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Dissertation/Thesis Abstract

A comparison of grid-based techniques for Navier-Stokes fluid simulation in computer graphics
by Chrisman, Cameron, M.S., University of California, San Diego, 2008, 76; 1450292
Abstract (Summary)

Fluid simulation is becoming increasingly common in the film industry and in computer games, however, understanding and implementing a numerical solution to the Navier-Stokes equation can be a daunting task. In this thesis we present an introduction to fluid simulation in computer graphics with a full derivation of the compressible and incompressible Navier-Stokes equation from Newton's Second Law, explaining concepts such as pressure and viscosity as they are derived. We also present a survey and comparison of four different methods for solving the advection equation: a simple 1st order differencing method, a 4 th order QUICK scheme, the popular semi-lagrangian method, and the PIC & FLIP particle based methods. We present these advection scheme comparisons in a series simplified 1D channel plots, and a set of 2D fluid animations. Based on these results, we classify algorithms as stable or unstable, and discuss methods to prevent divergence in unstable solvers.

Indexing (document details)
Advisor: Jensen, Henrik Wann
Commitee: Buss, Samuel R., Zwicker, Matthias
School: University of California, San Diego
Department: Computer Science and Engineering
School Location: United States -- California
Source: MAI 46/05M, Masters Abstracts International
Subjects: Computer science
Keywords: Computer graphics, Fluid simulation, Navier-Stokes
Publication Number: 1450292
ISBN: 978-0-549-46270-5
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