Finite Volume Methods for the Simulation of Skeletal Muscle

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Date
2003
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association
Abstract
Since it relies on a geometrical rather than a variational framework, many find the finite volume method (FVM) more intuitive than the finite element method (FEM).We show that the FVM allows one to interpret the stress inside a tetrahedron as a simple 'multidimensional force' pushing on each face. Moreover, this interpretation leads to a heuristic method for calculating the force on each node, which is as simple to implement and comprehend as masses and springs. In the finite volume spirit, we also present a geometric rather than interpolating function definition of strain. We use the FVM and a quasi-incompressible, transversely isotropic, hyperelastic constitutive model to simulate contracting muscle tissue. B-spline solids are used to model fiber directions, and the muscle activation levels are derived from key frame animations.
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@inproceedings{
:10.2312/SCA03/068-074
, booktitle = {
Symposium on Computer Animation
}, editor = {
D. Breen and M. Lin
}, title = {{
Finite Volume Methods for the Simulation of Skeletal Muscle
}}, author = {
Teran, J.
and
Blemker, S.
and
Hing, V. Ng Thow
and
Fedkiw, R.
}, year = {
2003
}, publisher = {
The Eurographics Association
}, ISSN = {
1727-5288
}, ISBN = {
1-58113-659-5
}, DOI = {
/10.2312/SCA03/068-074
} }
Citation