Hyperboloidal evolution of test fields in three spatial dimensions

Journal Article · Tue Jun 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.124010· OSTI ID:21408070

Zenginoglu, Anil ^[1]; Kidder, Lawrence E ^[2]

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1. M. Smoluchowski Institute of Physics, Jagiellonian University, Krakow (Poland)
2. Center for Radiophysics and Space Research, Cornell University, Ithaca, New York, 14853 (United States)

We present the numerical implementation of a clean solution to the outer boundary and radiation extraction problems within the 3+1 formalism for hyperbolic partial differential equations on a given background. Our approach is based on compactification at null infinity in hyperboloidal scri fixing coordinates. We report numerical tests for the particular example of a scalar wave equation on Minkowski and Schwarzschild backgrounds. We address issues related to the implementation of the hyperboloidal approach for the Einstein equations, such as nonlinear source functions, matching, and evaluation of formally singular terms at null infinity.

• OSTI ID: 21408070
• Journal Information: Physical Review. D, Particles Fields, Vol. 81, Issue 12; Other Information: DOI: 10.1103/PhysRevD.81.124010; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COMPACTIFICATION
COMPUTERIZED SIMULATION
EINSTEIN FIELD EQUATIONS
EXTRACTION
MATHEMATICAL SOLUTIONS
MINKOWSKI SPACE
NONLINEAR PROBLEMS
THREE-DIMENSIONAL CALCULATIONS
WAVE EQUATIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD EQUATIONS
MATHEMATICAL SPACE
PARTIAL DIFFERENTIAL EQUATIONS
SEPARATION PROCESSES
SIMULATION
SPACE