A velocity-current formulation for stationary MHD flow

DOI10.1016/0096-3003(94)90168-6zbMath0816.76097OpenAlexW2036185614MaRDI QIDQ1344019

A. J. Meir, Paul G. Schmidt

Publication date: 9 February 1995

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(94)90168-6

zbMATH Keywords

well-posednessvariational principlesmall datainterface conditions

Mathematics Subject Classification ID

Variational methods applied to problems in fluid mechanics (76M30) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (10)

A hybrid finite difference-boundary element procedure for the simulation of turbulent MHD duct flow at finite magnetic Reynolds number ⋮ Induced electric current-based formulation in computations of low magnetic Reynolds number magnetohydrodynamic flows ⋮ Mixed boundary value problems for stationary magnetohydrodynamic equations of a viscous heat-conducting fluid ⋮ MHD formulations for the liquid metal flow in a curved pipe of circular cross section ⋮ Electro-vortex flow simulation using coupled meshes ⋮ On a parallel, 3-dimensional, finite element solver for viscous, resistive, stationary magnetohydrodynamics equations: velocity-current formulation ⋮ Numerical simulations of liquid metal experiments on cosmic magnetic fields ⋮ Variational methods for stationary MHD flow under natural interface conditions ⋮ Effect of curvature and magnetic field on MHD flow of a liquid metal in a curved annular duct ⋮ Mixed velocity, stress, current, and potential boundary conditions for stationary MHD flow

Cites Work

• Unnamed Item
• Finite element approximation of the Navier-Stokes equations
• The equations of stationary, incompressible magnetohydrodynamics with mixed boundary conditions
• On formulating and assessing continuum theories of electromagnetic fields in elastic materials
• On the Existence, Uniqueness, and Finite Element Approximation of Solutions of the Equations of Stationary, Incompressible Magnetohydrodynamics
• A simple demonstration of the Hartmann layer

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