New numerical strategy to evaluate the collision integral of the Boltzmann equation

Conference · Thu Dec 31 23:00:00 EST 1987

OSTI ID:6317599

Tan, Zhiqiang; Chen, Yhi-Kanq; Varghese, P L; Howell, J R

A new scheme for the calculation of the collision integral of the nonlinear Boltzmann kinetic equation is presented, based on a piecewise constant discrete approximation of the distribution function in phase space and corresponding precalculated collision rate coefficients. The computing effort required for evaluation of the fivefold collision integral is significantly reduced by the use of precalculated rate coefficients. The method was combined with the conservative splitting method to solve the Boltzmann equation for a number of test cases to examine the performance of this method and demonstrate its efficiency. 10 refs., 6 figs.

• Research Organization: Texas Univ., Austin (USA)
• DOE Contract Number: FG05-87ER13735
• OSTI ID: 6317599
• Report Number(s): CONF-880781-3; ON: DE89010161
• Country of Publication: United States
• Language: English

Related Subjects

640410 -- Fluid Physics-- General Fluid Dynamics
657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BOLTZMANN EQUATION
COLLISION INTEGRALS
DIFFERENTIAL EQUATIONS
EQUATIONS
EVALUATION
FLUID FLOW
INTEGRALS
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
SHOCK WAVES
SUPERSONIC FLOW