Différences

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

--- sunfluidh:th2s_meshgen [2017/12/03 01:21] – yann
+++ sunfluidh:th2s_meshgen [2017/12/03 16:37] (Version actuelle) – yann
@@ Ligne 3: / Ligne 3: @@
 [[ meshgen_doc| Click here to come back to the previous page]]
 -----
+__ Description:__
+Function with an extremum. \\
+Cell size is refined at left and right tips of the segment.\\
 __Namelist :__
@@ Ligne 13: / Ligne 19: @@
 __Cell size distribution h(l) :__
+$L$ is the Length.\\
+$N$ is the Number_of_Cells}.\\
+$\alpha(l)$ is function of Left_Cell_Size and Right_Cell_Size.\\
+$x(l)$ is the coordinate.\\
+$h(l)$ is the cell size.\\
+$l$ is the cell index.\\
 \begin{align*}
 x(1)&= 0 \\
-F(l)&=\frac{1}{2}(1 + \tanh( \alpha(\frac{l-1}{N})-\frac{1}{2})/\tanh(\frac{1}{2}) \alpha), 2 \leq l \leq N+1\\
+F(l)&=\frac{1}{2}(1 + \tanh( \alpha(l)(\frac{l-1}{N})-\frac{1}{2})/\tanh(\frac{1}{2}) \alpha(l)), 2 \leq l \leq N+1\\
-x(l)&= L \cdot (\frac{F(l)}{\alpha + (1- \alpha) F(l)})\\
+x(l)&= L \cdot (\frac{F(l)}{\alpha(l) + (1- \alpha(l)) F(l)})\\
 x(N+1)&= L \\
-h(l)= x(l+1-x(l)\\
+h(l)&= x(l+1)-x(l)\\
 \end{align*}
-$L=\text{Length}$\\
-$N=\text{Number_of_Cells}$\\
-$\alpha$ is a function of $\text{Left_Cell_Size}$ and $\text{Right_Cell_Size}$.