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.
- Publication Date:
- Research Org.:
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1989755
- Alternate Identifier(s):
- OSTI ID: 1485817; OSTI ID: 1636881
- Report Number(s):
- SAND-2018-12683J
Journal ID: ISSN 0898-1221; S0898122118306072; PII: S0898122118306072
- Grant/Contract Number:
- 092030326; 014081218; AC04-94AL85000
- Resource Type:
- Published Article
- Journal Name:
- Computers and Mathematics with Applications (Oxford)
- Additional Journal Information:
- Journal Name: Computers and Mathematics with Applications (Oxford) Journal Volume: 78 Journal Issue: 2; Journal ID: ISSN 0898-1221
- Publisher:
- Elsevier
- Country of Publication:
- United Kingdom
- Language:
- English
- Subject:
- 97 MATHEMATICS AND COMPUTING; ALE methods; Resistive MHD; Maxwell’s equations; Shock hydrodynamics
Citation Formats
McGregor, D. A., and Robinson, A. C. An indirect ALE discretization of single fluid plasma without a fast magnetosonic time step restriction. United Kingdom: N. p., 2019.
Web. doi:10.1016/j.camwa.2018.10.012.
McGregor, D. A., & Robinson, A. C. An indirect ALE discretization of single fluid plasma without a fast magnetosonic time step restriction. United Kingdom. https://doi.org/10.1016/j.camwa.2018.10.012
McGregor, D. A., and Robinson, A. C. Mon .
"An indirect ALE discretization of single fluid plasma without a fast magnetosonic time step restriction". United Kingdom. https://doi.org/10.1016/j.camwa.2018.10.012.
@article{osti_1989755,
title = {An indirect ALE discretization of single fluid plasma without a fast magnetosonic time step restriction},
author = {McGregor, D. A. and Robinson, A. 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)},
number = 2,
volume = 78,
place = {United Kingdom},
year = {Mon Jul 01 00:00:00 EDT 2019},
month = {Mon Jul 01 00:00:00 EDT 2019}
}
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https://doi.org/10.1016/j.camwa.2018.10.012
https://doi.org/10.1016/j.camwa.2018.10.012
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