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@@ -23,3 +23,4 @@ set(HYDROSTATIC ON) | |
set(RFM ON) | ||
set(NETCDF ON) | ||
set(DISORT ON) | ||
set(PYTHON_BINDINGS ON) |
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<a name="Intro"></a> | ||
<h1> Introduction </h1> | ||
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The second example shows the the rising of a warm bubble, which to some extent, | ||
resembles the mushroom cloud of an atomic bomb. This test case was proposed by | ||
@cite robert1993. The original setting was is 2D and we extended it to 3D. | ||
The size of the domain is 1 km $\times$ 1 km $\times$ 2.5km. The model resolution is | ||
uniformlly 5 m in each dimension. The bubble is initially centered at | ||
$x_0 = y_0 = 500 \text{m}, z_0 = 260 \text{m}$ with a Gaussian-shaped potential | ||
temperature anomaly as: | ||
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@f{eqnarray*} | ||
\Delta \theta &=& 0.5\;\text{K}, \qquad\quad\quad r \leq a \\ | ||
&=& 0.5e^{-(r-a)^2/s^2}\;\text{K}, \quad r > a | ||
@f} | ||
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where $r$ is the distance to the center, $a=50$ m and $s=100$ m. The background | ||
atmosphere is isentropic with surface pressure being 1 bar and surface temperature | ||
303.15 K. The bubble is then released and evolve to 1200 s. |
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<h1> Results </h1> | ||
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<p>Here we show the animation of the rising bubble</p> | ||
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<div> | ||
<img src="mov/robert.gif" alt="Animation of a rising air bubble"> | ||
</div> | ||
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<p>The temperature anomaly of the bubble is colored in blue/red with blue being colder | ||
and red being warmer. Initially, the warm part of the bubble is hiden at its center | ||
and you only see the colder outer part. Multiple convective overturnings develop seen during the | ||
rising motion to deliver the warm gas upward and outward. Unlike the 2D solution shown in @cite robert1993, | ||
the 3D evolution of the bubble features a vortex ring surounding the core of the rising | ||
center and the head of the rising bubble is minimum compared to the ring. |
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../../../examples/2019-Li-snap/robert.cpp |
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