Two-way Coupling of Fluids to Reduced Deformable Bodies

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Date
2016
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association
Abstract
We propose a fully monolithic two-way coupling framework that couples incompressible fluids to reduced deformable bodies. Notably, the resulting linear system matrix is both symmetric and positive-definite. Our method allows for the simulation of interesting free-surface as well as underwater phenomena, enabling the use of reduced deformable bodies as full-fledged simulation primitives alongside rigid bodies and deformable bodies. Momentum conservation is crucial to obtaining physically correct and realistic-looking motion in a fluid environment, and we achieve this by following previous work to describe reduced deformable bodies using both a rigid frame and a reduced space deformation component. Our approach partitions forces and impulses between the reduced space and the rigid frame of the reduced deformable bodies using a projection scheme that cleanly accounts for momentum losses in the reduced space via corrections in the rigid frame, resulting in a new theoretical formulation for the momentum-conserving reduced deformable body. We demonstrate that robust and stable contact, collision, articulation, and two-way coupling with fluids are all attainable in a straightforward way using this new formulation. Compared with fully deformable objects, our framework consumes less memory and scales better in large scenes, while still nicely approximating the deformation effects.
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@inproceedings{
10.2312:sca.20161224
, booktitle = {
Eurographics/ ACM SIGGRAPH Symposium on Computer Animation
}, editor = {
Ladislav Kavan and Chris Wojtan
}, title = {{
Two-way Coupling of Fluids to Reduced Deformable Bodies
}}, author = {
Lu, Wenlong
and
Jin, Ning
and
Fedkiw, Ronald P.
}, year = {
2016
}, publisher = {
The Eurographics Association
}, ISSN = {
1727-5288
}, ISBN = {
978-3-03868-009-3
}, DOI = {
10.2312/sca.20161224
} }
Citation