Third M.I.T. Conference on Computational Fluid and Solid Mechanics June 14–17, 2005  

A Laplacian-based grid manipulator for ALE calculations in screw compressors

John Vande Voorde*, Jan Vierendeels, Erik Dick
Department of Flow, Heat and Combustion Mechanics, Ghent University, Sint Pietersnieuwstraat 41, B-9000 Ghent, Belgium

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ABSTRACT
A grid manipulation algorithm is presented that allows CFD calculations in complex moving geometries using block-structured grids. An Arbitrary Lagrangian-Eulerian formulation of the flow problem is used. In terms of grid manipulation, this means that grid nodes are moved in-between time steps without changing the grid topology. The focus of the paper lies on the development of the grid manipulator.
The block-structured grids are constructed from the solution of the Laplace equation ∇2(Φ) = 0 obtained on an unstructured grid in the same geometry. High quality meshes are constructed from the gradient lines and the potential lines. As an illustration, a calculation of compressible flow in a screw compressor is set up with the constructed meshes.

Keywords:  CFD; Grid manipulation; Arbitrary Lagrangian-Eulerian; Structured grid; Tooth compressor; Internal flow; Moving boundaries

* Corresponding author. Tel.: + 32 926 43312; Fax: + 32 926 43586; E-mail: John.Vandevoorde@Ugent.be