My understanding is that they provide optimally sparse representation of this type of data - data that's smooth except on these wavefront sets, and that wavelets perform comparatively poorly.
(in case you want to watch at 2x speed in VLC or something)
You wouldn't want to have to determine parameters and pathways for a 53 species 300+ reaction mechanism except in a highly automated fashion.
It features computer fluid dynamic (CFD) simulations of combustion in an accessible manner, though naturally the details are quite complex under the cover.
Keywords, for people wanting to dip their toes: discrete wavelet transform, space partition schemes (BSP, quadrees, octrees), space-filling curves.
The point lookup technique was a little fuzzy and I'd like some more details if possible.
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(Submitted title was "SpaceX's GPU-Powered Combustion Simulation – Adam Lichtl and Stephen Jones")
* You first need a basic (or not so basic) numerical analysis course.
* For wavelets: Mallet's "A Wavelet Tour of Signal Processing"
* For spectral methods in general, a primer many people prefer is Trefethen's "Spectral Methods in MATLAB". It is introductory and you really should start here, but for its reliance on MATLAB and a matrix point of view it's not entirely practical.
* For GPU computing, a slightly advanced book is "The CUDA Handbook: A Comprehensive Guide to GPU Programming"
* For general-purpose parallel CPU computation: "Using MPI" by Gropp
[edit: see Acknowledgements at the end]
So yeah... was expecting an engine. Saw a 2-dimensional triangle. Dissappoint.