Paper Info
Title
Stochastic modeling of immersed rigid-body dynamics
Abstract
The simulation of immersed rigid-body dynamics involves the coupling between objects and turbulent flows, which is a complicated task in computer animation. In this paper, we propose a stochastic model of the dynamics of rigid bodies immersed in viscous flows to solve this problem. We first modulate the dynamic equations of rigid bodies using generalized Kirchhoff equations (GKE). Then, a stochastic differential equation called the Langevin equation is proposed to represent the velocity increments due to the turbulences. After the precomputation of the Kirchhoff tensor and the kinetic energy of a synthetic turbulence induced by the object moving, we utilize a fractional-step method to solve the GKE with vortical loads of drag and lift dynamics in runtime. The resulting animations include both inertial and viscous effects from the surrounding flows for arbitrary geometric objects. Our model is coherent and effective to simulate immersed rigid-body dynamics in real-time.
Year
DOI
Venue
2013
10.1145/2542355.2542370
SIGGRAPH Asia Technical Briefs
Field
DocType
Citations 
Drag,Lift (force),Computer graphics (images),Computer science,Stochastic differential equation,Rigid body,Kirchhoff equations,Mechanics,Stochastic modelling,Geometry,Rigid body dynamics,Langevin equation
Conference
3
PageRank 
References 
Authors
0.38
12
2
Name
Order
Citations
PageRank
Haoran Xie1138.49
Kazunori Miyata216141.73