Accession Number : AD0761459

Title :   Numerical Experiments with the Two- and Three-Dimensional Unsteady Navier-Stokes Equations.

Descriptive Note : Technical rept.,

Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CALIF

Personal Author(s) : Hokenson,Gustave

Report Date : APR 1973

Pagination or Media Count : 80

Abstract : The two- and three-dimensional unsteady Navier-Stokes equations are solved numerically for the flow field about an impulsively started flat plate. In attempting to obtain an exact time dependent solution, several significant results were observed. First, with regard to the formulation of the differential equations themselves, it appears that Poisson's equation for the pressure field is a fundamental equation in as much as it allows us to solve for pressure moat exactly at any given time. Secondly, the difference equations must be carefully and consistently formulated. In this research, a non-uniform lateral grid, a unique interpretation of the continuity equation, and leap frog integration in time proved to be valuable techniques in obtaining an exact solution. (Author)

Descriptors :   (*FLUID FLOW, *NAVIER STOKES EQUATIONS), (*FLOW FIELDS, FLAT PLATE MODELS), TWO DIMENSIONAL FLOW, THREE DIMENSIONAL FLOW, PARTIAL DIFFERENTIAL EQUATIONS, DIFFERENCE EQUATIONS, NUMERICAL INTEGRATION, NUMERICAL ANALYSIS, COMPUTER PROGRAMS

Subject Categories : Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE