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h1. Numerical Solution

The user defined function from the Pre-Analysis section defines the lift function in C and defines the pressure and centroid of each face, then calculates the quantity called liftFunc, defined as

{latex}strategy for computing the lift force using the UDF is as follows:
# Turn on a 'user defined scaler' φ which Fluent will solve for
# On the cylinder surface, set the below equation by implementing the UDF as a boundary condition for φ {latex}
\begin{eqnarray}
\phi = -psin(\theta)
\end{eqnarray}{latex}  

Once the user defined function is implemented, we can use liftFunc to integrate the specified user defined scalar over the entire specified surface. Note that the liftFunc UDF calculates a side force that is NOT normalized. So you'll have to divide the reported value by 0.5*rho*v^2*D*1 to get the normalized side force. This is because when you integrate liftFunc, you get the integral of \-p*sin(theta) on the chosen surfaces.

User-defined function implementation to obtain the lift coefficient around the cylinder is as follows.
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