Multi Block Flow Solvers for Use on Parallel Computers

Abstract

Multi block solvers for the 2 and 3 Dimensional Euler Equations have been developed. The spatial discretization scheme is that of Jameson [1] using central differencing with added artificial dissipation. The resulting system of ODE’s is integrated in time using the explicit Runge Kutta procedure. The computational domain is split into multiple blocks, first of all to facilitate the grid generation for complex geometries, and secondly to allow the utilization of different parallel computers, on which this paper places the emphasis. The spectrum of parallel computers envisaged is broad, ranging from computers having only a relatively small number of processors to massively parallel computers. Results discussed in this paper includes the CRAY 2, ALLIANT FX/80 and the Intel iPSC/2 SX, while the implementation on the Connection Machine is briefly discussed. The multi block approach proved to be easily ported between these different computers, and - most important - attain high parallel efficiencies.