Decoupled Modular Regularized VMS-POD for Darcy-Brinkman Equations

Güler Eroğlu, Fatma
Kaya Merdan, Songül
Rebholz, Leo G
We extend the post-processing implementation of a projection based variational multiscale (VMS) method with proper orthogonal decomposition (POD) to flows governed by double diffusive convection. In the method, the stabilization terms are added to momentum equation, heat and mass transfer equations as a completely decoupled separate steps. The theoretical analyses are presented. The results are verified with numerical tests on a benchmark problem.
IAENG International Journal of Applied Mathematics


A Numerical Investigationof VMS-POD Model for Darcy-Brinkman Equations
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We extend the variational multiscale proper orthogonal decomposition reduced order modeling (VMSPOD) to flows governed by double diffusive convection. We present stability and convergence analyses for it, and give results for numerical tests on a benchmark problem which show it is an effective approach.
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Citation Formats
F. Güler Eroğlu, S. Kaya Merdan, and L. G. Rebholz, “Decoupled Modular Regularized VMS-POD for Darcy-Brinkman Equations,” IAENG International Journal of Applied Mathematics, pp. 134–144, 2019, Accessed: 00, 2021. [Online]. Available: