Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4642305 | Journal of Computational and Applied Mathematics | 2008 | 10 Pages |
Abstract
A general formulation of the homogenization problem of compressible fluid flow through a periodic porous material in turbomachines is presented here. This formulation is able to derive a Forchheimer law with a mean velocity dependent permeability as equivalent macroscopic behavior. To specify this permeability, additional flow problems are defined on the unit cell and solved by a mixed stabilized finite element discretization. The application of the Galerkin least-square (GLS) method requires the introduction of two stabilization terms with appropriate parameters. The mixed finite element discretization of these unit cell problems is finally outlined.
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Gottfried Laschet,