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Lagrangean version of Actuator Discs

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Old   July 6, 2011, 15:11
Default Lagrangean version of Actuator Discs
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Cristian Paris
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Hi everyone

I'm currently running simulations of wind fields using particle methods. I want to incorporate the interaction of my particles with a wind turbine, using an Actuator Disc; however, I'm not sure if the concept is applicable, since its deduction is purely Eulerian. Specifically, the following problem arises:

In the Actuator Disc theory, a wind turbine may be represented as a thrust force proportional to the square of the incoming velocity... But suppose a particle has a speed greater than one (in some unit system). Then it may very well happen that the particle "bounces back" at the generator, since the speed decrease induced by the thrust force might be greater in magnitude than the original incoming speed!

Is this an inconsistency of the Actuator Disc model in general? How might one solve it?

Thanks in advance!
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