===== Hyperbolic tangent function "one side" =====

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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*}



{{ :sunfluidh:mesh_1.jpg?direct&600 |}}

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