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Strategies for the characteristic extraction of gravitational waveforms

Babiuc, M. C. and Bishop, N. T. and Szilágyi, B. and Winicour, J. (2009) Strategies for the characteristic extraction of gravitational waveforms. Physical Review D, 79 (8). 084011. ISSN 2470-0010.

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We develop, test, and compare new numerical and geometrical methods for improving the accuracy of extracting waveforms using characteristic evolution. The new numerical method involves use of circular boundaries to the stereographic grid patches which cover the spherical cross sections of the outgoing null cones. We show how an angular version of numerical dissipation can be introduced into the characteristic code to damp the high frequency error arising form the irregular way the circular patch boundary cuts through the grid. The new geometric method involves use of the Weyl tensor component Psi4 to extract the waveform as opposed to the original approach via the Bondi news function. We develop the necessary analytic and computational formula to compute the O(1/r) radiative part of Psi4 in terms of a conformally compactified treatment of null infinity. These methods are compared and calibrated in test problems based upon linearized waves.

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Additional Information:© 2009 American Physical Society. Received 6 August 2008; published 7 April 2009. We thank Thomas Maedler for checking the calculations in Sec. IIIB and G. L. Browning for correspondence concerning the application of stereographic patches in computational fluid dynamics. N. T. B. thanks Max-Planck- Institut fu¨r Gravitationsphysik, Albert-Einstein-Institut for hospitality; B. S. thanks University of South Africa for hospitality; and M. C. B. thanks University of Pittsburgh for hospitality. We have benefited from the use of the Cactus Computational Toolkit (http://www.cactuscode. org). Computer time was provided by the Pittsburgh Supercomputing Center through TeraGrid Wide Roaming Access Computational Resources , and we owe special thanks to R. Go´mez for his assistance. This work was supported by the Sherman Fairchild Foundation and the National Science Foundation under grants PHY-061459 and PHY-0652995 to the California Institute of Technology; the National Science Foundation grant PH- 0553597 to the University of Pittsburgh; and by the National Research Foundation, South Africa, under GUN 2075290.
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Sherman Fairchild FoundationUNSPECIFIED
National Research Foundation (South Africa)GUN 2075290
Issue or Number:8
Record Number:CaltechAUTHORS:20090701-151146004
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:14478
Deposited By: Jason Perez
Deposited On:12 Aug 2009 19:59
Last Modified:03 Oct 2019 00:50

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