Fluid/kinetic hybrid moment description of plasmas via a Chapman–Enskog-like approach

Wang, J. P.; Callen, J. D.

doi:10.1063/1.860122

Fluid/kinetic hybrid moment description of plasmas via a Chapman–Enskog-like approach

Journal Article · Fri May 01 00:00:00 EDT 1992 · Physics of Fluids. B, Plasma Physics

DOI:https://doi.org/10.1063/1.860122· OSTI ID:5838324

Wang, J. P. ^[1]; Callen, J. D. ^[1]

Univ. of Wisconsin, Madison, WI (United States)

Here, a combined fluid and kinetic description of magnetically confined plasmas is developed via a Chapman–Enskog-like procedure. This approach uses the density, energy, momentum, and heat flow conservation equations, and the kinetic equation to recast the plasma kinetic equation with a full Fokker–Planck collision operator into an equation for F, the departure of the distribution function from a ‘‘dynamic’’ Maxwellian. A density, momentum, and energy conserving collision operator model is adopted in deriving the final form of the recast kinetic equation. Both general and drift-kinetic forms of the kinetic equation for F are presented. Closure of the fluid moment equations through calculation of the anisotropic stress tensor Π and anisotropic heat stress tensor Θ using the kinetic solution for F is discussed.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Wisconsin, Madison, WI (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: FG02-86ER53218

OSTI ID:: 5838324

Alternate ID(s):: OSTI ID: 7105157

Report Number(s):: UW-CPTC--90-8-Rev.; ON: DE91013346

Journal Information:: Physics of Fluids. B, Plasma Physics, Journal Name: Physics of Fluids. B, Plasma Physics Journal Issue: 5 Vol. 4; ISSN 0899-8221

Publisher:: American Institute of PhysicsCopyright Statement

Country of Publication:: United States

Language:: English

References (23)

Note onN-dimensional hermite polynomials Grad, Harold Communications on Pure and Applied Mathematics, Vol. 2, Issue 4 https://doi.org/10.1002/cpa.3160020402	journal	December 1949
On the kinetic theory of rarefied gases Grad, Harold Communications on Pure and Applied Mathematics, Vol. 2, Issue 4 https://doi.org/10.1002/cpa.3160020403	journal	December 1949
Adiabatic invariants and the equilibrium of magnetically trapped particles Hastie, R. J.; Taylor, J. B.; Haas, F. A. Annals of Physics, Vol. 41, Issue 2 https://doi.org/10.1016/0003-4916(67)90237-0	journal	February 1967
Drift Instabilities in General Magnetic Field Configurations Rutherford, P. H. Physics of Fluids, Vol. 11, Issue 3 https://doi.org/10.1063/1.1691954	journal	January 1968
Collisional Diffusion in Nonaxisymmetric Toroidal Systems Frieman, E. A. Physics of Fluids, Vol. 13, Issue 2 https://doi.org/10.1063/1.1692944	journal	January 1970
Amplitude Limitation of a Collisional Drift Wave Instability Hinton, F. L. Physics of Fluids, Vol. 14, Issue 1 https://doi.org/10.1063/1.1693260	journal	January 1971
Plasma Transport in Toroidal Confinement Systems Rosenbluth, M. N. Physics of Fluids, Vol. 15, Issue 1 https://doi.org/10.1063/1.1693728	journal	January 1972
Extending the collisional fluid equations into the long mean‐free‐path regime in toroidal plasmas. I. Plasma viscosity Shaing, K. C.; Spong, D. A. Physics of Fluids B: Plasma Physics, Vol. 2, Issue 6 https://doi.org/10.1063/1.859255	journal	June 1990
Unified fluid/kinetic description of plasma microinstabilities. Part I: Basic equations in a sheared slab geometry Chang, Zuoyang; Callen, J. D. Physics of Fluids B: Plasma Physics, Vol. 4, Issue 5 https://doi.org/10.1063/1.860125	journal	May 1992
Nonlinear, three-dimensional magnetohydrodynamics of noncircular tokamaks Strauss, H. R. Physics of Fluids, Vol. 19, Issue 1 https://doi.org/10.1063/1.861310	journal	January 1976
Moment equation approach to neoclassical transport theory Hirshman, Steven P. Physics of Fluids, Vol. 21, Issue 2 https://doi.org/10.1063/1.862195	journal	January 1978
Nonlinear interaction of tearing modes in highly resistive tokamaks Waddell, B. V.; Carreras, B.; Hicks, H. R. Physics of Fluids, Vol. 22, Issue 5 https://doi.org/10.1063/1.862685	journal	January 1979
Kinetic equations for low frequency instabilities in inhomogeneous plasmas Antonsen, Thomas M.; Lane, Barton Physics of Fluids, Vol. 23, Issue 6 https://doi.org/10.1063/1.863121	journal	January 1980
Calculation of parallel viscosity in the plateau regime Shaing, K. C.; Callen, J. D. The Physics of Fluids, Vol. 26, Issue 6 https://doi.org/10.1063/1.864329	journal	June 1983
A pressure-gradient-driven tokamak ‘‘resistive magnetohydrodynamic’’ instability in the banana-plateau collisionality regime Callen, J. D.; Shaing, K. C. The Physics of Fluids, Vol. 28, Issue 6 https://doi.org/10.1063/1.864928	journal	June 1985
A generalized reduced fluid model with finite ion-gyroradius effects Hsu, C. T.; Hazeltine, R. D.; Morrison, P. J. Physics of Fluids, Vol. 29, Issue 5 https://doi.org/10.1063/1.865665	journal	January 1986
Neoclassical transport of impurities in tokamak plasmas Hirshman, S. P.; Sigmar, D. J. Nuclear Fusion, Vol. 21, Issue 9 https://doi.org/10.1088/0029-5515/21/9/003	journal	September 1981
Stability of general plasma equilibria - I formal theory Taylor, J. B.; Hastie, R. J. Plasma Physics, Vol. 10, Issue 5 https://doi.org/10.1088/0032-1028/10/5/301	journal	January 1968
Recursive derivation of drift-kinetic equation Hazeltine, R. D. Plasma Physics, Vol. 15, Issue 1 https://doi.org/10.1088/0032-1028/15/1/009	journal	January 1973
The drift kinetic equation for toroidal plasmas with large mass velocities Hazeltine, R. D.; Ware, A. A. Plasma Physics, Vol. 20, Issue 7 https://doi.org/10.1088/0032-1028/20/7/005	journal	July 1978
Fokker-Planck Equation for an Inverse-Square Force Rosenbluth, Marshall N.; MacDonald, William M.; Judd, David L. Physical Review, Vol. 107, Issue 1 https://doi.org/10.1103/PhysRev.107.1	journal	July 1957
Dynamical Equations and Transport Relationships for a Thermal Plasma Herdan, R.; Liley, B. S. Reviews of Modern Physics, Vol. 32, Issue 4 https://doi.org/10.1103/RevModPhys.32.731	journal	October 1960
Theory of plasma transport in toroidal confinement systems Hinton, F. L.; Hazeltine, R. D. Reviews of Modern Physics, Vol. 48, Issue 2 https://doi.org/10.1103/RevModPhys.48.239	journal	April 1976

Similar Records

Fluid/kinetic hybrid moment description of plasmas via a Chapman--Enskog-like approach

Journal Article · Fri May 01 00:00:00 EDT 1992 · Physics of Fluids B; (United States) · OSTI ID:7105157

Fluid/kinetic hybrid moment description of plasmas via a Chapman-Enskog-like approach

Technical Report · Thu Feb 28 23:00:00 EST 1991 · OSTI ID:5906016

Related Subjects

640410 -- Fluid Physics-- General Fluid Dynamics
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700103* -- Fusion Energy-- Plasma Research-- Kinetics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
Chapman-Enskog theory
Fokker-Planck equation
confinement
differential equations
distribution functions
equations
flow models
functions
kinetic equations
magnetic confinement
mathematical models
partial differential equations
plasma
plasma confinement
plasma drift
tensor forces

Fluid/kinetic hybrid moment description of plasmas via a Chapman–Enskog-like approach

Citation Formats

References (23)

Similar Records

Related Subjects