Physical Sciences and Mathematics Commons^™

A Mathematical Framework For Volume Modeling And Simulation, Brandon Pelfrey

All Theses

Rendering, modeling, and simulating processes in spatially-varying media are complex tasks
which typically require tedious mathematical derivations and long development and programming.
In this thesis, a framework is presented which allows for fast and casual exploration of ideas for
volume-based simulation and modeling. Several applications of the framework are shown, including
the simulation of fluid dynamics for computer graphics applications. A procedure for automatically
generating OpenCL code from these is given, along with rudimentary examples.