Multiresolution liquid simulation and rendering

Abstract

Current approaches to real-time liquid simulation are based on solutions to the two-dimensional wave equation. In this thesis, we introduce a new, explicit solution method for the shallow water equations that achieves more realistic results. We obtain real-time performance by collocating variables to increase advection efficiency and we treat the fluid as weakly compressible to avoid solving a Poisson equation for pressure. Our solver is easily adapted to work on multiresolution grids with view dependent refinement criteria and we can handle accurate interaction with static or dynamic obstacles, including thin shells, immersed in the flow.