Songül Kaya Merdan

E-mail

smerdan@metu.edu.tr

Department

Department of Mathematics

ORCID

0000-0003-4231-3630

Scopus Author ID

13407549500

Web of Science Researcher ID

J-2503-2012

Time filtered second order backward Euler method for EMAC formulation of Navier-Stokes equations Demir, Medine; Çıbık, Aytekin; Kaya Merdan, Songül (2022-12-15) © 2022 Elsevier Inc.This paper considers the backward Euler based linear time filtering method for the developed energy-momentum-angular momentum conserving (EMAC) formulation of the time dependent-incompressible Navier-St...
Error estimates for the optimal control of Navier-Stokes equations using curvature based stabilization Hacat, Gülnur; Yılmaz, Fikriye Nuray; Çıbık, Aytekin Bayram; Kaya Merdan, Songül (2022-10-01) © 2022 Elsevier Inc.This paper presents a family of implicit-explicit (IMEX) time stepping scheme for the optimal control problem of the unsteady Navier-Stokes equations (NSE). The main feature of this kind of optimal cont...
Defect-deferred correction method based on a subgrid artificial viscosity model for fluid-fluid interaction AĞGÜL, MUSTAFA; Kaya Merdan, Songül (Elsevier BV, 2021-02-01) © 2020 IMACSA defect-deferred correction method, increasing both temporal and spatial accuracy, for fluid-fluid interaction problem with nonlinear interface condition is considered by geometric averaging of the previous tw...
On the performance of curvature stabilization time stepping methods for double-diffusive natural convection flows in the presence of magnetic field Cibik, Aytekin; Eroglu, Fatma G.; Kaya Merdan, Songül (Springer Science and Business Media LLC, 2021-01-01) © 2021, Springer Science+Business Media, LLC, part of Springer Nature.This paper considers analytically and numerically the curvature-based stabilization method for double-diffusive natural convection flows in the presence...
A projection based variational multiscale method for a fluid–fluid interaction problem Ağgül, Mustafa ; Eroğlu, Fatma Güler ; Kaya Merdan, Songül; Labovsky, Alexer E. (Elsevier BV, 2020-06-15) The proposed method aims to approximate a solution of a fluid–fluid interaction problem in case of low viscosities. The nonlinear interface condition on the joint boundary allows for this problem to be viewed as a simplifi...
A second order decoupled penalty projection method based on deferred correction for MHD in Elsässer variable Erkmen, Dilek; Kaya Merdan, Songül; Cibik, Aytekin (Elsevier BV, 2020-06-01) © 2019 Elsevier B.V.We study the deferred correction method for the magnetohydrodynamics (MHD) system written in Elsässer variables. The proposed algorithm is based on the penalty projection with grad-div stabilized Taylor...
Analysis of Second Order Time Filtered Backward Euler Method for MHD Equations Cibik, Aytekin; EROĞLU, FATMA GÜLER; Kaya Merdan, Songül (Springer Science and Business Media LLC, 2020-02-01) he present work is devoted to introduce the backward Euler based modular time filter method for MHD flow. The proposed method improves the accuracy of the solution without a significant change in the complexity of the syst...
LONG TIME STABILITY OF A LINEARLY EXTRAPOLATED BLENDED BDF SCHEME FOR MULTIPHYSICS FLOWS Cibik, Aytekin; Eroglu, Fatma G.; Kaya Merdan, Songül (2020-01-01) This paper investigates the long time stability behavior of multiphysics flow problems, namely the Navier-Stokes equations, natural convection and double-diffusive convection equations with an extrapolated blended BDF time...
Etik İncelemesi Kaya Merdan, Songül (2020-01-01)
An Extrapolated Crank Nicholson VMS-POD Methodfor Darcy Brinkman Equations. Güler Eroğlu, Fatma; Kaya Merdan, Songül (Springer, Cham, 2020-01-01) This study presents a variational multiscale (VMS) reduced order model (ROM) based on proper orthogonal decomposition (POD) for the Darcy Brinkman equations. The idea of POD consists of extracting the dominant features of ...

Citation Formats