Techniques for computing the numerical values of the matrix elements of the collision operator in the collisional plasma model

doi:10.2172/7350321

Abstract

A previous report (ORNL/TM-5314, (1976)) described the collision operator used in the CPM (Collisional Plasma Model), and presented a rigorous derivation of its matrix elements. This report is concerned with practical techniques for obtaining the numerical values of the matrix elements. It is intended primarily for those who must implement or understand a computer simulation based on the CPM.

Collisional plasma model: a velocity-space orthogonal-function representation for the distribution function of a collisional plasma

Meier, H. K. ; van Rij, W. I. ; Beasley, Jr., C. O. ; ... March 1976

A velocity-space orthogonal-function representation has been developed for the distribution function of a collisional plasma. The choice of functions is determined by several criteria: (1) the functions must provide an accurate representation of the Coulomb collision operator; (2) the representation must be efficient in that physical plasmas be represented by as few terms as possible in order to minimize both computer time and storage requirements; and (3) the collision and Vlasov operators must lead to simple expressions which can be rapidly and easily calculated. The collision operator in the representation used here is developed both for the nonlinear (general distributionmore »« less
DOI: 10.2172/7350322

Full Text Available
NUMERICAL COMPUTATION OF THE CHARACTERISTIC VALUES OF A REAL SYMMETRIC MATRIX

Givens, W. March 1954
DOI: 10.2172/4412175

Full Text Available
TENSOR METHODS. II. MATRIX ELEMENTS OF THE DECUPLET OPERATOR OF SU$sub 3$

Pandit, L.K. ; Mukunda, N. September 1964
Determination of the Physical Values of a Plasma Puff by Analysis of the Diamagnetic Signals. Part I. Expansion Model for the Puff. Part II. Comparison of Experimental Results with the Expansion Model for the Plasma Puff; DETERMINATION DES GRANDEURS PHYSIQUES D'UNE BOUFFEE DE PLASMA PAR L'ANALYSE DE SIGNAUX DIAMAGNETIQUES. PREMIERE PARTIE. MODELE D'EXPANSION DE BOUFFEE. DEUXIEME PARTIE. CONFRONTATION DES RESULTATS EXPERIMENTAUX ET DU MODELE D'EXPANSION DE LA BOUFFEE DE PLASMA

Jacquinot, J. ; Leloup, C. ; Waelbroeck, F. ; ... October 1964
Velocity Fourier transform solution of a model collision operator

Catto, P.J. February 1979

A model collision operator similar to the one first introduced by Chandrasekar is employed to obtain a kinetic equation for waves in a magnetized plasma that can be solved via a velocity Fourier transform technique.

Title: Techniques for computing the numerical values of the matrix elements of the collision operator in the collisional plasma model

Abstract

Citation Formats

Collisional plasma model: a velocity-space orthogonal-function representation for the distribution function of a collisional plasma

NUMERICAL COMPUTATION OF THE CHARACTERISTIC VALUES OF A REAL SYMMETRIC MATRIX

TENSOR METHODS. II. MATRIX ELEMENTS OF THE DECUPLET OPERATOR OF SU$sub 3$

Velocity Fourier transform solution of a model collision operator