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FLUENT converts these differential equations into a set of algebraic equations. Inverting these algebraic equations gives the value of (u, v, p, k, omega, p) at the cell centers. Everything else is derived from the cell centers values (post-processing). In our mesh, we'll have around 400,000 cells. The total number of unknowns and hence algebraic equations is:

400,000 * 4 6 = 12.6 4 million.

This huge set of algebraic equations is inverted through an iterative process. The matrix to be inverted is huge but sparse. 

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