Numerical Solution of Three-Dimensional Unsteady Viscous Flows.

摘要

The long term objective of the present effort is the development of solution techniques for direct numerical simulation of unsteady 3-D incompressible turbulent flows., The kinetic aspects of this problem are governed by a set of parabolic partial differential equations, which may be efficiently integrated by a variety of time marching schemes. The kinematic aspects of this flow such as the relationship between velocity and vorticity, and the relationship between velocity and pressure are governed by elliptic partial differential equations, which can be solved at any instance in time, only by iterative techniques. Direct and/or large eddy simulation of turbulent flows over submarine configurations, turbomachinery, pumps, ducts and other configurations of interest to the U. S. Navy require efficient solution methods for solving the governing equations. The near term objective of the present research is to investigate and develop efficient time marching schemes for integrating the governing equations, and to evaluate the stability and accuracy of the schemes developed by studying a class of 2-D and 3-D unsteady external flows for which good quality experimental and analytical results are available.