Method and apparatus for modeling a dynamic system include a digital computer and a multi-cell system dynamics modeling program stored in the computer. The modeling program has an iterative calculation routine for calculating one or more thermophysical values for each model cell. The routine employs one or more initial iterations using the latest calculated thermophysical values to solve transport equations between each individual cell of at least a portion of the multi-cell model and adjacent cells, to provide intermediate thermophysical values, and a final iteration using the intermediate thermophysical values to provide the thermophysical values representative of each individual cell.
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