$ygradualdiv

出自 DDCC TCAD TOOL Manual
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This function is to determine how the segment is divided. There are two columns to fill in. The first column i should be filled in an integer 0, 1, or 2.

i = 0: Uniform. This means the segment is divided equally with the same spacing.
i = 1: Gradual. This means the segment is divided whether from small spacing to large spacing or in the opposite way. The spacing is distributed like a geometric progression
i = 2: Bump. This means the segment can be divided into two forms small-large-small or large-small-large.

The second column r should be filled in a real number.
Mesh2.png

If r < 1 If r = 1 If r > 1
Uniform (0) uniform uniform uniform
Gradual (1) large -> small uniform small -> large
Bump (2) large -> small -> large uniform small -> large -> small


If the total layer thickness is l  and i=1, then if the smallest separation distance is a 
l = a+ar+ar^{2}+ar^{3}+ar^{4}+...+ar^{N} 
where N is the total grid number defined in $ydiv
Then   l = a\frac{r^{N}-1}{r-1} 


If the total layer thickness is l  and i=2, then if the smallest separation distance is a 
l/2 = a+ar+ar^{2}+ar^{3}+ar^{4}+...+ar^{N/2} 
where N is the total grid number defined in $ydiv
Then   l = 2 \cdot a\frac{r^{N/2}-1}{r-1} 


Example
$ynode
0.0
0.5
2.0
3.0
$ydiv
25
30
60
$ygradualdiv
0
1 1.1
2 0.9


The $ygradualdiv setting in GUI interface is here
1. After setting up the Y-nodes, press Edit the nodes.
2. Choose the 1st node and set the Method to Uniform with a Mesh ratio of 0.00.
2D ygradualdiv fig1.jpg

3. Choose the 2nd node and set the Method to Gradual change with a Mesh ratio of 1.10.
2D ygradualdiv fig2.jpg

4. Choose the 3rd node and set the Method to Bump with a Mesh ratio of 0.90.
2D ygradualdiv fig3.jpg

2D ygradualdiv fig4.jpg




Related commands
$xgradualdiv,$ynode,$ydiv