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Original file line number | Diff line number | Diff line change |
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@@ -19,5 +19,6 @@ AeroDyn Users Guide and Theory Manual | |
input.rst | ||
output.rst | ||
modeling.rst | ||
theory.rst | ||
appendix.rst | ||
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Original file line number | Diff line number | Diff line change |
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@@ -0,0 +1,30 @@ | ||
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.. _AD_theory: | ||
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AeroDynTheory | ||
============= | ||
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This theory manual is work in progress, please refer to the AeroDyn manual for more details. | ||
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.. _AD_twr_shadow: | ||
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Tower shadow models | ||
~~~~~~~~~~~~~~~~~~~ | ||
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Powles tower shadow model (**TwrShadow=1**) is given by: | ||
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.. math:: | ||
u_{TwrShadow} = - \frac{C_d}{ \sqrt{\overline{r}} } | ||
\cos\left( \frac{\pi/2 \overline{y}}{\sqrt{\overline{r}}}\right)^2 | ||
where :math:`\overline{r} = \sqrt{ \overline{x}^2 + \overline{y}^2 }`. | ||
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Eames tower shadow model (**TwrShadow=2**) is given by: | ||
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.. math:: | ||
u_{TwrShadow} = -\frac{C_d}{ TI \: \overline{x} \, \sqrt{2 \pi } } | ||
\exp{\left( -\frac{1}{2} \left(\frac{ \overline{y}}{ TI \: \overline{x} } \right)^2 \right) } | ||
where :math:`TI` is the turbulence intensity at the tower node. |
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