On magnetic boundary conditions for non-spectral dynamo simulations | INSTITUT DE PHYSIQUE DU GLOBE DE PARIS

Twitter

Aller au compte twitter

  On magnetic boundary conditions for non-spectral dynamo simulations

Type de publication:

Journal Article

Source:

Geophysical and Astrophysical Fluid Dynamics, Volume 99, Ticket 6, p.481-492 (2005)

ISBN:

0309-1929

Mots-clés:

FINITE-ELEMENT-METHOD; ALGORITHM; DOMAINS

Résumé:

We address issues associated with non-local magnetic boundary conditions for non-spectral dynamo simulations. We introduce an integro-differential formulation for a domain bounded by an insulating outer domain. We show how to combine the flexibility of a local discretisation with a rigorous formulation of magnetic boundary conditions in arbitrary geometries. This formulation substantiates from mathematical point of view a new method for numerical solution of magnetohydrodynamic problems with non-local boundary conditions based on coupling finite volumes and boundary elements. Finally, we discuss practical efficiency of this new method.

Notes:

Geophys. Astrophys. Fluid Dyn.ISI Document Delivery No.: 995XGTimes Cited: 0Cited Reference Count: 21Cited References:ALOUGES FC, 2001, ESAIM CONTR OP CA VA, V6, P629BONNET M, 1995, EQUATIONS INTEGRALES, P23BRUN AS, 2004, ASTROPHYS J 1, V614, P1073CHAN KH, 2001, PHYS EARTH PLANET IN, V128, P35CHENG H, 1999, J COMPUT PHYS, V155, P468CHRISTENSEN U, 1999, GEOPHYS J INT, V138, P393CHRISTENSEN UR, 2001, PHYS EARTH PLANET IN, V128, P25GLATZMAIER GA, 1995, NATURE, V377, P203GREENGARD L, 1997, J COMPUT PHYS, V135, P280GUERMOND JL, 2003, EUR J MECH B-FLUID, V22, P555HEJDA P, 1982, STUD GEOPHYS GEOD, V26, P361ISKAKOV AB, 2004, J COMPUT PHYS, V197, P540IVANOVA TS, 1976, J COMPUT MATH MATH P, V16, P956JACKSON JD, 1975, CLASSICAL ELECTRODYN, P17JEPPS SA, 1975, J FLUID MECH, V67, P625MATSUI H, 2005, INT J COMPUTATIONAL, V19, P1REINHARD H, 1989, EQUATIONS DIFFERENTIROBERTS PH, 1967, INTRO MAGNETOHYDRODY, P22ROKHLIN V, 1985, J COMPUT PHYS, V60, P187STEFANI F, 2000, ASTRON NACHR, V321, P65XU M, 2004, J COMPUT PHYS, V196, P102