Fluid Simulation for Graphics Minor project under guidance of Prof. P. Kalra Abhinav Golas Akram Khan

Outline Fluid animation Work done What it is What it is not Uses Models Work done Work done earlier Current focus Future work

Fluid animation Modeling and Rendering fluids in a manner which is visually appealing NOT a numerically complete simulation Model is scenario dependent – computationally expensive

Uses Movies! – Titanic, Ice Age, LOTR etc. Games! – All!

The Navier Stokes Equation Governs all fluid behaviour PDE – no closed form Solutions only through numerical simulation Issues of numerical errors, and stability Computationally very expensive Boundary conditions and level of discretisation important

Models Heightfield generation CFD – Computational Fluid Dynamics For showing ocean surfaces Used when field of view is large Doesn’t directly solve Navier Stokes – uses generalised solutions CFD – Computational Fluid Dynamics Iteratively solve NS eqns for a 3D grid Surface reconstruction – recent work Fixed grid positions – Eulerian approach

Models Smoothed Particle Hydrodynamics System as collection of fluid particles Governed by NS eqns Surface reconstruction

Surface reconstruction Problem: Given a set of particles, need to generate a smooth wrapping surface Approach (currently used) Level sets Hybrid approach (level sets + curvature measures)

Work done earlier Literature review to find current state-of-the-art Issues in simulation of different types of fluids: Viscous Snow Fire

Current focus Getting implementations of the state-of-the-art methods Heightfields CFD SPH References SIGGRAPH 2004 course on realistic nature animation SIGGRAPH 2006 course on fluid simulation

Progress Some heightfields implemented Work on CFD Gerstner waves (video on site) Statistics based ocean waves Velocity field based animation Choppy waves (currently underway) Work on CFD Making an implementation

Some results

Some results

Future work Complete implementations of these fluid simulation methods Identify areas for further improvement/research Spray/Foam Bubbles