An Asymptotic Preserving Maxwell Solver Resulting in the Darwin Limit of Electrodynamics
Document Type
Article
Publication Date
6-2017
Department
Department of Mathematical Sciences
Abstract
In plasma simulations, where the speed of light divided by a characteristic length is at a much higher frequency than other relevant parameters in the underlying system, such as the plasma frequency, implicit methods begin to play an important role in generating efficient solutions in these multi-scale problems. Under conditions of scale separation, one can rescale Maxwell’s equations in such a way as to give a magneto static limit known as the Darwin approximation of electromagnetics. In this work, we present a new approach to solve Maxwell’s equations based on a Method of Lines Transpose (MOL T) formulation, combined with a fast summation method with computational complexity O(Nlog N) , where N is the number of grid points (particles). Under appropriate scaling, we show that the proposed schemes result in asymptotic preserving methods that can recover the Darwin limit of electrodynamics.
Publication Title
Journal of Scientific Computing
Recommended Citation
Cheng, Y.,
Christlieb, A.,
Guo, W.,
&
Ong, B.
(2017).
An Asymptotic Preserving Maxwell Solver Resulting in the Darwin Limit of Electrodynamics.
Journal of Scientific Computing,
71(3), 959-993.
http://doi.org/10.1007/s10915-016-0328-0
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/4953