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Unconditionally stable operator splitting algorithms for the incompressible magnetohydrodynamics (MHD) system discretized by a stabilized finite element formulation based on projections

Autor
Badia, S.; Planas, R.; Gutierrez, V.
Tipus d'activitat
Article en revista
Revista
International journal for numerical methods in engineering
Data de publicació
2013-01
Volum
93
Número
3
Pàgina inicial
302
Pàgina final
328
DOI
https://doi.org/10.1002/nme.4392 Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/17285 Obrir en finestra nova
URL
http://onlinelibrary.wiley.com/doi/10.1002/nme.4392/abstract Obrir en finestra nova
Resum
In this article we propose different splitting procedures for the transient incompressible MHD system that are unconditionally stable. We consider two levels of splitting, on one side we perform the segregation of the fluid pressure and magnetic pseudo-pressure from the vectorial fields computation. At the second level, the fluid velocity and induction fields are also decoupled. This way, we transform a fully coupled indefinite multi-physics system into a set of smaller definite ones, clearly re...
Citació
Badia, S.; Planas, R.; Gutierrez, J. Unconditionally stable operator splitting algorithms for the incompressible magnetohydrodynamics (MHD) system discretized by a stabilized finite element formulation based on projections. "International journal for numerical methods in engineering", Gener 2013, vol. 93, núm. 3, p. 302-328.
Paraules clau
Fractional step methods, Incompressible magnetohydrodynamics, Operator splitting algorithms, Stabilized finite element methods, Symmetric projection stabilization
Grup de recerca
(MC)2 - UPC Mecànica de Medis Continus i Computacional
ANiComp - Anàlisi numèrica i computació científica

Participants