[scilab-Users] Volume calculation from closed meshed surface

[Carrico, Paul]

Dear Samuel,
 
- The type of facets are either triangles or quads (or both for a mesh using mixed elements),
- the type of interpolation can be either linear or quadratic where some nodes traduces the curvature .... (for mechanical FEA) 
- coordinate system => cartesian one
- kind of shape : has a torus to be treated different than a simple sphere ?
 
I have some information's on closed surfaces using triangles ... of course a solution is to "split" all the elements into 3 nodes triangles ... but is it the simpliest way ? the most robust one ?
 
Paul
 


________________________________

De : Samuel GOUGEON [mailto:Samuel.Gougeon at univ-lemans.fr] 
Envoyé : mercredi 8 juin 2011 14:13
À : users at lists.scilab.org
Objet : Re: [scilab-Users] Volume calculation from closed meshed surface


Hello,

----- Message d'origine ----- 
De : Carrico, Paul 
Date : 08/06/2011 12:09: 

	Dear All,
	 
	I know it's possible to calculate the volume from a meshed closed surface (triangle, quads or mixed quads/triangle) ...
	 
	Does somebody can give me some advices in finding documents and algorithmes ?

It depends on
 - which type of facets you are using (triangles, quads)
 - which type of vertices coordinates you are using (cartesian, cylindrical, spherical)
 - which type of interpolation you are using over verticed facets : linear, quadratic, cubic..
Moreover, the shape of the volume is of importance : without / with holes (ex: sphere / torus),
  holes internal or connected to the outer space, etc...

All this stuff is about finite elements. So, many references about F.E. should
be convenient.

HTH
Samuel



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