Tuesday, January 1, 2019

Dynamical Gauge Equations

This version uses dynamical gauge variables, so there are several more equations to code as well.

Initial Conditions for Head-On Collision of Two Non-spinning Black Holes
Additionally, for this example, since this is a head-on collision of two non-spinning black holes, our initial conformal parameter will be calculated as:


Where  mi is the mass associated with each black hole, is the initial location of each black hole and the location of  each point is

Kreiss-Oliger Spatial Filtering



Because of high frequency numerical noise, this version also includes Kriess-Oliger spatial filtering. This filter is implemented as:





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