Variational Multiscale Proper Orthogonal Decomposition: Convection-Dominated Convection-Diffusion Equations

Details Variational Multiscale Proper Orthogonal Decomposition: Convection-Dominated Convection-Diffusion Equations Variational Multiscale Proper Orthogonal Decomposition: Convection-Dominated Convection-Diffusion Equations

2011-03-14

arxiv.org/abs/1103.2729v1

Mathematics

Numerical Analysis

22 pages, 4 figures

Scientific paper

We introduce a variational multiscale closure modeling strategy for the numerical stabilization of proper orthogonal decomposition reduced-order models of convection-dominated equations. As a first step, the new model is analyzed and tested for convection-dominated convection-diffusion equations. The numerical analysis of the finite element discretization of the model is presented. Numerical tests show the increased numerical accuracy over the standard reduced-order model and illustrate the theoretical convergence rates.

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