Inside the Equation Numbers

In a previous post, I showed the effect of equation numbering on matrix bandwidth for a large model. And in another previous post, I showed how to determine the sequence of nodes visited by the equation numberers in OpenSees.

This post is the result of those posts going on a road trip to shed more light on a 3D model of a lattice structure generated with Alpaca4D, a Grasshopper plugin for OpenSees. The model has about 23,500 nodes.

Using the Plain equation numberer reveals Alpaca4D generates the nodes from the bottom up.

This bottom up approach is not ideal for matrix bandwidth or fill-in, and that’s where the RCM and AMD numberers come into play.

The RCM numberer proceeds smoothly, numbering nodes from the inside out.

The AMD numberer also starts near the middle of the model, but advances in sectors.

While the Plain numberer shows where the landmarks were built, the RCM and AMD numberers show the best route to take.

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