Numerical Experiments with the Two- and Three-Dimensional Unsteady Navier-Stokes Equations.
NAVAL POSTGRADUATE SCHOOL MONTEREY CALIF
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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 Poissons 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
- Fluid Mechanics