Différences

Ci-dessous, les différences entre deux révisions de la page.

--- sunfluidh:gravity_namelist [2017/07/03 18:14] – [Gravity_Angle_IJ] yann
+++ sunfluidh:gravity_namelist [2019/08/01 09:27] (Version actuelle) – yann
@@ Ligne 20: / Ligne 20: @@
 ==== Gravity_Angle_IJ ====
    * Type : real value
-   * Angle between the I-axis and of the projection of $-\vec(G}$ on the IJ-plan (in degrees). The I-axis is the origin axis.
+   * Angle between the I-axis and of the projection of $-\vec{G}$ on the IJ-plan (in degrees). The I-axis is the origin axis.
    * Default value = 0.0
 ==== Gravity_Angle_IK ====
    * Type : real value
-   * angle of the gravity vector in the IK-plan (in degrees). The K-axis is the origin axis.
+   * angle between the K-axis and $-\vec{G}$ (in degrees). The K-axis is the origin axis.
    * Default value = 0.0
 ==== Reference_Gravity_Constant ====
@@ Ligne 36: / Ligne 36: @@
 <WRAP important>
-The orientation of the gravity vector $\vec{g}$ in the cartesian referential $(\vec{I},\vec{J},\vec{K})$ is defined from the below formulation :
+The orientation of the gravity vector $\vec{g}$ in the cartesian referential $(\vec{I},\vec{J},\vec{K})$ is defined from the below formulation (spherical coordinates) :
-$$G_I=-G_0.cos(\text{Gravity_Angle_IJ}).sin(\text{Gravity_Angle_IK})$$
+$$G_I= -G_0.cos(\text{Gravity_Angle_IJ}).sin(\text{Gravity_Angle_IK})$$
-$$G_J=-G_0.sin(\text{Gravity_Angle_IJ}).sin(\text{Gravity_Angle_IK})$$
+$$G_J= -G_0.sin(\text{Gravity_Angle_IJ}).sin(\text{Gravity_Angle_IK})$$
-$$G_K=-G_0.sin(\text{Gravity_Angle_IJ}).cos(\text{Gravity_Angle_IK})$$
+$$G_K= -G_0.cos(\text{Gravity_Angle_IK})$$
 Where $G_0$ is norm of the force of gravity (or the buoyancy force).\\
+\\
+__Remarks__
+  * The angle ranges are $ -90 \le $ Gravity_Angle_IJ $ \le +90$ and $ 0 \le $ Gravity_Angle_IK $ \le +180$. \\
+  * From the definition of angles, note that the vector $\vec{g}$ is oriented along the $-\vec{K}$ axis while Gravity_Angle_IK= 0 and $\vec{g}$ is in the plan IJ while Gravity_Angle_IK= 90.\\
 Following the type of simulation and the choice on the form of equations (dimensional, dimensionless, the scales used in order to define the non-dimensional form of equations, etc ...), the term $G_0$ can be written following different ways. For instance, the buoyancy force can be read as :
 $$F_b= (\rho - \rho_0).g_0$$
@@ Ligne 51: / Ligne 56: @@
 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.
-   * $T_0$ is the reference temperature defined in the namelist [[sunfluidh:fluid_properties_namelist|"Fluid_Properties"]].
+   * $T_0$ is the reference temperature defined in the namelist [[sunfluidh:temperature_initialization_namelist|"Temperature_Initialization"]].
 As a consequence the generalized form of $G_0$ in the code is :
 $$G_0= \beta.g_0$$