Langevin Rigid: Animating Immersed Rigid Bodies in Real-time

We present the Langevin rigid approach, a technique for animating the dynamics of immersed rigid bodies in viscous incompressible fluid in real-time. We use generalized Kirchhoff equations to ensure forces and torques from the surrounding fluid that create realistic motion of immersed rigid bodies. We call our method the Langevin rigid approach because the generalized Langevin equations are applied to represent the effects of turbulent flow generated at the body surface. The Langevin rigid approach precomputes added-mass effects and the vortical loads from turbulent model, and executes the rigid body solver in runtime, so that this method is straightforward and efficient to the interactive simulations. Many types of rigid bodies with lightweight mass (e.g. leaf or paper) can be simulated realistically in high-Reynolds-number flows.