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A new representation of the Einstein evolution equations is presented that is first order, linearly degenerate, and symmetric hyperbolic. This new system uses the generalized harmonic method to specify the coordinates, and exponentially suppresses all small short-wavelength constraint violations. Physical and constraint-preserving boundary conditions are… (More)

- Michael Boyle, Duncan A. Brown, +5 authors Saul A. Teukolsky
- 2007

Michael Boyle, Duncan A. Brown, Lawrence E. Kidder, Abdul H. Mroué, Harald P. Pfeiffer, Mark A. Scheel, Gregory B. Cook, and Saul A. Teukolsky Theoretical Astrophysics 130-33, California Institute of Technology, Pasadena, California 91125, USA LIGO Laboratory, California Institute of Technology, Pasadena, California 91125, USA Department of Physics,… (More)

The first spectral numerical simulations of 16 orbits, merger, and ringdown of an equal-mass nonspinning binary black hole system are presented. Gravitational waveforms from these simulations have accumulated numerical phase errors through ringdown of & 0:1 radian when measured from the beginning of the simulation, and& 0:02 radian when waveforms are time… (More)

A method is introduced for solving Einstein’s equations using two distinct coordinate systems. The coordinate basis vectors associated with one system are used to project out components of the metric and other fields, in analogy with the way fields are projected onto an orthonormal tetrad basis. These field components are then determined as functions of a… (More)

Harald P. Pfeiffer∗, Lawrence E. Kidder†, Mark A. Scheel‡, and Saul A. Teukolsky§ ∗ Department of Physics, Cornell University, Ithaca, New York 14853 , † Center for Radiophysics and Space Research, Cornell University, Ithaca, New York 14853, ‡ California Institute of Technology, Pasadena, California 91125, and § Department of Astrophysics, American Museum… (More)

New boundary conditions are constructed and tested numerically for a general first-order form of the Einstein evolution system. These conditions prevent constraint violations from entering the computational domain through timelike boundaries, allow the simulation of isolated systems by preventing physical gravitational waves from entering the computational… (More)

- Michael Boyle, Alessandra Buonanno, +4 authors Mark A. Scheel
- 2008

Michael Boyle, Alessandra Buonanno, Lawrence E. Kidder, Abdul H. Mroué, Yi Pan, Harald P. Pfeiffer, and Mark A. Scheel Theoretical Astrophysics 130-33, California Institute of Technology, Pasadena, California 91125, USA Maryland Center for Fundamental Physics, Department of Physics, University of Maryland, College Park, Maryland 20742, USA Center for… (More)

We present a code for solving the coupled Einstein-hydrodynamics equations to evolve relativistic, selfgravitating fluids. The Einstein field equations are solved in generalized harmonic coordinates on one grid using pseudospectral methods, while the fluids are evolved on another grid using shock-capturing finite difference or finite volume techniques. We… (More)

Motivated by the need to control the exponential growth of constraint violations in numerical solutions of the Einstein evolution equations, two methods are studied here for controlling this growth in general hyperbolic evolution systems. The first method adjusts the evolution equations dynamically, by adding multiples of the constraints, in a way designed… (More)

- Andrea Taracchini, Alessandra Buonanno, +11 authors Anil Zenginoglu
- 2013

Andrea Taracchini, Alessandra Buonanno, Yi Pan, Tanja Hinderer, Michael Boyle, Daniel A. Hemberger, Lawrence E. Kidder, Geoffrey Lovelace, Abdul H. Mroué, Harald P. Pfeiffer, Mark A. Scheel, Béla Szilágyi, Nicholas W. Taylor, and Anil Zenginoglu Department of Physics, Maryland Center for Fundamental Physics and Joint Space-Science Institute, University of… (More)