Wan: University of Dortmund, Institute of Applied Mathematics LS III
Stefan Turek: University of Dortmund, Institute of Applied Mathematics LS III
Liudmila S. Rivkind: University of Dortmund, Institute of Applied Mathematics LS III

A chapter in Numerical Mathematics and Advanced Applications, 2004, pp 844-853 from Springer

Abstract: Summary This paper uses the fictitious boundary method described in [1] for the solution of incompressible flow with moving rigid bodies in complex geometries. The method is based on a special treatment of Dirichlet boundary conditions inside of a FEM approach in the context of a hierarchical multigrid scheme such that the flow can be efficiently computed on a fixed computational mesh while the solid boundaries are allowed to move freely through the given mesh. In this paper, we focus on the calculations of the drag and lift forces acting on the moving solid bodies which are not captured by the mesh. The comparison between the present and benchmark results for the flow around a circular cylinder with different Reynolds numbers is first presented, and then the result for a circular cylinder oscillating in a channel is given. The simulation results compared with corresponding reference results are found to be very reasonable and satisfactory.

Keywords: Rigid Body; Drag Coefficient; Circular Cylinder; Lift Force; Wall Surface (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-18775-9_83

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DOI: 10.1007/978-3-642-18775-9_83

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