Author Archives: Brandon Pelfrey

Coding a Simple Octree

Posted on January 5, 2013 by Brandon Pelfrey

Octrees are fundamental in many computer graphics and simulation applications, but I found myself writing one for the first time last weekend, so I thought I’d share the basic ideas and show some code demonstrating how it could be used. … Continue reading →

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Simulating the Wave Equation on Triangle Meshes

Posted on December 31, 2012 by Brandon Pelfrey

The Basics The wave equation is a classic equation in partial differential equations (PDEs). It has a number of uses in physics and is often used to explain energy transfer through space. It is an example of a time-dependent equation, … Continue reading →

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Reduced-Order Modeling

Posted on July 31, 2012 by Brandon Pelfrey

I thought I would give a short description of a neat “applied” technique for reducing computational complexity in solving time-dependent linear PDEs. I was first introduced to this concept in a presentation that I saw, given by Doug James of … Continue reading →

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Extending the Simple Fluid Simulation

Posted on July 30, 2012 by Brandon Pelfrey

In the first post introducing The Construct, I showed how the library could be used to create a simple fluid simulation with little effort. The visual effect wasn’t really that awesome for a couple of reasons. We’ll extend that same … Continue reading →

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The Construct

Posted on July 27, 2012 by Brandon Pelfrey

In this post, I am introducing a framework that I wrote as part of my MSc degree. If you have any questions or comments, or would like to help develop this project further, please comment or contact me! What the … Continue reading →

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