6533b7d7fe1ef96bd126867f
RESEARCH PRODUCT
Chebyshev’s Method on Projective Fluids
Alexander SommerUlrich SchwaneckeElmar Schoemersubject
Conjugate gradient solverComputer sciencesimulace tekutinanimationAcceleration (differential geometry)02 engineering and technologyDynamical systemChebyshev filternonlinear optimization0202 electrical engineering electronic engineering information engineeringanimaceProjective testnelineární optimalizaceprojektivní dynamikaconstraint-based simulationsimulace založená na omezeníMathematical analysis020207 software engineeringComputer Graphics and Computer-Aided DesignComputational MathematicsNonlinear systemprojective dynamicsParticle020201 artificial intelligence & image processingfluid simulationProjective dynamicsSoftwaredescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2020-01-01 |