Fully Coupled Calculation of Fluid Flows with Limited Use of Computer Storage

The report describes and demonstrates the performance of a modification to an earlier solution algorithm for the calculation of multidimensional fluid flow, heat transfer, and combustion processes. The modification significantly reduces the computer storage required by the earlier algorithm without degrading the rate of convergence. The modification called as telescoping subdomain analysis (TSDA) splits the flow domain into overlapping subregions and solves them in a sequence, with known conditions on the boundaries of the subregions. The procedure has been tested in four different two-dimensional recirculating flows and the convergence rates have been equivalent to the rates with full-domain analysis. The modification offers significant savings of computer storage and cost and permits calculations with larger finite-difference grids.