Implicit conservative characteristic modeling schemes for the Euler equations  A new approach
Abstract
An implicit characteristicmodeling solution scheme for the Euler equations is presented. The scheme does not require the governing equations to be written in characteristic variables or the flux terms to be split into positive and negative contributions. For the twodimensional problem of a shock wave reflecting from a flat plate, this feature and the simple solution algorithm combine to reduce the computational work per mesh point by 40 percent from that required by a standard, centraldifference, implicit, solution algorithm. Application of the method to the quasionedimensional nozzle flow equations for subsonic and supersonic flows without shocks shows the method to be wellconditioned for large time steps.
 Publication:

6th Computational Fluid Dynamics Conference
 Pub Date:
 1983
 Bibcode:
 1983cfd..conf..672W
 Keywords:

 Computational Fluid Dynamics;
 Conservation Laws;
 Euler Equations Of Motion;
 Finite Difference Theory;
 Boundary Value Problems;
 Nozzle Flow;
 One Dimensional Flow;
 Subsonic Flow;
 Supersonic Flow;
 Two Dimensional Flow;
 Fluid Mechanics and Heat Transfer