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

McGregor, D. A.; Robinson, A. C.

doi:10.1016/j.camwa.2018.10.012

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

Journal Article · 01 July 2019 · Computers and Mathematics with Applications (Oxford)

DOI:https://doi.org/10.1016/j.camwa.2018.10.012· OSTI ID:1989755

; Robinson, A. C.

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.

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Research Organization:: Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: 092030326; 014081218; AC04-94AL85000

OSTI ID:: 1989755

Alternate ID(s):: OSTI ID: 1485817; OSTI ID: 1636881

Report Number(s):: SAND-2018-12683J; S0898122118306072; PII: S0898122118306072

Journal Information:: Computers and Mathematics with Applications (Oxford), Journal Name: Computers and Mathematics with Applications (Oxford) Vol. 78 Journal Issue: 2; ISSN 0898-1221

Publisher:: ElsevierCopyright Statement

Country of Publication:: United Kingdom

Language:: English

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Cited by: 3 works

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References (17)

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

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