Accession Number : AD0641655

Title :   AN ANALYSIS OF THE TWO-DIMENSIONAL PARTICLE-IN-CELL METHOD,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Kaplan,M. A. ; Papetti,R. A.

Report Date : SEP 1966

Pagination or Media Count : 51

Abstract : Final results are given for an investigation of the nature of the errors that arise in the course of Particle-In-Cell (PIC) computation process. Among the important conclusions are that the dominant error terms bear only a casual relation to physical effects; that a pseudostress can be constructed that gives rise to the dominant errors in the momentum equation and to some of the errors in the energy equation associated with the gradients of the fluid velocity; and that the axisymmetric elements of the pseudostress suggest that the PIC equations contain errors that lead to effects associated with polar fluids. (Author)

Descriptors :   (*IMPACT SHOCK, *NUMERICAL METHODS AND PROCEDURES), HYPERVELOCITY PROJECTILES, NUCLEAR EXPLOSIONS, EXPLOSION EFFECTS, ERRORS, NUMERICAL INTEGRATION, PARTIAL DIFFERENTIAL EQUATIONS, MASS ENERGY RELATION, STRESSES

Subject Categories : Numerical Mathematics
      Explosions

Distribution Statement : APPROVED FOR PUBLIC RELEASE