Numerical recipes in C (2nd ed.): the art of scientific computing
Numerical recipes in C (2nd ed.): the art of scientific computing
Rigid fluid: animating the interplay between rigid bodies and fluid
ACM SIGGRAPH 2004 Papers
Coupling water and smoke to thin deformable and rigid shells
ACM SIGGRAPH 2005 Papers
A unified particle model for fluid–solid interactions: Research Articles
Computer Animation and Virtual Worlds
Direct Forcing for Lagrangian Rigid-Fluid Coupling
IEEE Transactions on Visualization and Computer Graphics
Lie group integrators for animation and control of vehicles
ACM Transactions on Graphics (TOG)
Synthetic turbulence using artificial boundary layers
ACM SIGGRAPH Asia 2009 papers
Scalable fluid simulation using anisotropic turbulence particles
ACM SIGGRAPH Asia 2010 papers
Stochastic modeling of light-weight floating objects
I3D '11 Symposium on Interactive 3D Graphics and Games
Underwater rigid body dynamics
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
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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.