A particle fluid model, first recommended by von Neumann for the study of shock waves, is reformulated and implemented. A particular fluid is constructed by the computer and is shown to have such basic physical properties ...

In previous work, a new type of numerical method for the solution of equations of motion was derived, denoted "discrete mechanics", which has the unique property of conserving the additive constants of motion exactly. The ...

In this paper a new computer approach to the study of the interactions of particles with differing masses is applied to the study of planetary type evolution. The formulation contains an inherent self-reorganization ...

A new algorithm, which is exceptionally fast for certain choices of numerical parameters, is described for the study of nonlinear, incompressible flow between two rotating disks. Typical examples for Reynolds number R in ...

In the integration of the equations of motion of a system of particles, conventional numerical methods generate an error in the total energy of the same order as the truncation error. A simple modification of these methods ...

A new particle approach for the study of solids is developed. The basic forces included are gravity and interparticle attraction and repulsion. Triangular and rectangular bodies are generated on the UNIVAC 1110 and various ...

This paper presents some recent computer studies of a von Neumann type fluid. The particular model and the discrete dynamical equations utilized are described in detail and various results from fluid mechanics and statistical ...

Conventional numerical methods, when applied to the ordinary differential equations of motion of classical mechanics, conserve the total energy and angular momentum only to the order of the truncation error. Since these ...

A new numerical method is developed for the solution of steady state, viscous, incompressible flow between two rotating spheres. The Navier-Stokes equations are approximated by a triple sequence of linear problems, each ...