Documentation du code de simulation numérique SUNFLUIDH

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Description:

Monotonic increasing function.
Cell size refined at the left tip of the segment.

Namelist :

 &MESH_FUNCTION_DATA  Function_Name="TANH_ONE_SIDE"  ,
                      Number_of_Cells= 32 ,  
                      Length= 1.0 ,  
                      Left_Cell_Size= 1.0d-03   ,  
                      Reverse_Ordering= .false. /

Cell size distribution h(l) :

$L$ is the Length.
$N$ is the Number_of_Cells.
$h_{min}$ is the Left_Cell_Size.
$h(l)$ is the cell size.
$l$ is the cell index

\begin{align*} h(1)&= 0 \\ h(l)&=L \cdot (1 + \tanh(\frac{1}{2} \alpha\frac{l-1}{N})/\tanh(\frac{1}{2} \alpha)), 2 \leq l \leq N\\ h(N+1)&= L \\ \alpha &= \frac{L}{N \cdot h_{min}} \end{align*}

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