Some semiimplicit hopscotch type methods for the timedependent compressible NavierStokes equations
Abstract
Treatment of the timedependent NavierStokes equations for the solution of the flowfield about airfoil configurations is generally performed using either explicit or implicit finitedifference methods. As a viable alternative, hopscotchtype methods combine the speed of the explicit and the favorable stability criteria of the implicit methods. Such methods are constructed here for the timedependent NavierStokes equations in conservationlaw form; their implementation to a number of test cases (one for Euler's equations), including the stringent case of shockwaveboundary layer interaction with separation, indicates the possibility of competitive accuracy and more rapid computing time than is required by some current popular fully implicit methods.
 Publication:

5th Computational Fluid Dynamics Conference
 Pub Date:
 1981
 Bibcode:
 1981cfd..conf..239G
 Keywords:

 Airfoil Profiles;
 Computational Fluid Dynamics;
 Computer Aided Design;
 Finite Difference Theory;
 NavierStokes Equation;
 Time Dependence;
 Aircraft Design;
 Boundary Layer Separation;
 Error Analysis;
 Flow Distribution;
 Numerical Stability;
 Run Time (Computers);
 Shock Wave Interaction;
 Transonic Flow;
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer