Vallorie Peridier is both associate professor and graduate-program director in the mechanical engineering department of Temple University, located in Philadelphia, Pennsylvania.
She earned her physics undergraduate degree at Bryn Mawr College, and her applied-mathematics doctoral degree at Lehigh University.
She has found her participation in the NKS community to be a transformative experience, and her goal is to abet the recognition and adoption of NKS methods in engineering applications.
Project: CA-Generated Idealizations of Roughened Surfaces
Models of surface roughness, utilized in numerical simulations, often entail an ad-hoc randomizing strategy. Such approaches frequently result in a less than satisfactory approximation of the surface topology.
This study demonstrates how a basic cellular-automaton (CA) approach can be used to construct a somewhat more plausible representation of a roughened surface.
The basic idea entails interpreting the cell-by-cell accumulations of totalistic 2-color CA evolutions as the vertical offsets for nodes that define a triangulated, faceted surface. This approach provides an interesting variety of irregular but physical-appearing surface structures.
In summary, this CA rough-surface model successfully articulates a quite complex surface geometry with only a very modest-sized rectangular data grid which, with suitable interpolation functions, could be subsequently exported to other computational applications.
Reversible Two-Color Cellular Automaton Rules
Favorite Radius 3/2 Rule
Rule invert rule
A rule is reversible if there is an “invert rule” that exactly runs the rule “in reverse” for any initial condition. I found 16 reversible rules in the k=2, r=3/2 rule space, and identified invert rules for all 16.