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@@ -62,22 +62,25 @@ $$
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  where \\(\Delta = \nabla \cdot \nabla\\) is the spatial Laplacian, \\(b\\) is the buoyancy, \\(u = (u_x,u_y)\\) the (horizontal and vertical) velocity, and \\(p\\) is the pressure, \\(\vec{e}_z\\) is the unit vector in the vertical direction, with the additional constraints \\(\int p = 0\\) (pressure gauge).
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  The boundary conditions vertically are as follows:
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- ```math
 
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  \begin{align*}
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  b(z=0) = Lz ~~~,~~~ b(z=Lz) = 0
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  \\
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  u(z=0) = u(z=Lz) = 0
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  \end{align*}
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- ```
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  These PDE are parameterized by the Rayleigh and Prandtl numbers through \\(\kappa\\) and \\(\nu\\).
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- ```math
 
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  \begin{align*}
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  \text{(thermal diffusivity)} ~~~~~~~ \kappa & = \big(\text{Rayleigh} * \text{Prandtl}\big)^{-\frac12}
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  \\
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  \text{(viscosity)} ~~~~~~~ \nu & = \bigg(\frac{\text{Rayleigh}}{\text{Prandtl}}\bigg)^{-\frac12}.
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  \end{align*}
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- ```
 
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  ![Gif](https://users.flatironinstitute.org/~polymathic/data/the_well/datasets/rayleigh_benard/gif/buoyancy_good_normalized.gif)
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  <!-- <div style="transform: rotate(90deg);">
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  <img src="https://users.flatironinstitute.org/~polymathic/data/the_well/datasets/rayleigh_benard/gif/buoyancy_normalized.gif" alt="Rotated GIF">
 
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  where \\(\Delta = \nabla \cdot \nabla\\) is the spatial Laplacian, \\(b\\) is the buoyancy, \\(u = (u_x,u_y)\\) the (horizontal and vertical) velocity, and \\(p\\) is the pressure, \\(\vec{e}_z\\) is the unit vector in the vertical direction, with the additional constraints \\(\int p = 0\\) (pressure gauge).
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  The boundary conditions vertically are as follows:
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+
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+ $$
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  \begin{align*}
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  b(z=0) = Lz ~~~,~~~ b(z=Lz) = 0
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  \\
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  u(z=0) = u(z=Lz) = 0
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  \end{align*}
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+ $$
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  These PDE are parameterized by the Rayleigh and Prandtl numbers through \\(\kappa\\) and \\(\nu\\).
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+
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+ $$
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  \begin{align*}
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  \text{(thermal diffusivity)} ~~~~~~~ \kappa & = \big(\text{Rayleigh} * \text{Prandtl}\big)^{-\frac12}
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  \\
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  \text{(viscosity)} ~~~~~~~ \nu & = \bigg(\frac{\text{Rayleigh}}{\text{Prandtl}}\bigg)^{-\frac12}.
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  \end{align*}
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+ $$
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+
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  ![Gif](https://users.flatironinstitute.org/~polymathic/data/the_well/datasets/rayleigh_benard/gif/buoyancy_good_normalized.gif)
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  <!-- <div style="transform: rotate(90deg);">
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  <img src="https://users.flatironinstitute.org/~polymathic/data/the_well/datasets/rayleigh_benard/gif/buoyancy_normalized.gif" alt="Rotated GIF">