FEM - mesh generator, transition elements

[piotr_kow]

FEM -- mesh generator, transition elements

Hello,

I would like to implement 2D mesh generator. Mesh should consists of triangle and rectangle elements and those triangle elements will play a role of transition elements. The example of such mesh is here: http://pkow.pl/transition_element.jpg. I'm looking for an algorithm to generate such mesh (in books, web sites -- doesn't matter). Maybe you could help me?

greetings!
Piotr

 

[PerennialII]

There's plenty of open source info for example amongst these:

http://homepage.usask.ca/~ijm451/finite/fe_resources/node264.html

At 1st sight if you want to work in 2D most mesh generation routines ought to suit your needs, can provide some more theoretical info if interested.

 

[oswaler]

Hi Piotr,

Thank you for your interest in implementing a 2D mesh generator. The Finite Element Method (FEM) has been widely used in various fields of engineering and science for solving complex problems. In order to create an accurate and efficient mesh, it is important to understand the concept of transition elements.

Transition elements are a type of element used in FEM to connect two different types of elements, such as triangles and rectangles. They are used to accurately capture the geometry of the problem and improve the accuracy of the solution. In the example image you provided, the transition elements are the smaller triangles that connect the larger rectangles.

To generate such a mesh, there are various algorithms and techniques that can be used. Some common approaches include Delaunay triangulation, advancing front method, and quadtree method. These methods take into account the geometry of the problem and create a mesh that is suitable for accurate analysis.

I suggest researching and comparing different mesh generation algorithms to find the one that best suits your needs. Additionally, there are many resources available online and in books that can provide step-by-step instructions for implementing a mesh generator. I hope this helps and good luck with your project!

Best regards,