WindPRO / PARK - EMD International AS.
WindPRO / PARK - EMD International AS.
WindPRO / PARK - EMD International AS.
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Introduction to the Ainslie Wake Model (Eddy Viscosity Model)<br />
Figure 3. Note, that the near wake length is decreasing with increasing ambient turbulence levels.<br />
Numerical solution method<br />
The differential equation is solved using a finite difference method using a generalized Crank-Nicholson<br />
scheme. The solution procedure followed is outlined in Wendt [6]. The numerical solution method used for<br />
solving the Navier Stokes equation is made by replaced the differential equation with the finite difference<br />
approximations. This approximation introduces truncation errors into the equation.<br />
r<br />
∆ x<br />
j+1<br />
∆ r<br />
i+λ<br />
j<br />
j-1<br />
Downstream centerline<br />
x<br />
Figure 4: Grid for the generalized implicit method.<br />
Outline of the Solution Procedure<br />
The solution of the partial differential equations invokes an iterative solution procedure. From the boundary<br />
condition, the continuity equation is solved. Then the downstream momentum equation is solved in order to get<br />
the next downstream velocities. This solution is obtained through an iterative process – the iteration is stopped<br />
when convergences is achieved.<br />
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