The Turn Function and Vorticity Method for Numerical Fluid Dynamics
Abstract
A numerical method is presented that solves in a consistent fashion, conservation equations for both vorticity and linear momentum in multidimensional fluiddynamics calculations. The equations are given in both two and threedimensional Cartesian geometry, and it is shown how the method can be easily implemented in a twodimensional Eulerian fluiddynamics code. The results of example calculations, which were performed with and without the new method, show the large errors that can arise when the vorticity equation is not solved in compressible flow calculations.
 Publication:

Journal of Computational Physics
 Pub Date:
 March 1984
 DOI:
 10.1016/00219991(84)900664
 Bibcode:
 1984JCoPh..53..359O
 Keywords:

 Computational Fluid Dynamics;
 Conservation Equations;
 Finite Difference Theory;
 Vorticity Equations;
 Bow Waves;
 Cartesian Coordinates;
 Compressible Flow;
 Momentum;
 Shock Waves;
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer