Approximation of the thermally coupled MHD problem using a stabilized finite element method

Authors:
Ramon Codina;Noel Hernández
Affiliations:
Universitat Politècnica de Catalunya, Jordi Girona 1-3, Edifici C1, 08034 Barcelona, Spain;Universitat Politècnica de Catalunya, Jordi Girona 1-3, Edifici C1, 08034 Barcelona, Spain
Venue:
Journal of Computational Physics
Year:
2011

Citing 6
Cited 2

Mixed and hybrid finite element methods

Mixed and hybrid finite element methods
The origin of spurious solutions in computational electromagnetics

Journal of Computational Physics
Mixed Discontinuous Galerkin Approximation of the Maxwell Operator

SIAM Journal on Numerical Analysis
Mixed finite element methods for stationary incompressible magneto–hydrodynamics

Numerische Mathematik
Mixed finite element approximation of incompressible MHD problems based on weighted regularization

Applied Numerical Mathematics
Analysis of a stabilized finite element approximation of the Oseen equations using orthogonal subscales

Applied Numerical Mathematics

Approximation of the inductionless MHD problem using a stabilized finite element method

Journal of Computational Physics
On an unconditionally convergent stabilized finite element approximation of resistive magnetohydrodynamics

Journal of Computational Physics

Quantified Score

Hi-index	31.46

Visualization

Abstract

A numerical formulation to solve the MHD problem with thermal coupling is presented in full detail. The distinctive feature of the method is the design of the stabilization terms, which serve several purposes. First, convective dominated flows in the Navier-Stokes and the heat equation can be dealt with. Second, there is no restriction in the choice of the interpolation spaces of all the variables and, finally, flows highly coupled with the magnetic field can be accounted for. Different aspects related to the design of the final fully discrete and linearized algorithm are also discussed.