论文标题

评估执行器线模型针对均匀流入中叶片元件动量理论的准确性

Evaluating the accuracy of the actuator line model against blade element momentum theory in uniform inflow

论文作者

Liu, Luoqin, Franceschini, Lucas, Oliveira, Daniel F., Galeazzo, Flavio C. C., Carmo, Bruno S., Stevens, Richard J. A. M.

论文摘要

我们通过使用三个大型涡流模拟代码对NREL 〜5〜MW风力涡轮机进行均匀流入的NREL 〜5〜MW风力涡轮机的模拟来评估执行器线模型(ALM)方法的准确性。当网格间距$δ_ {\ rm grid} \ le 5.25 $ 〜m时,使用三个代码获得的功率和推力系数在$ 1 \%$之内同意,并且针对刀片元件动量(BEM)理论进行了交叉验证。我们发现,当数值分辨率增加时,ALM的结果无需尖端校正即可融合到BEM理论。对于$Δ_ {\ rm grid} = 0.98 $ 〜m使用ALM和BEM获得的功率和推力系数之间的差异分别为$ 4.5 \%$ $和2.1 \%\%$,尽管我们注意到,由于两种模型都可以使用不同的假设,因此可以获得ALM和BEM之间的绝对融合,例如使用不同的假设,例如使用ALM ALM ALM ALM ALM ALM ALM ALM ALM的使用。使用$δ_ {\ rm grid} = 1.97 $ 〜m和$δ_ {\ rm grid} = 0.98 $ 〜m可以大于$ 10 \%$,沿ALM模拟获得的局部轴向和切向力的差异。执行点数量对获得的涡轮功率和推力系数的影响受到限制,因为当执行器点之间的间距大约是网格间距的三倍时,结果会收敛。对所需数量刀片点数的这种见解可用于提高执行器线模拟的效率。

We evaluate the accuracy of the actuator line model (ALM) approach by performing simulations for the NREL~5~MW wind turbine in uniform inflow using three large eddy simulation codes. The power and thrust coefficients obtained using the three codes agrees within $1\%$ when the grid spacing $Δ_{\rm grid} \le 5.25$~m, and are cross-validated against blade element momentum (BEM) theory. We find that the results of ALM converge towards BEM theory without the need for tip correction when the numerical resolution is increased. For $Δ_{\rm grid}=0.98$~m the difference between the power and thrust coefficient obtained using ALM and BEM is $4.5\%$ and $2.1\%$, respectively, although we note that no absolute convergence between ALM and BEM can be obtained as both models use different assumptions, such as the use of a force projection method in the ALM. The difference in the local axial and tangential forces along the blades obtained from ALM simulations using $Δ_{\rm grid} = 1.97$~m and $Δ_{\rm grid} = 0.98$~m can be as large as $10\%$. The effect of the number of actuator points on the obtained turbine power and thrust coefficients is limited as the results converge when the spacing between the actuator points is about three times the grid spacing. This insight on the required number of blade points can be used to improve the efficiency of actuator line simulations.

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