23 citations · 45 across the 8 of their papers we have counts for
9 papers · 1 filter
Improved Arrow-Hurwicz method for Stationary Inductionless Magnetohydrodynamics System
Duygu Uludag, Fatma G. Eroglu, Aziz Takhirov +1
In this work, we propose a new Arrow-Hurwicz iterative scheme designed to solve the steady inductionless magnetohydrodynamics system. The main feature of the proposed scheme is the…
On the Analysis of the Second Order Time Filtered Backward Euler Method for the EMAC formulation of Navier-Stokes Equations
Medine Demir, Aytekin Çıbık, Songül Kaya
This paper considers the backward Euler based linear time filtering method for the EMAC formulation of the incompressible Navier-Stokes equations. The time filtering is added as a…
Defect-Deferred Correction Method Based on a Subgrid Artificial Viscosity Model for Fluid-Fluid Interaction
Mustafa Aggul, Songül Kaya
A defect-deferred correction method, increasing both temporal and spatial accuracy, for fluid-fluid interaction problem with nonlinear interface condition is considered by geometri…
An analysis of a linearly extrapolated BDF2 subgrid artificial viscosity method for incompressible flows
Medine Demir, Songül Kaya
This report extends the mathematical support of a subgrid artificial viscosity (SAV) method to simulate the incompressible Navier-Stokes equations to better performing a linearly e…
A projection based Variational Multiscale Method for Atmosphere-Ocean Interaction
Mustafa Aggul, Fatma G. Eroglu, Songül Kaya +1
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 f…
Numerical analysis of an efficient second order time filtered backward Euler method for MHD equations
Aytekin Cibik, Fatma G. Eroglu, Songul Kaya
The 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 signi…
Long time stability of a linearly extrapolated blended BDF scheme for multiphysics flows
Aytekin Çıbık, Fatma G. Eroglu, Songul Kaya
This paper investigates the long time stability behavior of multiphysics flow problems, namely the Navier-Stokes equations, natural convection and double-diffusive convection equat…
A Family of Second Order Time Stepping Methods for the Darcy-Brinkman Equations
Aytekin Çıbık, Medine Demir, Songul Kaya
This study presents an efficient, accurate, effective and unconditionally stable time stepping scheme for the Darcy-Brinkman equations in double-diffusive convection. The stabiliza…
A Modular Regularized Variational Multiscale Proper Orthogonal Decomposition for Incompressible Flows
Fatma G. Eroglu, Songul Kaya, Leo G. Rebholz
In this paper, we propose, analyze and test a post-processing implementation of a projection-based variational multiscale (VMS) method with proper orthogonal decomposition (POD) fo…