SIGGRAPH Asia 2013, Technical Brief
Stochastic Modeling of Immersed Rigid-body Dynamics
Haoran Xie and Kazunori Miyata
Japan Advanced Institute of Science and Technology
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.