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Foil 26 A benchmark Numerical Relativity problem

From Master Foilset of Numerical Formulation and Solution of Collision 0f two Black Holes CPSP713 Case studies in Computational Science -- Spring Semester 1996. by Geoffrey C. Fox * See also color IMAGE
The numerical relativity problem has several key features
Our first example is based on work of University of Pittsburgh group involving R. Gomez and J.Winicour
  • R. Gomez, R. Isaacson and J. Winicour, Journal Computational Physics, 98,11(1992)
  • R. Gomez, J. Winicour, "Gravitational Wave Extraction - A Benchmark ?"
This studies the wave-like features of Einstein's equations where key numerical problem is reliable extraction of Gravitational waves
This is nontrivial as gravitational waves can only be extracted after one has evolved a "long way" from the black holes
It is difficult numerically to reliable evolve oscillating solutions through long distances
  • See examples of convection equations in Hirsch

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