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Finite Volume Method and Large deformations
Wed, 2010-03-24 15:09 - Olumide
Hi,
I'm still quite new to mechanics. Would someone please tell me how the finite volume method copes with large deformations?
BTW, is the finite volume method a type of finite element method?
Thanks,
- Olumide
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The finite volume method is
The finite volume method is similar to the finite differece method. See http://en.wikipedia.org/wiki/Finite_volume_method. They are often used for computational fluid dynamics. For large deformations, traditional FEM may have element distortion issue. Meshfree method, such as SPH, and Arbitrary Lagrangian-Eulerian (ALE) method may be a good alternative.
Wei
Hi Olumide,
(a bit off-topic but...) A very robust method to deal with very large (and even unphysical) deformation is the method developped by Fedkiw and al. for computer graphics.
http://naml.us/~irving/movies/invertible/buddha_gear.avi
However its formulation is physically correct for moderate deformations, so it might be an easy and straightforward manner to deal with Large deformations.
Regards,
Tom
My blog on research on Hybrid Solvers: http://mechenjoy.blogspot.com/
finite volume for large deformation
I use high order godunov type finite volme for large deformation in Eular mesh.
Euler-Cochi eq. with Jauman derivatives to take into account the rotation
inthe Hook's laws.
The test results are similar to Autodyn or LS Dyna.
In this case (if you use FV for CFD and CSD) there is no problem with
FSI (coupling fluids and structures). It is the exact Riemann's solver
between gas(fluid) with tate EOS and solids with Hook's law.