===== Examples of data set  =====

The user finds here some examples illustrating different configurations related to the namelist [[sunfluidh:velocity_initialization_namelist|"Velocity_Initialization"]]. \\
The data initialized by default, and not explicitly required, are generally not present for a sake of clarity.\\

=== Uniform Velocity field ===

<note>The velocity is oriented along the J-direction only.\\
Its value is $1.5$.\\
Other velocity components are null.</note>

    &Velocity_Initialization  I_Velocity_Reference_Value          = 0.0  , J_Velocity_Reference_Value          = 1.5  , K_Velocity_Reference_Value          = 0.0 ,
                              Initial_Field_Option_For_Velocity_I = 0    , Initial_Field_Option_For_Velocity_J = 0    , Initial_Field_Option_For_Velocity_K = 0,
                              White_Noise_Magnitude_For_Velocity_I= 0.0  , White_Noise_Magnitude_For_Velocity_J= 0.0  , White_Noise_Magnitude_For_Velocity_K= 0.0 /
                              
By considering the default values of the namelist, it could simply be write as :\\

    &Velocity_Initialization   J_Velocity_Reference_Value          = 1.5  /

=== Parabolic velocity profile === 

<note>The velocity is oriented along the J-direction and its mean value over the cross section of the domain is $1.5$.\\
The profile depends on The I-direction.\\
Other velocity components are null.</note>

    &Velocity_Initialization   J_Velocity_Reference_Value          = 1.5 , Initial_Field_Option_For_Velocity_J = 1 /

=== "Spreading" velocity field from an inlet === 

<note> Relevant when just one inlet is present.\\
The normal inflow is oriented along the I-direction.\\
Other velocity components are null.</note>

    &Velocity_Initialization  Initial_Field_Option_For_Velocity_I = 3 /
    
<note important>The inflow velocity profile is spread out over the domain in the I-direction. The mean value of the velocity component is not required (but this value can still be set just to keep it mind).</note>


=== Parabolic Velocity field with superimposed white noise ===

<note>The velocity is oriented along the J-direction only. Its mean value is $1.5$.\\
The parabolic profile depends on The I-direction.</note>

    &Velocity_Initialization  I_Velocity_Reference_Value          = 0.0  , J_Velocity_Reference_Value          = 1.5  , K_Velocity_Reference_Value          = 0.0 ,
                              Initial_Field_Option_For_Velocity_I = 0    , Initial_Field_Option_For_Velocity_J = 1    , Initial_Field_Option_For_Velocity_K = 0,
                              White_Noise_Magnitude_For_Velocity_I= 0.05  , White_Noise_Magnitude_For_Velocity_J= 0.1  , White_Noise_Magnitude_For_Velocity_K= 0.02 /
                              
A white noise is superimposed on each velocity component such as :
   * The random fluctuations on the I-velocity component are 5% of the mean value of the J-velocity component (because the mean value of the I-velocity component is null)
   * The random fluctuations on the J-velocity component are 10% of the local value given by the parabolic profile.
   * The random fluctuations on the K-velocity component are 2% of the mean value of the J-velocity (because the mean value of the K-velocity component is null)

<note important>Keep in mind the magnitude of fluctuations is defined in respect with the local value of the velocity component invoked __ only if it is a non-zero value__ . Otherwise this magnitude is relied on the maximum value given by I_Velocity_Reference_Value, J_Velocity_Reference_Value or K_Velocity_Reference_Value </note>