Benchmarking NIMROD continuum kinetic formulations through the steady-state poloidal flow

Jepson, Joseph; Hegna, C. C.; Held, Eric; Spencer, J. Andrew; Lyons, Brendan

doi:10.1063/5.0054978

Cited by 4 publications

(4 citation statements)

References 31 publications

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“…It is also notable that the finite element basis used in Refs. [18] and [19] makes the convergence faster than the Legendre polynomial basis.…”

Section: Discussionmentioning

confidence: 99%

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Moment-Fourier approach to ion parallel fluid closures and transport for a toroidally confined plasma

Ji¹,

Held²,

Spencer³

et al. 2023

Preprint

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A general method of solving the drift kinetic equation is developed for an axisymmetric magnetic field. Expanding a distribution function in general moments a set of ordinary differential equations are obtained. Successively expanding the moments and magnetic-field involved quantities in Fourier series, a set of linear algebraic equations is obtained. The set of full (Maxwellian and non-Maxwellian) moment equations is solved to express the density, temperature, and flow velocity perturbations in terms of radial gradients of equilibrium pressure and temperature. Closure relations that connect parallel heat flux density and viscosity to the radial gradients and parallel gradients of temperature and flow velocity, are also obtained by solving the non-Maxwellian moment equations. The closure relations combined with the linearized fluid equations reproduce the same solution obtained directly from the full moment equations. The method can be generalized to derive closures and transport for an electron-ion plasma and a multi-ion plasma in a general magnetic field.

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“…It is also notable that the finite element basis used in Refs. [18] and [19] makes the convergence faster than the Legendre polynomial basis.…”

Section: Discussionmentioning

confidence: 99%

“…Numerical work may adopt the Landau (Fokker-Planck) collision operator with desired accuracy by increasing velocity space resolution. Numerous transport codes have been developed to solve the continuum drift kinetic equation with a modified [12,13] or an exact Landau collision operator [14][15][16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Moment-Fourier approach to ion parallel fluid closures and transport for a toroidally confined plasma

Ji¹,

Held²,

Spencer³

et al. 2023

Preprint

View full text Add to dashboard Cite

show abstract

“…The results in the collisionless limit will be presented in the near future, too. It is also notable that the finite element basis used in [18,19] makes the convergence faster than the Legendre polynomial basis.…”

Section: Discussionmentioning

confidence: 99%

“…by increasing velocity space resolution. Numerous transport codes have been developed to solve the continuum drift kinetic equation with a modified [12,13] or an exact Landau collision operator [14][15][16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Moment-Fourier approach to ion parallel fluid closures and transport for a toroidally confined plasma

Ji¹,

Held²,

Spencer³

et al. 2023

Plasma Phys. Control. Fusion

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A general method of solving the drift kinetic equation is developed for an axisymmetric magnetic ﬁeld. Expanding a distribution function in general moments a set of ordinary diﬀerential equations are obtained. Successively expanding the moments and magnetic-ﬁeld involved quantities in Fourier series, a set of linear algebraic equations is obtained. The set of full (Maxwellian and non-Maxwellian) moment equations is solved to express the density, temperature, and ﬂow velocity perturbations in terms of radial gradients of equilibrium pressure and temperature. Closure relations that connect parallel heat ﬂux density and viscosity to the radial gradients and parallel gradients of temperature and ﬂow velocity, are also obtained by solving the non-Maxwellian moment equations. The closure relations combined with the linearized ﬂuid equations reproduce the same solution obtained directly from the full moment equations. The method can be generalized to derive closures and transport for an electron-ion plasma and a multi-ion plasma in a general

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An analysis and successful benchmarking of the Chapman-Enskog-like (CEL) continuum kinetic closure approach algorithm in NIMROD

Jepson,

Hegna,

Held

et al. 2025

Computer Physics Communications

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Benchmarking NIMROD continuum kinetic formulations through the steady-state poloidal flow

Cited by 4 publications

References 31 publications

Moment-Fourier approach to ion parallel fluid closures and transport for a toroidally confined plasma

Moment-Fourier approach to ion parallel fluid closures and transport for a toroidally confined plasma

Moment-Fourier approach to ion parallel fluid closures and transport for a toroidally confined plasma

An analysis and successful benchmarking of the Chapman-Enskog-like (CEL) continuum kinetic closure approach algorithm in NIMROD

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