Önder Türk

E-mail
oturk@metu.edu.tr
Department
Graduate School of Applied Mathematics
Scopus Author ID
Web of Science Researcher ID
Time dependent magnetic field effects on the MHD flow and heat transfer in a rectangular duct
Tezer, Münevver; Türk, Önder (2024-01-01)
We consider the effect of time dependent magnetic field on the natural convection magnetohydrodynamic flow in a rectangular duct. The flow is two-dimensional, unsteady, laminar and the fluid is electrically conducting and ...
Direct and inverse problems for a 2D heat equation with a Dirichlet–Neumann–Wentzell boundary condition
Ismailov, Mansur I.; Türk, Önder (2023-12-01)
In this paper we present the inverse problem of determining a time dependent heat source in a two-dimensional heat equation accompanied with Dirichlet–Neumann–Wentzell boundary conditions. The model is of significant pract...
Analytical and numerical assessments of boundary variations in Steklov eigenvalue problems
Bahadır, Eylem; Türk, Önder (2023-04-01)
In this study, we aim to analyze the effects of several boundary variations on the spectrum of the simplified and generalized Steklov eigenvalue problems (EVPs) in which the spectral parameter resides on the boundary. We m...
Modal analysis of elastic vibrations of incompressible materials using a pressure-stabilized finite element method
Codina, Ramon; Türk, Önder (2022-09-01)
This paper describes a modal analysis technique to approximate the vibrations of incompressible elastic solids using a stabilized finite element method to approximate the associated eigenvalue problem. It is explained why ...
Approximation of Steklov Eigenvalue Problems by Finite Difference Methods
Özalp, Mücahit; Bozkaya, Canan; Türk, Önder (2022-08-29)
Chebyshev spectral collocation method for MHD duct flow under slip condition
Bozkaya, Canan; Türk, Önder (2022-01-01)
The magnetohydrodynamic problem of a fully developed flow of an incompressible and electrically conducting fluid is solved numerically by a Chebyshev spectral collocation method in a square duct with walls of variable elec...
A Comparison of Boundary Element and Spectral Collocation Approaches to the Thermally Coupled MHD Problem
Bozkaya, Canan; Türk, Önder (2021-05-03)
The thermally coupled full magnetohydrodynamic (MHD) flow is numerically investigated in a square cavity subject to an externally applied uniform magnetic field. The governing equations given in terms of stream function, v...
A DRBEM approximation of the Steklov eigenvalue problem
Türk, Önder (Elsevier BV, 2021-01-01)
In this study, we propose a novel approach based on the dual reciprocity boundary element method (DRBEM) to approximate the solutions of various Steklov eigenvalue problems. The method consists in weighting the governing d...
Modal Analysis of Elastic Vibrations of Incompressible Materials Based on a Variational Multiscale Finite Element Method
Codina, Ramon; Türk, Önder (2021-01-01)
© 2021, Springer Nature Switzerland AG.In this study, we extend the standard modal analysis technique that is used to approximate vibration problems of elastic materials to incompressible elasticity. The second order time ...
A CSCM Approximation of Steady MHD Flow and Heat Transfer Between Parallel Plates with Hydrodynamic Slip and Convective Boundary Conditions
Tezer, Münevver; Türk, Önder (2021-01-01)
© 2021, Springer Nature Switzerland AG.The steady magnetohydrodynamic (MHD) flow and heat transfer between parallel plates is considered in which the electrically conducting fluid has temperature dependent properties such ...
Citation Formats