A Numerical Investigationof VMS-POD Model for Darcy-Brinkman Equations

Date

2018-07-06

Author

Güler Eroğlu, Fatma
Kaya Merdan, Songül
Rebholz, Leo

Metadata

Show full item record

Item Usage Stats

191
views

0
downloads

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.

Subject Keywords

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

URI

http://www.iaeng.org/publication/WCE2018/WCE2018_pp7-11.pdf
https://hdl.handle.net/11511/71081

Conference Name

World Congress on Engineering, 2018

Collections

Department of Mathematics, Conference / Seminar

Suggestions

OpenMETU
Core

Decoupled Modular Regularized VMS-POD for Darcy-Brinkman Equations Güler Eroğlu, Fatma; Kaya Merdan, Songül; Rebholz, Leo G (2019-05-01) 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.
Model order reduction for nonlinear Schrodinger equation Karasözen, Bülent; Uzunca, Murat (2015-05-01) We apply the proper orthogonal decomposition (POD) to the nonlinear Schrodinger (NLS) equation to derive a reduced order model. The NLS equation is discretized in space by finite differences and is solved in time by structure preserving symplectic mid-point rule. A priori error estimates are derived for the POD reduced dynamical system. Numerical results for one and two dimensional NLS equations, coupled NLS equation with soliton solutions show that the low-dimensional approximations obtained by POD reprodu...
A density functional theory study on the structural and electronic properties of PbxSbySez (x plus y plus z=2, 3) clusters Pekoz, Rengin; Erkoç, Şakir (2018-01-30) The structural and electronic properties of neutral ternary PbxSbySez clusters (x y + z = 2, 3) in their ground states have been explored by means of density functional theory calculations. The geometric structures and binding energies are systematically explored and for the most stable configurations of each cluster type vibrational frequencies, charges on atoms, energy difference between highest occupied and lowest unoccupied molecular orbitals, and the possible dissociations channels have been analyzed. ...
A coupled numerical scheme of dual reciprocity BEM with DQM for the transient elastodynamic problems Bozkaya, Canan (Wiley, 2008-11-12) The two-dimensional transient elastodynamic problems are solved numerically by using the coupling of the dual reciprocity boundary element method (DRBEM) in spatial domain with the differential quadrature method (DQM) in time domain. The DRBEM with the fundamental solution of the Laplace equation transforms the domain integrals into the boundary integrals that contain the first- and the second-order time derivative terms. Thus, the application of DRBEM to elastodynamic problems results in a system of second...
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. Rebholz, “A Numerical Investigationof VMS-POD Model for Darcy-Brinkman Equations,” 2018, vol. 1, Accessed: 00, 2021. [Online]. Available: http://www.iaeng.org/publication/WCE2018/WCE2018_pp7-11.pdf.