Mesh node ordering

Overview

The node ordering followed by Kratos is the very same considered by the pre/post-processor GiD. You can see the notation considered by them [here]http://www-opale.inrialpes.fr/Aerochina/info/en/html-version/gid_11.html#SEC187).

Node ordering

Following the documentation structure used in GMSH we represent the node ordering considered in Kratos.

Additionally everything related with geometry implementation can be directly consulted on the geometries code.

Line

Line2D2/                   Line2D3/   
Line3D2:                   Line3D3:   
                                                
0----------1 --> u      0-----2----1

Triangle

Triangle2D3/               Triangle2D6/     
Triangle3D3:               Triangle3D6:     

v                                                              
^                                                               
|                                                              
2                       2                    
|`\                     |`\              
|  `\                   |  `\           
|    `\                 5    `4           
|      `\               |      `\          
|        `\             |        `\          
0----------1 --> u      0-----3----1   
             

Quadrilateral

Quadrilateral2D4/      Quadrilateral2D8/       Quadrilateral2D9/
Quadrilateral3D4:      Quadrilateral3D8:       Quadrilateral3D9:

      v
      ^
      |
3-----------2          3-----6-----2           3-----6-----2 
|     |     |          |           |           |           | 
|     |     |          |           |           |           | 
|     +---- | --> u    7           5           7     8     5 
|           |          |           |           |           | 
|           |          |           |           |           | 
0-----------1          0-----4-----1           0-----4-----1 

Tetrahedra

Tetrahedra3D4:                          Tetrahedra3D10:

                   v
                 .
               ,/
              /
           2                                     3                              
         ,/|`\                                 ,/|`\                          
       ,/  |  `\                             ,/  |  `\       
     ,/    '.   `\                         ,7    '.   `9     
   ,/       |     `\                     ,/       8     `\   
 ,/         |       `\                 ,/         |       `\ 
0-----------'.--------1 --> u         0--------6--'.--------2
 `\.         |      ,/                 `\.         |      ,/ 
    `\.      |    ,/                      `\.      |    ,5   
       `\.   '. ,/                           `4.   '. ,/     
          `\. |/                                `\. |/       
             `3                                    `1        
                `\.
                   ` w

Hexahedron

Hexahedron3D8:         Hexahedron3D20:       Hexahedron3D27:

       v
3----------2            3----10----2           3----10----2     
|\     ^   |\           |\         |\          |\         |\    
| \    |   | \          | 15       | 14        |15    23  | 14  
|  \   |   |  \         9  \       11 \        9  \ 20   11  \  
|   7------+---6        |   7----18+---6       |   7----18+---6 
|   |  +-- |-- | -> u   |   |      |   |       |22 |  26  | 24| 
0---+---\--1   |        0---+-8----1   |       0---+-8----1   | 
 \  |    \  \  |         \  17      \  19       \ 17    25 \  19
  \ |     \  \ |         12 |        13|        12 |  21    13| 
   \|      w  \|           \|         \|          \|         \| 
    4----------5            4----16----5           4----16----5 

Prism

Prism3D6:                      Prism3D15:              

           w
           ^
           |
           3                       3                          
         ,/|`\                   ,/|`\                    
       ,/  |  `\               12  |  14               
     ,/    |    `\           ,/    |    `\          
    4------+------5         4------13-----5       
    |      |      |         |      9      |        
    |    ,/|`\    |         |      |      |        
    |  ,/  |  `\  |         |      |      |       
    |,/    |    `\|         |      |      |       
   ,|      |      |\        10     |      11       
 ,/ |      0      | `\      |      0      |        
u   |    ,/ `\    |    v    |    ,/ `\    |       
    |  ,/     `\  |         |  ,6     `8  |        
    |,/         `\|         |,/         `\|       
    1-------------2         1------7------2