Abstract
Here, we report our current effort to apply adaptive mesh refinement techniques to the simulations of black hole spacetimes and gravitational waves. We solve Einstein’s equations written in the first-order in time and second-order in space form. We demonstrate that using quadratic-order guardcell filling along with “refluxing” of first order derivatives of the variables as interface conditions at the refinement jumps are essential for accurate evolutions of gravitational waves. Some preliminary results for the head-on collisions of binary black holes are also given.
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