On a multitime step procedure to accelerate timeasymptotic flow calculations
Abstract
A multitime step technique to accelerate timedependent finitedifference calculations to steadystate is proposed. The considered equations are behaving essentially like first order hyperbolic systems, but they also include small second order viscous operators. The proposed method relies on a special implicit differencing procedure making it possible to select a convenient sequence of time steps to get a rapid convergence towards the steadystate solution. The sequence is repeatedly cycled until convergence is obtained. The method is demonstrated on some simple onedimensional model equations consisting of Burgers equation and a set of isentropic flow equations with added artificial viscosity. A generalization of the method to several space dimensions is briefly touched at.
 Publication:

Numerical Methods in Fluid Mechanics
 Pub Date:
 1982
 Bibcode:
 1982nmfm.conf..301S
 Keywords:

 Asymptotic Methods;
 Computational Fluid Dynamics;
 Finite Difference Theory;
 One Dimensional Flow;
 Step Functions;
 Time Marching;
 Burger Equation;
 Run Time (Computers);
 Steady State;
 Fluid Mechanics and Heat Transfer