The Particle-and-force Computing Method for Fluid DynamicsLos Alamos Scientific Laboratory of the University of California, 1961 - Equations of state - 49 pages A fluid dynamic computing method is proposed in which the materials are represented by discrete particles interacting with one another by means of pair forces. Details of technique, accuracy, and stability are discussed in preliminary form. Results are presented of some simple tests of the method, and it is shown that even though considerable development effort is yet required, the method appears to have some desirable properties not present in any other. |
Contents
Description of the Method | 13 |
PAF in One Space Dimension | 29 |
PAF in Two Space Dimensions | 35 |
Copyright | |
Common terms and phrases
20 DISTANCE FIG adiabatic motion Alamos Scientific Laboratory alternative form angular momentum appropriate array of particles beginning of cycle Birkhoff and Lynch calculation are Number Cartesian coordinates cells compression configurational instability conservation Conservation of momentum constant coordinate lines Datum points difference differential equations difficulties dissipation dynamics energy conservation equations of motion Eulerian methods F ij fluid force function func gij force initially interaction internal energy interparticle distance j(subset kinetic energy lative lowest order machine calculation magnitude Mass per particle neighbors Number of particle one-dimensional PAF calculation partial differential equations polytropic gas procedure proposed rarefaction reciprocity rectangular array region represented requirement result right side set of particles show the true shown solid lines show solving sound speed space dimensions Specific heat ratio stability conditions sult techniques ticles tion total energy true solution values Velocity of particles viscosity Σ Σ