A rapid implicitexplicit solution to the twodimensional time dependent incompressible NavierStokes equations
Abstract
A secondorder timeaccurate and spatially factored algorithm was used in a finite difference scheme for the numerical solution of the timedependent, incompressible, two dimensional NavierStokes equations in conservationlaw form using vorticity and stream function variables. The systems of equations are solved at each time step by an iterative technique. Numerical results were obtained for a circular cylinder at a Reynolds number of 15, and an NACA 0012 airfoil at zero angle of attack at Reynolds numbers of 10 to the third and 10 to the fourth powers. The results are in agreement with another numerical technique, and the computing time required to obtain the steady state solution at the Reynolds number of 10 to the 4th power was 49.7 sec on CDC 7600 computer using a 65 x 84 computational grind.
 Publication:

National Aeronautics and Space Administration Report
 Pub Date:
 October 1980
 Bibcode:
 1980nasa.reptS....D
 Keywords:

 Finite Difference Theory;
 Incompressible Flow;
 Laminar Flow;
 NavierStokes Equation;
 Time Dependence;
 Two Dimensional Flow;
 Airfoils;
 Cdc 7600 Computer;
 Circular Cylinders;
 Iterative Solution;
 Stream Functions (Fluids);
 Vortices;
 Fluid Mechanics and Heat Transfer