Meshless local Petrov–Galerkin (MLPG) method for the unsteady magnetohydrodynamic (MHD) flow through pipe with arbitrary wall conductivity

M Dehghan, D Mirzaei - Applied Numerical Mathematics, 2009 - Elsevier
In this article a meshless local Petrov–Galerkin (MLPG) method is given to obtain the
numerical solution of the coupled equations in velocity and magnetic field for unsteady …

Error analysis and numerical simulation of magnetohydrodynamics (MHD) equation based on the interpolating element free Galerkin (IEFG) method

M Dehghan, M Abbaszadeh - Applied Numerical Mathematics, 2019 - Elsevier
The MHD equation has some applications in physics and engineering. The main aim of the
current paper is to propose a new numerical algorithm for solving the MHD equation. At first …

[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 …

[HTML][HTML] The method of variably scaled radial kernels for solving two-dimensional magnetohydrodynamic (MHD) equations using two discretizations: the Crank …

M Dehghan, V Mohammadi - Computers & Mathematics with Applications, 2015 - Elsevier
MHD equations have many applications in physics and engineering. The model is coupled
equations in velocity and magnetic field and has a parameter namely Hartmann. The value …

Finite element method in magnetohydrodynamic channel flow problems

B Singh, J Lal - International Journal for Numerical Methods in …, 1982 - Wiley Online Library
The finite element method has been applied to the steady‐state fully developed
magnetohydrodynamic channel flow of a conducting fluid in the presence of transverse …

Meshless local boundary integral equation (LBIE) method for the unsteady magnetohydrodynamic (MHD) flow in rectangular and circular pipes

M Dehghan, D Mirzaei - Computer Physics Communications, 2009 - Elsevier
The meshless local boundary integral equation (LBIE) method is given to obtain the
numerical solution of the coupled equations in velocity and magnetic field for unsteady …

A meshfree weak-strong (MWS) form method for the unsteady magnetohydrodynamic (MHD) flow in pipe with arbitrary wall conductivity

M Dehghan, R Salehi - Computational Mechanics, 2013 - Springer
In this paper a meshfree weak-strong (MWS) form method is considered to solve the coupled
equations in velocity and magnetic field for the unsteady magnetohydrodynamic flow throFor …

Finite element method for unsteady MHD flow through pipes with arbitrary wall conductivity

B Singh, J Lal - International journal for numerical methods in …, 1984 - Wiley Online Library
A finite element method is given to obtain the numerical solution of the coupled equations in
velocity and magnetic field for unsteady MHD flow through a pipe having arbitrarily …

Numerical investigation of the magnetic properties and behavior of electrically conducting fluids via the local weak form method

M Abbaszadeh, M Bayat, M Dehghan - Applied Mathematics and …, 2022 - Elsevier
The magnetohydrodynamics (MHD) equation is one of the practical models that it has
different applications in physics and engineering. It describes the magnetic properties and …

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 …