檢視 $xgradualdiv 的原始碼

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. 
<br>
[[File:Mesh2.png|600px]]
<br>
{| class="wikitable"
|-
! scope="col"| 
! scope="col"| If ''r'' < 1
! scope="col"| If ''r'' = 1 
! scope="col"| If ''r'' > 1 
|-
! scope="row"| Uniform (0)
| uniform
| uniform
| uniform
|-
! scope="row"| Gradual (1)
|large -> small
| uniform
|small -> large
|-
! scope="row"| Bump (2)
|large -> small -> large
| uniform
|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>
: Example
 $xnode
 0.0
 20.0
 40.0
 60.0
 
 $xdiv
 30 
 70 
 80
 
 $xgradualdiv
 0 
 1 1.1
 2 0.95

<br>'''<big><big>The $xgradualdiv setting in GUI interface is here</big></big>''' <br>
1. After setting up the X-nodes, press '''Edit the nodes'''.<br>
2. Choose the 1<sup>st</sup> node and set the Method to '''Uniform''' with a Mesh ratio of 0.00.<br>
[[檔案:2D_xgradualdiv_fig1.jpg|1200px]]<br><br>
3. Choose the 2<sup>nd</sup> node and set the Method to '''Gradual change''' with a Mesh ratio of 1.10.<br>
[[檔案:2D_xgradualdiv_fig2.jpg|1200px]]<br><br>
4. Choose the 3<sup>rd</sup> node and set the Method to '''Bump''' with a Mesh ratio of 0.95.<br>
[[檔案:2D_xgradualdiv_fig3.jpg|1200px]]<br><br>
[[檔案:2D_xgradualdiv_fig4.jpg|1200px]]<br><br>

<br><br>
: Related commands
:; [[$ygradualdiv]] , [[$xnode]],[[$xdiv]]