... | @@ -28,4 +28,13 @@ The equation for the internal energy is obtained from Navier-Stokes equations. |
... | @@ -28,4 +28,13 @@ The equation for the internal energy is obtained from Navier-Stokes equations. |
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In many codes (mainly the ones using Rieman Solvers) the energy is treated as the sum of kinetic plus internal energy. In the attached file we provide the derivation of the equation for the internal energy plus some comments about codes
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In many codes (mainly the ones using Rieman Solvers) the energy is treated as the sum of kinetic plus internal energy. In the attached file we provide the derivation of the equation for the internal energy plus some comments about codes
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like Jupiter [eneequa2.pdf](uploads/3f4341806d874fb2f3808712dc785418/eneequa2.pdf)
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like Jupiter [eneequa2.pdf](uploads/3f4341806d874fb2f3808712dc785418/eneequa2.pdf)
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## The contribution of the Stellar heating |
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## The contribution of the Stellar heating
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## Energy equation in a 2 dimensional disk
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In a 2 dimensonal disk we can use a
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$`\left\lbrace \begin{array}{lll}
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\frac{\partial e}{\partial t} + \nabla \cdot(e\vec v) &=
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&
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-P \nabla \cdot \vec v + Q^+ Q^-
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\end{array} \right.`$ |
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