Decoupled Modular Regularized VMS-POD for Darcy-Brinkman Equations

Download

index.pdf

Date

2019-05-01

Author

Güler Eroğlu, Fatma
Kaya Merdan, Songül
Rebholz, Leo G

Metadata

Show full item record

Item Usage Stats

195
views

61
downloads

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.

Subject Keywords

Double-diffusive, Post-process, Proper orthogonal decomposition, Reduced order models, Variational multiscale

URI

https://hdl.handle.net/11511/73037
http://eds.a.ebscohost.com/eds/pdfviewer/pdfviewer?vid=0&sid=516bdd5e-5748-456e-8660-90637c5c1dc4%40sessionmgr4008

Journal

IAENG International Journal of Applied Mathematics

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

A Numerical Investigationof VMS-POD Model for Darcy-Brinkman Equations Güler Eroğlu, Fatma; Kaya Merdan, Songül; Rebholz, Leo (2018-07-06) 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.
Numerical Studies on a Second Order Explicitly Decoupled Variational Multiscale Method Akbas, Mine; Kaya Merdan, Songül; Rebholz, Leo (2015-09-18) Projection based variational multiscale (VMS) methods are a very successful technique in the numerical simulation of high Reynolds number flow problems using coarse discretizations. However, their implementation into an existing (legacy) codes can be very challenging in practice. We propose a second order variant of projection-based VMS method for non-isothermal flow problems. The method adds stabilization as a decoupled post-processing step for both velocity and temperature, and thus can be efficiently and...
Scalar mesons in radiative phi-meson decays into neutral k-meson states Korkmaz (Şişman), Canan; Yılmaz, Osman; Department of Physics (2006) Radiative Decays of the phi-meson to the scalar mesons f0(980) and a0(980) are investigated within the framework of charged kaon loop model for both point-like scalar mesons and for scalar mesons with extended structure. Then, the radiative phi-meson decay into neutral K-meson is studied via a two step mechanism in which the scalar mesons couple the final state to the phi-meson through the charged kaon loop. The branching ratio of this decay is calculated and it is shown that this reaction will not provide ...
Forward-backward domain decomposition method for finite element solution of electromagnetic boundary value problems Ozgun, Ozlem; Kuzuoğlu, Mustafa (Wiley, 2007-10-01) We introduce the forward-backward domain decomposition method (FB-DDM), which is basically an improved version of the classical alternating Schwarz method with overlapping subdomains,for electromagnetic, boundary value problems. The proposed method is non-iterative in some cases involving smooth geometries, or it usually converges in a few iterations in other cases involving challenging geometries, via the utilization of the locally-conformal PML method. We report some numerical results for two- dimensional...
Reduced Order Optimal Control Using Proper Orthogonal Decomposition Sensitivities Karasözen, Bülent (2015-06-02) In general, reduced-order model (ROM) solutions obtained using proper orthogonal decomposition (POD) at a single parameter cannot approximate the solutions at other parameter values accurately. In this paper, parameter sensitivity analysis is performed for POD reduced order optimal control problems (OCPs) governed by linear diffusion-convection-reaction equations. The OCP is discretized in space and time by discontinuous Galerkin (dG) finite elements. We apply two techniques, extrapolating and expanding the...

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: https://hdl.handle.net/11511/73037.