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dc.contributor.authorBadia, Santiago
dc.contributor.authorMartín Huertas, Alberto Francisco
dc.contributor.authorPlanas Badenas, Ramon
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Resistència de Materials i Estructures a l'Enginyeria
dc.identifier.citationBadia, S.; Martín, A. F.; Planas, R. "Block recursive LU preconditioners for the thermally coupled incompressible inductionless MHD problem". 2013.
dc.description.abstractThe thermally coupled incompressible inductionless magnetohydrodynamics (MHD) problem models the ow of an electrically charged fuid under the in uence of an external electromagnetic eld with thermal coupling. This system of partial di erential equations is strongly coupled and highly nonlinear for real cases of interest. Therefore, fully implicit time integration schemes are very desirable in order to capture the di erent physical scales of the problem at hand. However, solving the multiphysics linear systems of equations resulting from such algorithms is a very challenging task which requires e cient and scalable preconditioners. In this work, a new family of recursive block LU preconditioners is designed and tested for solving the thermally coupled inductionless MHD equations. These preconditioners are obtained after splitting the fully coupled matrix into one-physics problems for every variable (velocity, pressure, current density, electric potential and temperature) that can be optimally solved, e.g., using preconditioned domain decomposition algorithms. The main idea is to arrange the original matrix into an (arbitrary) 2 2 block matrix, and consider a LU preconditioner obtained by approximating the corresponding Schur complement. For every one of the diagonal blocks in the LU preconditioner, if it involves more than one type of unknown, we proceed the same way in a recursive fashion. This approach is stated in an abstract way, and can be straightforwardly applied to other multiphysics problems. Further, we precisely explain a fexible and general software design for the code implementation of this type of preconditioners.
dc.format.extent22 p.
dc.subjectÀrees temàtiques de la UPC::Física::Electromagnetisme::Ones electromagnètiques
dc.subject.otherstabilized finite element methods
dc.subject.otherblock preconditioners
dc.subject.otherthermal coupling
dc.subject.otherinductionless magnetohydrodynamics
dc.subject.otherstabilized nite element methods
dc.subject.otherblock preconditioning
dc.titleBlock recursive LU preconditioners for the thermally coupled incompressible inductionless MHD problem
dc.typeExternal research report
dc.contributor.groupUniversitat Politècnica de Catalunya. (MC)2 - Grup de Mecànica Computacional en Medis Continus
dc.rights.accessOpen Access
upcommons.citation.authorBadia, S.; Martín, A. F.; Planas, R.
upcommons.citation.publicationNameBlock recursive LU preconditioners for the thermally coupled incompressible inductionless MHD problem

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