An implicit, conservative, zonalboundary scheme for Euler equation calculations
Abstract
A zonal, or patched, grid approach is one in which the flow region of interest is divided into subregions which are then discretized independently, using existing grid generators. The equations of motion are integrated in each subregion in conjunction with zonal boundary schemes which allow proper information transfer across interfaces that separate subregions. The zonal approach greatly simplifies the treatment of complex geometries and also the addition of grid points to selected regions of the flow. A conservative, zonal boundary condition that could be used with explicit schemes was extended so that it can be used with existing second order accurate implicit integration schemes such as the BeamWarming and Osher schemes. In the test case considered, the implicit schemes increased the rate of convergence considerably (by a factor of about 30 over that of the explicit scheme). Results demonstrating the time accuracy of the zonal scheme and the feasibility of performing calculations on zones that move relative to each other are also presented.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 February 1985
 Bibcode:
 1985STIN...8518290R
 Keywords:

 Computational Fluid Dynamics;
 Computational Grids;
 Euler Equations Of Motion;
 Flow Equations;
 Problem Solving;
 Boundary Conditions;
 Convergence;
 Cylindrical Bodies;
 Inviscid Flow;
 Subsonic Flow;
 Supersonic Flow;
 Vortices;
 Fluid Mechanics and Heat Transfer