Patent ID: 7542890

Claim:
A method for implementing a geometric multi-cell system dynamics model having an embedded grid, model cells in the embedded grid having a finer cell size relative to the size of other model cells, the method being executed in a digital computer, the method comprising: (a) at a first computational level, iteratively solving transport equations between each of the embedded grid model cells and the other model cells, and respective adjacent model cells for each of the embedded grid model cells and the other model cells, to provide one or more thermophysical values, and then solving residual equations for providing residuals for the values for the embedded grid model cells and the other model cells; (b) grouping the embedded grid model cells to provide composite model cells of the same size as the other model cells; (c) averaging the first computational level residuals of respective embedded grid model cells of each composite model cell to provide average residuals for each composite model cell; (d) at a second computational level, iteratively solving residual equations using the average residuals for the composite model cells to recalculate the residuals for the other model cells and the composite model cells; and (e) applying a geometric multi-grid computation method to the composite model cells and the other model cells, the multi-grid computation method operating on grids having cells of the same cell size, to further refine the computed thermophysical values using residuals computed for grids of increasing coarseness.