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Now showing items 1-10 of 45

#### Fast Finite-Difference Solution of Biharmonic Problems

(University of Wisconsin-Madison Department of Computer Sciences, 1970)

#### Computer Studies of a von Neumann Type Fluid

(University of Wisconsin-Madison Department of Computer Sciences, 1975)

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 ...

#### Discrete Mechanims for Anisotropic Potentials

(University of Wisconsin-Madison Department of Computer Sciences, 1974)

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 ...

#### Computer Studies of Planetary-Type Evolution

(University of Wisconsin-Madison Department of Computer Sciences, 1977)

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 ...

#### Numerical Studies of Flow Between Rotating Coaxial Disks

(University of Wisconsin-Madison Department of Computer Sciences, 1971)

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 ...

#### An Energy Conserving Modification of Numerical Methods for the Integration of Equations of Motion

(University of Wisconsin-Madison Department of Computer Sciences, 1974)

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 ...

#### Computer Generation of Particle Solids

(University of Wisconsin-Madison Department of Computer Sciences, 1976)

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 ...

#### New Investigations of Von Neumann Type Fluids

(University of Wisconsin-Madison Department of Computer Sciences, 1978)

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 ...

#### Energy and Momentum Conserving Methods of Arbitrary Order For the Numerical Integration of Equations of Motion. I. Motion of a Single Particle

(University of Wisconsin-Madison Department of Computer Sciences, 1974)

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 ...

#### Numerical Studies of Steady, Viscous, Incompressible Flow Between Two Rotating Spheres

(University of Wisconsin-Madison Department of Computer Sciences, 1971)

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 ...