A Numerical Study of the 2- And 3-Dimensional Unsteady Navier-Stokes Equations in Velocity-Vorticity Variables Using Compact Difference Schemes

Download or read book A Numerical Study of the 2- And 3-Dimensional Unsteady Navier-Stokes Equations in Velocity-Vorticity Variables Using Compact Difference Schemes written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-07-25 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: A compact finite-difference approximation to the unsteady Navier-Stokes equations in velocity-vorticity variables is used to numerically simulate a number of flows. These include two-dimensional laminar flow of a vortex evolving over a flat plate with an embedded cavity, the unsteady flow over an elliptic cylinder, and aspects of the transient dynamics of the flow over a rearward facing step. The methodology required to extend the two-dimensional formulation to three-dimensions is presented. Gatski, T. B. and Grosch, C. E. Langley Research Center NASA-CR-172353, ICASE-84-15, NAS 1.26:172353 NAS1-17070