Songül Kaya Merdan

Department of Mathematics
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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...
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 ...
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