sunfluidh:gravity_namelist
Différences
Ci-dessous, les différences entre deux révisions de la page.
Les deux révisions précédentesRévision précédenteProchaine révision | Révision précédente | ||
sunfluidh:gravity_namelist [2017/07/03 18:41] – yann | sunfluidh:gravity_namelist [2019/08/01 09:27] (Version actuelle) – yann | ||
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Ligne 37: | Ligne 37: | ||
<WRAP important> | <WRAP important> | ||
The orientation of the gravity vector $\vec{g}$ in the cartesian referential $(\vec{I}, | The orientation of the gravity vector $\vec{g}$ in the cartesian referential $(\vec{I}, | ||
- | $$G_I=-G_0.cos(\text{Gravity_Angle_IJ}).sin(\text{Gravity_Angle_IK})$$ | + | $$G_I= -G_0.cos(\text{Gravity_Angle_IJ}).sin(\text{Gravity_Angle_IK})$$ |
- | $$G_J=-G_0.sin(\text{Gravity_Angle_IJ}).sin(\text{Gravity_Angle_IK})$$ | + | $$G_J= -G_0.sin(\text{Gravity_Angle_IJ}).sin(\text{Gravity_Angle_IK})$$ |
- | $$G_K=-G_0.cos(\text{Gravity_Angle_IK})$$ | + | $$G_K= -G_0.cos(\text{Gravity_Angle_IK})$$ |
Where $G_0$ is norm of the force of gravity (or the buoyancy force).\\ | Where $G_0$ is norm of the force of gravity (or the buoyancy force).\\ | ||
- | The ranges | + | \\ |
- | From the definitions for the angles, note that the vector $\vec{g}$ is oriented along the $-{K}$ axis while Gravity_Angle_IK= 0 and $\vec{g}$ is in the plan IJ while Gravity_Angle_IK= 90. | + | __Remarks__ |
+ | * The angle ranges are $ -90 \le $ Gravity_Angle_IJ $ \le +90$ and $ 0 \le $ Gravity_Angle_IK | ||
+ | | ||
Following the type of simulation and the choice on the form of equations (dimensional, | Following the type of simulation and the choice on the form of equations (dimensional, | ||
$$F_b= (\rho - \rho_0).g_0$$ | $$F_b= (\rho - \rho_0).g_0$$ | ||
Ligne 53: | Ligne 56: | ||
in the momentum equations for incompressible flows under Boussinesq hypothesis. In this case | in the momentum equations for incompressible flows under Boussinesq hypothesis. In this case | ||
* $G_0= \beta.g_0$ where $\beta$ is the thermal expansion coefficient of the fluid considered. | * $G_0= \beta.g_0$ where $\beta$ is the thermal expansion coefficient of the fluid considered. | ||
- | * $T_0$ is the reference temperature defined in the namelist [[sunfluidh: | + | * $T_0$ is the reference temperature defined in the namelist [[sunfluidh: |
As a consequence the generalized form of $G_0$ in the code is : | As a consequence the generalized form of $G_0$ in the code is : | ||
$$G_0= \beta.g_0$$ | $$G_0= \beta.g_0$$ |
sunfluidh/gravity_namelist.txt · Dernière modification : 2019/08/01 09:27 de yann