activity
20172026
most citedA Modular Regularized Variational Multiscale Proper Orthogonal Decomposition for Incompressible Flows

23 citations · 45 across the 4 of their papers we have counts for

collaborators

5 papers

math.NA2026

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…

math.NA2019★ 22 cited

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…

math.NA2019

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…

math.NA2018

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…

math.NA2017★ 23 cited

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…