... | ... | @@ -4,7 +4,7 @@ We write in this page the continuity and Navier-Stokes equations in the form tha |
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$`{\partial \rho \over \partial t}+ \nabla \cdot (\rho \vec v)= 0 `$
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where $`\rho`$ is the volume density and $`\vec v=(v_R,v_{\theta},v_{\varphi})`$ is the fluid velocity vector.
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where $`\rho`$ is the volume density and $`\vec v=(v_R,v_{\varphi},v_{\theta},)`$ is the fluid velocity vector.
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## Navier-Stokes equations
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... | ... | @@ -19,7 +19,7 @@ $`\left\lbrace \begin{array}{lll} |
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-{1\over {r \sin \theta}}{\partial P \over \partial \varphi} )]
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\end{array} \right.`$
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The function $f=(f_r,f_\varphi,f_\theta)$ is the divergence of the
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The function $`f=(f_r,f_\varphi,f_\theta)`$ is the divergence of the
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stress tensor (see for example Tassoul 1978).
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The potential $\Phi$ acting on the disc consists of the contribution of
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the star $\Phi_*=-GM_{*}/r$ and planets $\Phi_p$, plus indirect terms that arise from the primary acceleration due to the planets’ and disc’s gravity. |
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The potential $`\Phi`$ acting on the disc consists of the contribution of
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the star $`\Phi_*=-GM_{*}/r`$ and planets $`\Phi_p`$, plus indirect terms that arise from the primary acceleration due to the planets’ and disc’s gravity (see section [Gravitational Potential including Indirect terms](https://gitlab.oca.eu/DISC/fargOCA/-/wikis/Code-equations/Gravitational-Potential-Including-indirect-terms)) |
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