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Title: On Ohm’s law in reduced plasma fluid models

Journal Article · · Plasma Physics and Controlled Fusion
ORCiD logo [1];  [2]; ORCiD logo [2];  [3]
  1. Univ. of York (United Kingdom); Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  2. Culham Centre for Fusion Energy, Oxon (United Kingdom)
  3. Culham Centre for Fusion Energy, Oxon (United Kingdom); Univ. of Exeter (United Kingdom)

Drift-reduced MHD models are widely used to study magnetised plasma phenomena, in particular for magnetically confined fusion applications, as well as in solar and astrophysical research. This letter discusses the choice of Ohm's law in these models, the resulting dispersion relations for the dynamics parallel to the magnetic field, and the implications for numerical simulations. We find that if electron pressure is included in Ohm's law, then both electromagnetic and finite electron mass effects must also be included in order to obtain physical dispersion relations. A simple modification to the plasma vorticity is also found which improves handling of low density regions, of particular relevance to the simulation of the boundary region of magnetised plasmas.

Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
AC52-07NA27344
OSTI ID:
1840134
Report Number(s):
LLNL-JRNL--826562; 1041291
Journal Information:
Plasma Physics and Controlled Fusion, Journal Name: Plasma Physics and Controlled Fusion Journal Issue: 12 Vol. 63; ISSN 0741-3335
Publisher:
IOP ScienceCopyright Statement
Country of Publication:
United States
Language:
English

References (37)

Upstream and divertor ion temperature measurements on MAST by retarding field energy analyser journal May 2012
Numerical studies of nonlinear evolution of kink modes in tokamaks journal January 1976
TOKAM-3D: A 3D fluid code for transport and turbulence in the edge plasma of Tokamaks journal January 2010
Simulations of drift resistive ballooning L-mode turbulence in the edge plasma of the DIII-D tokamak journal May 2013
Modeling of large amplitude plasma blobs in three-dimensions journal January 2014
Gyrokinetic particle simulation model journal September 1987
Revisited global drift fluid model for linear devices journal July 2012
BOUT++: A framework for parallel plasma fluid simulations journal September 2009
Ion temperature measurements of L-mode filaments in MAST by retarding field energy analyser journal February 2016
Interplanetary and interstellar plasma turbulence journal March 2007
Review of implicit methods for the magnetohydrodynamic description of magnetically confined plasmas journal February 2012
Three dimensional simulations of plasma filaments in the scrape off layer: A comparison with models of reduced dimensionality journal December 2014
�ber die partiellen Differenzengleichungen der mathematischen Physik journal December 1928
SUNDIALS: Suite of nonlinear and differential/algebraic equation solvers journal September 2005
Collisional drift fluid equations and implications for drift waves journal January 1996
Simulation of plasma turbulence in scrape-off layer conditions: the GBS code, simulation results and code validation journal November 2012
Heating of the Solar Chromosphere and Corona by AlfvÉN wave Turbulence journal June 2011
Three-dimensional computation of drift Alfvén turbulence journal October 1997
Reduced MHD equations for mirror machines journal July 1982
Dynamics of scrape-off layer filaments in high β plasmas journal September 2019
Numerical investigation of isolated filament motion in a realistic tokamak geometry journal September 2015
Status and verification of edge plasma turbulence code BOUT journal June 2009
Shell Models of RMHD Turbulence and the Heating of Solar Coronal Loops journal June 2007
Electromagnetic effects on dynamics of high-beta filamentary structures journal January 2015
Shear-Alfvén dynamics of toroidally confined plasmas journal May 1985
Nonlinear reduced fluid equations for toroidal plasmas journal January 1984
Transport Equations of Plasma in a Curvilinear Magnetic Field journal January 1984
Drift-ordered fluid equations for field-aligned modes in low-β collisional plasma with equilibrium pressure pedestals journal December 2003
Energy-conserving finite-β electromagnetic drift-fluid equations journal September 2005
Is it necessary to resolve the Debye length in standard or δ f PIC codes? journal May 2020
Hamiltonian four-field model for nonlinear tokamak dynamics journal January 1987
Nonlinear, three-dimensional magnetohydrodynamics of noncircular tokamaks journal January 1976
A generalized reduced fluid model with finite ion-gyroradius effects journal January 1986
Generalized reduced magnetohydrodynamic equations journal December 1998
Three-dimensional plasma edge turbulence simulations of the Mega Ampere Spherical Tokamak and comparison with experimental measurements journal August 2019
Application of Parallel Implicit Methods to Edge-Plasma Numerical Simulations journal January 2002
Fluid formalism for collisionless magnetized plasmas journal May 2005