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

JOURNAL OF COMPUTATIONAL PHYSICS

卷:230

Article

Dumon, A.¹  Allery, C.¹  Ammar, A.² 

[1] LEPTIAB Pole Sci & Technol, F-17042 La Rochelle 1, France

[2] Arts & Metiers ParisTech, F-49035 Angers 01, France

关键词: Reduced order model;    Proper generalized decomposition;    Lid-driven cavity;    Navier-Stokes equations;   

DOI  :  10.1016/j.jcp.2010.11.010

来源: Elsevier

【 摘 要 】

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. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free