Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
519438 | Journal of Computational Physics | 2013 | 16 Pages |
Abstract
In case of non-constant resistivity, cylindrical coordinates, and highly distorted polygonal meshes, a consistent discretization of the magnetic diffusion equations requires new discretization tools based on a discrete vector and tensor calculus. We developed a new discretization method using the mimetic finite difference framework. It is second-order accurate on arbitrary polygonal meshes and a consistent calculation of the Joule heating is intrinsic within it. The second-order convergence rates in L2L2 and L1L1 norms were verified with numerical experiments.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Konstantin Lipnikov, James Reynolds, Eric Nelson,