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.
Description
@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}
}