An accurate, stable and efficient domain-type meshless method for the solution of MHD flow problems

DOI10.1016/j.jcp.2009.07.031zbMath1391.76510OpenAlexW1997017925MaRDI QIDQ732959

G. C. Nikiforidis, E. D. Skouras, V. C. Loukopoulos, George Bourantas

Publication date: 15 October 2009

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: http://orbilu.uni.lu/handle/10993/21139

zbMATH Keywords

MHDHartmann numbermeshlesspoint collocationMLS

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Spectral methods applied to problems in fluid mechanics (76M22) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (20)

MHD flow between electromagnetically coupled concentric cylinders with slipping walls ⋮ A direct BEM solution to MHD flow in electrodynamically coupled rectangular channels ⋮ Numerical investigation of the magnetic properties and behavior of electrically conducting fluids via the local weak form method ⋮ Coiflet wavelet-homotopy solution of free convection in a closed cavity subjected to an inclined external magnetic field ⋮ Erratum to ``A bubble-stabilized least-squares finite element method for steady MHD duct flow problems at high Hartmann numbers ⋮ Computational analysis for fractional characterization of coupled convection-diffusion equations arising in MHD flows ⋮ Truly meshless localized type techniques for the steady-state heat conduction problems for isotropic and functionally graded materials ⋮ Localized meshless point collocation method for time-dependent magnetohydrodynamics flow through pipes under a variety of wall conductivity conditions ⋮ A meshfree weak-strong (MWS) form method for the unsteady magnetohydrodynamic (MHD) flow in pipe with arbitrary wall conductivity ⋮ Solving Magneto-Hydrodynamic (MHD) Channel Flows at Large Hartmann Numbers by Using the Method of Fundamental Solutions ⋮ Error analysis and numerical simulation of magnetohydrodynamics (MHD) equation based on the interpolating element free Galerkin (IEFG) method ⋮ Transient thermal conduction with variable conductivity using the meshless local Petrov-Galerkin method ⋮ The method of variably scaled radial kernels for solving two-dimensional magnetohydrodynamic (MHD) equations using two discretizations: the Crank-Nicolson scheme and the method of lines (MOL) ⋮ An explicit meshless point collocation method for electrically driven magnetohydrodynamics (MHD) flow ⋮ Exponential compact ADI method for a coupled system of convection-diffusion equations arising from the 2D unsteady magnetohydrodynamic (MHD) flows ⋮ A numerical solution of the steady MHD flow through infinite strips with BEM ⋮ Convergence analysis and detection of singularities within a boundary meshless method based on Taylor series ⋮ The variational multiscale element free Galerkin method for MHD flows at high Hartmann numbers ⋮ Time varying control of magnetohydrodynamic duct flow ⋮ DRBEM solution of MHD flow in a rectangular duct with time-varied external magnetic field

Uses Software

• Mfree2D

Cites Work

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