Title: Chebyshev’s Method on Projective Fluids
Authors: Sommer, Alexander
Schwanecke, Ulrich
Schoemer, Elmar
Citation: Journal of WSCG. 2020, vol. 28, no. 1-2, p. 132-136.
Issue Date: 2020
Publisher: Václav Skala - UNION Agency
Document type: článek
article
URI: http://wscg.zcu.cz/WSCG2020/2020-J_WSCG-1-2.pdf
http://hdl.handle.net/11025/38434
ISSN: 1213-6972 (print)
1213-6980 (CD-ROM)
1213-6964 (on-line)
Keywords: simulace tekutin;simulace založená na omezení;projektivní dynamika;nelineární optimalizace;animace
Keywords in different language: fluid simulation;constraint-based simulation;projective dynamics;nonlinear optimization;animation
Abstract in different language: We demonstrate the acceleration potential of the Chebyshev semi-iterative approach for fluid simulations in Projective Dynamics. The Chebyshev approach has been successfully tested for deformable bodies, where the dynamical system behaves relatively linearly, even though Projective Dynamics, in general, is fundamentally nonlinear. The results for more complex constraints, like fluids, with a particular nonlinear dynamical system, remained unknown so far. We follow a method describing particle-based fluids in Projective Dynamics while replacing the Conjugate Gradient solver with Chebyshev’s method. Our results show that Chebyshev’s method can be successfully applied to fluids and potentially other complex constraints to accelerate simulations.
Rights: © Václav Skala - UNION Agency
Appears in Collections:Volume 28, Number 1-2 (2020)

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