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Title: An indirect ALE discretization of single fluid plasma without a fast magnetosonic time step restriction

Abstract

Here in this paper we present an adjustment to traditional ALE discretizations of resistive MHD where we do not neglect the time derivative of the electric displacement field. This system is referred to variously as a perfect electromagnetic fluid or a single fluid plasma although we refer to the system as Full Maxwell Hydrodynamics (FMHD) in order to evoke its similarities to resistive Magnetohydrodynamics (MHD). Unlike the MHD system the characteristics of this system do not become arbitrarily large in the limit of low densities. In order to take advantage of these improved characteristics of the system we must tightly couple the electromagnetics into the Lagrangian motion and do away with more traditional operator splitting. We provide a number of verification tests to demonstrate both accuracy of the method and an asymptotic preserving (AP) property. In addition we present a prototype calculation of a Z-pinch and find very good agreement between our algorithm and resistive MHD. Further, FMHD leads to a large performance gain (approximately 4.6x speed up) compared to resistive MHD. We unfortunately find our proposed algorithm does not conserve charge leaving us with an open problem.

Authors:
ORCiD logo [1];  [1]
  1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States). Computational Multiphysics Dept.
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1485817
Report Number(s):
SAND-2018-12683J
Journal ID: ISSN 0898-1221; 669853
Grant/Contract Number:  
AC04-94AL85000
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Computers and Mathematics with Applications (Oxford)
Additional Journal Information:
Journal Name: Computers and Mathematics with Applications (Oxford); Journal ID: ISSN 0898-1221
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; ALE methods; Resistive MHD; Maxwell’s equations; Shock hydrodynamics

Citation Formats

McGregor, Duncan Alisdair Odum, and Robinson, Allen C. An indirect ALE discretization of single fluid plasma without a fast magnetosonic time step restriction. United States: N. p., 2018. Web. doi:10.1016/j.camwa.2018.10.012.
McGregor, Duncan Alisdair Odum, & Robinson, Allen C. An indirect ALE discretization of single fluid plasma without a fast magnetosonic time step restriction. United States. doi:10.1016/j.camwa.2018.10.012.
McGregor, Duncan Alisdair Odum, and Robinson, Allen C. Fri . "An indirect ALE discretization of single fluid plasma without a fast magnetosonic time step restriction". United States. doi:10.1016/j.camwa.2018.10.012.
@article{osti_1485817,
title = {An indirect ALE discretization of single fluid plasma without a fast magnetosonic time step restriction},
author = {McGregor, Duncan Alisdair Odum and Robinson, Allen C.},
abstractNote = {Here in this paper we present an adjustment to traditional ALE discretizations of resistive MHD where we do not neglect the time derivative of the electric displacement field. This system is referred to variously as a perfect electromagnetic fluid or a single fluid plasma although we refer to the system as Full Maxwell Hydrodynamics (FMHD) in order to evoke its similarities to resistive Magnetohydrodynamics (MHD). Unlike the MHD system the characteristics of this system do not become arbitrarily large in the limit of low densities. In order to take advantage of these improved characteristics of the system we must tightly couple the electromagnetics into the Lagrangian motion and do away with more traditional operator splitting. We provide a number of verification tests to demonstrate both accuracy of the method and an asymptotic preserving (AP) property. In addition we present a prototype calculation of a Z-pinch and find very good agreement between our algorithm and resistive MHD. Further, FMHD leads to a large performance gain (approximately 4.6x speed up) compared to resistive MHD. We unfortunately find our proposed algorithm does not conserve charge leaving us with an open problem.},
doi = {10.1016/j.camwa.2018.10.012},
journal = {Computers and Mathematics with Applications (Oxford)},
issn = {0898-1221},
number = ,
volume = ,
place = {United States},
year = {2018},
month = {11}
}

Journal Article:
Free Publicly Available Full Text
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