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For more information about flows in a moving frame of reference, visit ANSYS Help View > Fluent > Theory Guide > 2. Flow in a Moving Frame of Reference  and  ANSYS Help Viewer > Fluent > User's Guide > 9. Modeling Flows with Moving Reference Frames. 

Boundary Conditions

We model only 1/3 of the full domain using periodicity assumptions:

{latex}
\begin{equation*}
\vec{v}^{\,}(r_1,\theta_1) = \vec{v}^{\,}(r_1,\theta_1 - 120)
\end{equation*}
{latex}

Numerical Solution Procedure in ANSYS

FLUENT converts these differential equations into a set of algebraic equations. Inverting these algebraic equations gives the value of (u, v, 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 = 1.6 million.

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

Hand-Calculations of Expected Results

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