On Ohm’s law in reduced plasma fluid models

Dudson, Benjamin D.; Newton, S. L.; Omotani, J. T.; Birch, J.

doi:10.1088/1361-6587/ac2af9

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

Abstract

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.

Authors:

^[1]; Newton, S. L. ^[2];

^[2]; Birch, J. ^[3]

Univ. of York (United Kingdom); Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Culham Centre for Fusion Energy, Oxon (United Kingdom)
Culham Centre for Fusion Energy, Oxon (United Kingdom); Univ. of Exeter (United Kingdom)

Publication Date:: 2021-10-26

Research Org.:: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA)

OSTI Identifier:: 1840134

Report Number(s):: LLNL-JRNL-826562
Journal ID: ISSN 0741-3335; 1041291; TRN: US2301180

Grant/Contract Number:: AC52-07NA27344

Resource Type:: Accepted Manuscript

Journal Name:: Plasma Physics and Controlled Fusion

Additional Journal Information:: Journal Volume: 63; Journal Issue: 12; Journal ID: ISSN 0741-3335

Publisher:: IOP Science

Country of Publication:: United States

Language:: English

Subject:: 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; dispersion; fluid model; tokamak edge; numerical simulation; Ohm’s law

Citation Formats


                    Dudson, Benjamin D., Newton, S. L., Omotani, J. T., and Birch, J.. On Ohm’s law in reduced plasma fluid models.  United States: N. p., 2021. 
Web.  doi:10.1088/1361-6587/ac2af9.

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                    Dudson, Benjamin D., Newton, S. L., Omotani, J. T., & Birch, J.. On Ohm’s law in reduced plasma fluid models.  United States.  https://doi.org/10.1088/1361-6587/ac2af9

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                    Dudson, Benjamin D., Newton, S. L., Omotani, J. T., and Birch, J.. Tue .  
"On Ohm’s law in reduced plasma fluid models".  United States.  https://doi.org/10.1088/1361-6587/ac2af9.  https://www.osti.gov/servlets/purl/1840134.

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@article{osti_1840134,

  title        = {On Ohm’s law in reduced plasma fluid models},

  author       = {Dudson, Benjamin D. and Newton, S. L. and Omotani, J. T. and Birch, J.},

  abstractNote = {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.},

  doi          = {10.1088/1361-6587/ac2af9},

  journal      = {Plasma Physics and Controlled Fusion},

  number       = 12,

  volume       = 63,

  place        = {United States},

  year         = {2021},

  month        = {10}

}

Copy to clipboard

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Works referenced in this record:

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Reduced MHD equations for mirror machines
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Three dimensional simulations of plasma filaments in the scrape off layer: A comparison with models of reduced dimensionality
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Application of Parallel Implicit Methods to Edge-Plasma Numerical Simulations
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Three-dimensional plasma edge turbulence simulations of the Mega Ampere Spherical Tokamak and comparison with experimental measurements
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Simulations of drift resistive ballooning L-mode turbulence in the edge plasma of the DIII-D tokamak
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Title: On Ohm’s law in reduced plasma fluid models

Abstract

Citation Formats

Nonlinear, three-dimensional magnetohydrodynamics of noncircular tokamaks journal, January 1976

Hamiltonian four-field model for nonlinear tokamak dynamics journal, January 1987

Numerical studies of nonlinear evolution of kink modes in tokamaks journal, January 1976

Collisional drift fluid equations and implications for drift waves journal, January 1996

Interplanetary and interstellar plasma turbulence journal, March 2007

Shell Models of RMHD Turbulence and the Heating of Solar Coronal Loops journal, June 2007

Fluid formalism for collisionless magnetized plasmas journal, May 2005

Numerical investigation of isolated filament motion in a realistic tokamak geometry journal, September 2015

Shear-Alfvén dynamics of toroidally confined plasmas journal, May 1985

BOUT++: A framework for parallel plasma fluid simulations journal, September 2009

Modeling of large amplitude plasma blobs in three-dimensions journal, January 2014

Dynamics of scrape-off layer filaments in high β plasmas journal, September 2019

TOKAM-3D: A 3D fluid code for transport and turbulence in the edge plasma of Tokamaks journal, January 2010

Upstream and divertor ion temperature measurements on MAST by retarding field energy analyser journal, May 2012

Three-dimensional computation of drift Alfvén turbulence journal, October 1997

Is it necessary to resolve the Debye length in standard or δ f PIC codes? journal, May 2020

Simulation of plasma turbulence in scrape-off layer conditions: the GBS code, simulation results and code validation journal, November 2012

Nonlinear reduced fluid equations for toroidal plasmas journal, January 1984

A generalized reduced fluid model with finite ion-gyroradius effects journal, January 1986

Electromagnetic effects on dynamics of high-beta filamentary structures journal, January 2015

Ion temperature measurements of L-mode filaments in MAST by retarding field energy analyser journal, February 2016

Reduced MHD equations for mirror machines journal, July 1982

Three dimensional simulations of plasma filaments in the scrape off layer: A comparison with models of reduced dimensionality journal, December 2014

Gyrokinetic particle simulation model journal, September 1987

Application of Parallel Implicit Methods to Edge-Plasma Numerical Simulations journal, January 2002

Transport Equations of Plasma in a Curvilinear Magnetic Field journal, January 1984

Generalized reduced magnetohydrodynamic equations journal, December 1998

Status and verification of edge plasma turbulence code BOUT journal, June 2009

�ber die partiellen Differenzengleichungen der mathematischen Physik journal, December 1928

Energy-conserving finite-β electromagnetic drift-fluid equations journal, September 2005

Three-dimensional plasma edge turbulence simulations of the Mega Ampere Spherical Tokamak and comparison with experimental measurements journal, August 2019

Simulations of drift resistive ballooning L-mode turbulence in the edge plasma of the DIII-D tokamak journal, May 2013

Drift-ordered fluid equations for field-aligned modes in low-β collisional plasma with equilibrium pressure pedestals journal, December 2003

Revisited global drift fluid model for linear devices journal, July 2012

Heating of the Solar Chromosphere and Corona by AlfvÉN wave Turbulence journal, June 2011

Review of implicit methods for the magnetohydrodynamic description of magnetically confined plasmas journal, February 2012

SUNDIALS: Suite of nonlinear and differential/algebraic equation solvers journal, September 2005

Nonlinear, three-dimensional magnetohydrodynamics of noncircular tokamaks
journal, January 1976

Hamiltonian four-field model for nonlinear tokamak dynamics
journal, January 1987

Numerical studies of nonlinear evolution of kink modes in tokamaks
journal, January 1976

Collisional drift fluid equations and implications for drift waves
journal, January 1996

Interplanetary and interstellar plasma turbulence
journal, March 2007

Shell Models of RMHD Turbulence and the Heating of Solar Coronal Loops
journal, June 2007

Fluid formalism for collisionless magnetized plasmas
journal, May 2005

Numerical investigation of isolated filament motion in a realistic tokamak geometry
journal, September 2015

Shear-Alfvén dynamics of toroidally confined plasmas
journal, May 1985

BOUT++: A framework for parallel plasma fluid simulations
journal, September 2009

Modeling of large amplitude plasma blobs in three-dimensions
journal, January 2014

Dynamics of scrape-off layer filaments in high β plasmas
journal, September 2019

TOKAM-3D: A 3D fluid code for transport and turbulence in the edge plasma of Tokamaks
journal, January 2010

Upstream and divertor ion temperature measurements on MAST by retarding field energy analyser
journal, May 2012

Three-dimensional computation of drift Alfvén turbulence
journal, October 1997

Is it necessary to resolve the Debye length in standard or δ f PIC codes?
journal, May 2020

Simulation of plasma turbulence in scrape-off layer conditions: the GBS code, simulation results and code validation
journal, November 2012

Nonlinear reduced fluid equations for toroidal plasmas
journal, January 1984

A generalized reduced fluid model with finite ion-gyroradius effects
journal, January 1986

Electromagnetic effects on dynamics of high-beta filamentary structures
journal, January 2015

Ion temperature measurements of L-mode filaments in MAST by retarding field energy analyser
journal, February 2016

Reduced MHD equations for mirror machines
journal, July 1982

Three dimensional simulations of plasma filaments in the scrape off layer: A comparison with models of reduced dimensionality
journal, December 2014

Gyrokinetic particle simulation model
journal, September 1987

Application of Parallel Implicit Methods to Edge-Plasma Numerical Simulations
journal, January 2002

Transport Equations of Plasma in a Curvilinear Magnetic Field
journal, January 1984

Generalized reduced magnetohydrodynamic equations
journal, December 1998

Status and verification of edge plasma turbulence code BOUT
journal, June 2009

�ber die partiellen Differenzengleichungen der mathematischen Physik
journal, December 1928

Energy-conserving finite-β electromagnetic drift-fluid equations
journal, September 2005

Three-dimensional plasma edge turbulence simulations of the Mega Ampere Spherical Tokamak and comparison with experimental measurements
journal, August 2019

Simulations of drift resistive ballooning L-mode turbulence in the edge plasma of the DIII-D tokamak
journal, May 2013

Drift-ordered fluid equations for field-aligned modes in low-β collisional plasma with equilibrium pressure pedestals
journal, December 2003

Revisited global drift fluid model for linear devices
journal, July 2012

Heating of the Solar Chromosphere and Corona by AlfvÉN wave Turbulence
journal, June 2011

Review of implicit methods for the magnetohydrodynamic description of magnetically confined plasmas
journal, February 2012

SUNDIALS: Suite of nonlinear and differential/algebraic equation solvers
journal, September 2005