Stokes eigenmodes in cubic domain: primitive variable and Lattice Boltzmann formulations

Authors:
E. Leriche;P. Lallemand;G. Labrosse
Affiliations:
Laboratoire d'Ingénierie Numérique, Institut des Sciences de l'Energie, Faculté des Sciences et Technique de l'Ingénieur, Ecole Polytechnique Fédérale de Lausanne, CH ...;LIMSI-CNRS, Université Paris-Sud, Bâtiment 508, BP 133, 91403 Orsay Cedex, France;Université Paris-Sud, LIMSI-CNRS, Bâtiment 508, BP 133, 91403 Orsay Cedex, France
Venue:
Applied Numerical Mathematics
Year:
2008

Citing 4
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Abstract

A first numerical assessment of the Stokes eigenmodes in the cubical fully confined domain is proposed. It is based on two different solvers, the known Projection-Diffusion method and a Lattice Boltzmann approach. The numerical results of these solvers are compared in the 2-D (square) and 3-D (cube) cases. The leading eigenvalues, as well as their multiplicity, supplied by both solvers are in good agreement.