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A stabilized mixed formulation using the proper generalized decomposition for fluid problems
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DOI：10.1016/j.cma.2018.09.030.png)
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摘要
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The aim of this work is to derive a stabilized mixed formulation for flow problems while using a domain decomposition technique. Therefore, we are generalizing the stabilized finite elements method using Galerkin Least Squares (GLS), into a stabilized mixed formulation valid for the separated representation, as used in the Proper Generalized Decomposition (PGD) formulation. The resulting formulation is robust and can be used in a generalized multidimensional framework without undergoing any changes in either the PGD formulation or in the mesh conditioning. We applied the stabilized PGD formulation for different benchmark problems including a 3D Squeeze flow, Poiseuille flow and a lid-driven cavity, as well as solving high dimensionality parametric problems using the same approach. (C) 2018 Elsevier B.V. All rights reserved.
Keyword:
Stabilized formulation
Stokes equation
Proper generalized decomposition
Mixed formulation
Model reduction
Parametric stabilized formulation
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期刊
IF:
7.3
论文数:
1.3W
被引数:
5.6W
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