Theory of Correspondence Between Fluid Dymanics and Particle-and-force Models

📖 The Scoop

Particle-and-Force models for high-speed-computer calculations of fluid dynamics problems have several conceptual advantages over most presently used techniques; in addition, test calculations with several versions have indicated considerable promise for wide application. For these reasons, the analysis presented here was undertaken to demonstrate the basis for expecting success in one class of such models (the completely statistical class) and in addition to show how to choose the interparticle force function to correspond to a given material equation of state. The method of analysis employs a many-particle distribution function equation whose reduction is accomplished through the assumption of two-body forces and of strong correlations with the mean. Primary results include correspondence equations between conservative force function and equation of state, and between dissipative force function and viscous stress. Solutions are given for the first type of correspondence equation, and comparisons are made with previous heuristic studies.

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