[HTML][HTML] The boundary elements method for magneto-hydrodynamic (MHD) channel flows at high Hartmann numbers

H Hosseinzadeh, M Dehghan, D Mirzaei - Applied Mathematical Modelling, 2013 - Elsevier
In this article the constant and the continuous linear boundary elements methods (BEMs) are
given to obtain the numerical solution of the coupled equations in velocity and induced …

Element-free Galerkin analysis of MHD duct flow problems at arbitrary and high Hartmann numbers

X Li, S Li - Engineering with Computers, 2024 - Springer
A stabilized element-free Galerkin (EFG) method is proposed in this paper for numerical
analysis of the generalized steady MHD duct flow problems at arbitrary and high Hartmann …

Computational analysis for fractional characterization of coupled convection-diffusion equations arising in MHD flows

M Hamid, M Usman, Z Tian - Applied Mathematics and Mechanics, 2023 - Springer
The work is devoted to the fractional characterization of time-dependent coupled convection-
diffusion systems arising in magnetohydrodynamics (MHD) flows. The time derivative is …

A tailored finite point method for solving steady MHD duct flow problems with boundary layers

PW Hsieh, Y Shih, SY Yang - Communications in Computational …, 2011 - cambridge.org
In this paper we propose a development of the finite difference method, called the tailored
finite point method, for solving steady magnetohydrodynamic (MHD) duct flow problems with …

A computational study for simulating MHD duct flows at high Hartmann numbers using a stabilized finite element formulation with shock-capturing

S Cengizci, Ö Uğur - Journal of Computational Science, 2024 - Elsevier
The concern of this manuscript is stabilized finite element simulations of two-dimensional
incompressible and viscous magnetohydrodynamic (MHD) duct flows governed by a …

Analysis of an unconditionally convergent stabilized finite element formulation for incompressible magnetohydrodynamics

S Badia, R Codina, R Planas - Archives of computational methods in …, 2015 - Springer
In this work, we analyze a recently proposed stabilized finite element formulation for the
approximation of the resistive magnetohydrodynamics equations. The novelty of this …

Exponential compact ADI method for a coupled system of convection-diffusion equations arising from the 2D unsteady magnetohydrodynamic (MHD) flows

S Wu, B Peng, ZF Tian - Applied Numerical Mathematics, 2019 - Elsevier
In this paper, an exponential high-order compact alternating direction implicit (EHOC-ADI)
difference method is developed for solving the coupled equations representing the unsteady …

Comparison of multiscale models for eddy current computation in granular magnetic materials

O Bottauscio, A Manzin - Journal of Computational Physics, 2013 - Elsevier
In this paper, two multiscale numerical techniques are applied to the study of eddy current
phenomena in magnetic granular materials. In particular, the Multiscale Finite Element …

Two new upwind difference schemes for a coupled system of convection–diffusion equations arising from the steady MHD duct flow problems

PW Hsieh, SY Yang - Journal of Computational Physics, 2010 - Elsevier
In this paper, we develop two new upwind difference schemes for solving a coupled system
of convection–diffusion equations arising from the steady incompressible MHD duct flow …

Uniformly convergent scheme for steady MHD duct flow problems with high Hartmann numbers on structured and unstructured grids

T Sun, Y Wang - Mathematics and Computers in Simulation, 2023 - Elsevier
The steady incompressible Magnetohydrodynamic (MHD) duct flow problems with a
transverse magnetic field at high Hartmann numbers (Ha) is a coupled system of convection …