Real-time Numerical Simulations

Wave and Navier Stokes Equations on Arbitrary Surfaces

Fluid simulation in an Eulerian embedding grid around the surface (Closest Point Method). Surface displacements realized via volume raycasting. Simulated and rendered entirely on the GPU at 20 FPS.

Video: Real-Time Fluid Effects on Surfaces using the Clos

2D Wave Equation and Photon Tracing

Numerical simulation of the 2D wave equation and photorealistic rendering of the water surface including caustics, both in real-time at over 100 fps on a 512x512 simulation grid.

Video: Water+Caustics.wmv

Smoke Simulation

Controllable numerical simulation of 2.5D smoke using the incompressible Navier-Stokes equations (128x128x512 simulation grid @ 200 fps)

Video: 25smoke.wmv

Direct Numerical Fluid Simulation

Left: Dynamic obstacles (128x64x64 Grid, 120 FPS), Right: Nieschenströmung (128x64x64 Grid, 70 FPS)

Video: GPU_NS.wmv

3D Newtonian Fluid - Lattice Boltzmann Method

256x128x128 Grid - 35 FPS

Video: GPU_LBM.wmv

Smoothed Particle Hydrodynamics

GPU SPH (8000 Particles, 55 FPS)

Video: GPU_SPH.wmv

Hexahedral Multigrid Simulation & Cutting

Video: cutting2