Proper general decomposition (PGD) for the resolution of Navier-Stokes equations

Authors:
A. Dumon;C. Allery;A. Ammar
Affiliations:
LEPTIAB, Pôle Sciences et Technologie, Avenue Michel Crepeau, 17042 La Rochelle Cedex 1, France;LEPTIAB, Pôle Sciences et Technologie, Avenue Michel Crepeau, 17042 La Rochelle Cedex 1, France;Arts et Metiers ParisTech, 2 Bvd du Ronceray, 49035 Angers Cedex 01, France
Venue:
Journal of Computational Physics
Year:
2011

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Abstract

In this work, the PGD method will be considered for solving some problems of fluid mechanics by looking for the solution as a sum of tensor product functions. In the first stage, the equations of Stokes and Burgers will be solved. Then, we will solve the Navier-Stokes problem in the case of the lid-driven cavity for different Reynolds numbers (Re=100, 1000 and 10,000). Finally, the PGD method will be compared to the standard resolution technique, both in terms of CPU time and accuracy.