A physical model for computing fluid flow solutions

A physical and mathematical scheme is described which can be the basis for the construction of a computer program designed to solve fluid flow problems important to the U.S. Army. Essentially the scheme consists of the determination of contributions of moments of physical quantities over Lagrangian cells of fluid, which move according to the local fluid velocity to neighboring fixed cells. Based on the sums of these contributions of moments, new distributions across the fixed cells are determined which correspond to fluid flow during an elapse of a finite interval of time. The moments of the physical quantities over subregions of the Lagrangian cells are evaluated by utilizing a set of integral equations which are derived in the report.