Solving Einstein's Equations for Binary Black Hole Spacetimes
Solving Einstein's Equations for Binary Black Hole Spacetimes
Solving Einstein's Equations for Binary Black Hole Spacetimes
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Comparing Different Numerical Methods<br />
Wave propagation with second-order finite difference method:<br />
3.0<br />
3.0<br />
3.0<br />
N=200<br />
N=200<br />
N=200<br />
2.5<br />
t=0.0<br />
2.5<br />
t=100.0<br />
2.5<br />
t=200.0<br />
2.0<br />
2.0<br />
2.0<br />
U(x,t)<br />
1.5<br />
U(x,t)<br />
1.5<br />
U(x,t)<br />
1.5<br />
1.0<br />
1.0<br />
1.0<br />
0.5<br />
0.5<br />
0.5<br />
0.0<br />
0 π/2 π 3π/2 2π<br />
x<br />
0.0<br />
0 π/2 π 3π/2 2π<br />
x<br />
0.0<br />
0 π/2 π 3π/2 2π<br />
x<br />
Figures from Hesthaven, Gottlieb, & Gottlieb (2007).<br />
Lee Lindblom (Caltech) <strong>Binary</strong> <strong>Black</strong> <strong>Hole</strong>s UW Milwaukee 10/14/2011 19 / 32
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