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Solving Einstein's Equations the Generalized Harmonic Way

Solving Einstein's Equations the Generalized Harmonic Way

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Moving Black Holes in a Spectral Code<br />

Spectral: Excision boundary is a smooth analytic surface.<br />

Cannot add/remove individual grid points.<br />

Straightforward method: re-grid when holes move too far.<br />

Problems:<br />

Re-gridding/interpolation is expensive.<br />

Difficult to get smooth extrapolation at trailing edge of horizon.<br />

Causality trouble at leading edge of horizon.<br />

Lee Lindblom (Caltech) GH Einstein CCRG-RIT – 10/17/2008 21 / 34

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