Prescribed Velocity Gradients for Highly Viscous SPH Fluids with Vorticity Diffusion

Working with prescribed velocity gradients is a promising approach to efficiently and robustly simulate highly viscous SPH fluids. Such approaches allow to explicitly and independently process shear rate, spin, and expansion rate. This can be used to, e.g., avoid interferences between pressure and v...

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Bibliographic Details
Published inIEEE transactions on visualization and computer graphics Vol. 23; no. 12; pp. 2656 - 2662
Main Authors Peer, Andreas, Teschner, Matthias
Format Journal Article
LanguageEnglish
Published United States IEEE 01.12.2017
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Acceleration
Computational fluid dynamics
Computational modeling
Damping
Diffusion
fluid simulation
Fluids
Hydrodynamics
Laplace equations
Linear systems
Physically based modeling
prescribed velocity gradients
Preservation
Shear rate
smoothed-particle hydrodynamics
Solvers
Velocity
Velocity gradient
Velocity measurement
Viscosity
Vorticity
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Summary:Working with prescribed velocity gradients is a promising approach to efficiently and robustly simulate highly viscous SPH fluids. Such approaches allow to explicitly and independently process shear rate, spin, and expansion rate. This can be used to, e.g., avoid interferences between pressure and viscosity solvers. Another interesting aspect is the possibility to explicitly process the vorticity, e.g., to preserve the vorticity. In this context, this paper proposes a novel variant of the prescribed-gradient idea that handles vorticity in a physically motivated way. In contrast to a less appropriate vorticity preservation that has been used in a previous approach, vorticity is diffused. The paper illustrates the utility of the vorticity diffusion. Therefore, comparisons of the proposed vorticity diffusion with vorticity preservation and additionally with vorticity damping are presented. The paper further discusses the relation between prescribed velocity gradients and prescribed velocity Laplacians which improves the intuition behind the prescribed-gradient method for highly viscous SPH fluids. Finally, the paper discusses the relation of the proposed method to a physically correct implicit viscosity formulation.
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content type line 23
ISSN:1077-2626
1941-0506
DOI:10.1109/TVCG.2016.2636144