「$xgradualdiv」:修訂間差異

出自DDCC TCAD TOOL Manual
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Jameshuang留言 | 貢獻
已建立頁面,內容為 "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. : {| |'..."
 
Yrwu留言 | 貢獻
無編輯摘要
第6行: 第6行:
|-
|-
|''i'' = 1:
|''i'' = 1:
| Gradual. This means the segment is divided whether from small spacing to large spacing or in the opposite way.  
| 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:
|''i'' = 2:
|Bump. This means the segment can be divided into two forms small-large-small or large-small-large.
|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. number 1 for gradual this means the spacing between each point becomes smaller.
The second column ''r'' should be filled in a real number.  
 
<br>
[[File:Mesh2.png|600px]]
<br>
{| class="wikitable"
{| class="wikitable"
|-
|-
第35行: 第37行:
|small -> large -> small
|small -> large -> small
|}
|}
<br>
If the total layer thickness is <math>l </math> and i=1, then if the smallest separation distance is a
<math>l = a+ar+ar^{2}+ar^{3}+ar^{4}+...+ar^{N} </math>
where N is the total grid number defined in [[$xdiv]]
Then  <math>l = a\frac{r^{N}-1}{r-1} </math>
<br>
If the total layer thickness is <math>l </math> and i=2, then if the smallest separation distance is a
<math>l/2 = a+ar+ar^{2}+ar^{3}+ar^{4}+...+ar^{N/2} </math>
where N is the total grid number defined in [[$ydiv]]
Then  <math>l = 2 \cdot a\frac{r^{N/2}-1}{r-1} </math>
<br>
<br>
: Example
: Example
$xgradualdiv
0 1
1 1.1
1 1.1
2 1.1
2 1.1
<br><br>
<br><br>
: Related commands
: Related commands
:; [[$ygradualdiv]]
:; [[$ygradualdiv]]

於 2018年3月13日 (二) 01:52 的修訂

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.

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+ar2+ar3+ar4+...+arN
where N is the total grid number defined in $xdiv
Then   l=arN1r1


If the total layer thickness is l and i=2, then if the smallest separation distance is a 
l/2=a+ar+ar2+ar3+ar4+...+arN/2
where N is the total grid number defined in $ydiv
Then   l=2arN/21r1


Example
$xgradualdiv
0 1
1 1.1
1 1.1
2 1.1
2 1.1



Related commands
$ygradualdiv