Title of article :
Poloidal–toroidal decomposition in a finite cylinder. I: Influence matrices for the magnetohydrodynamic equations
Author/Authors :
Boronski، نويسنده , , Piotr and Tuckerman، نويسنده , , Laurette S.، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2007
Pages :
21
From page :
1523
To page :
1543
Abstract :
The Navier–Stokes equations and magnetohydrodynamics equations are written in terms of poloidal and toroidal potentials in a finite cylinder. This formulation insures that the velocity and magnetic fields are divergence-free by construction, but leads to systems of partial differential equations of higher order, whose boundary conditions are coupled. The influence matrix technique is used to transform these systems into decoupled parabolic and elliptic problems. The magnetic field in the induction equation is matched to that in an exterior vacuum by means of the Dirichlet-to-Neumann mapping, thus eliminating the need to discretize the exterior. The influence matrix is scaled in order to attain an acceptable condition number.
Keywords :
Matrix conditioning , compatibility conditions , Finite cylinder , Dirichlet-to-Neumann mapping , Poloidal–toroidal , Influence matrix , Magnetohydrodynamics , Divergence-free
Journal title :
Journal of Computational Physics
Serial Year :
2007
Journal title :
Journal of Computational Physics
Record number :
1480398
Link To Document :
بازگشت