Three-dimensional gas dynamics in a sphere

Astronomy and Astrophysics – Astronomy

Scientific paper

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Black Holes (Astronomy), Gas Dynamics, Gravitational Collapse, Gravitational Waves, Stellar Evolution, Supernovae, Chebyshev Approximation, Legendre Functions, Partial Differential Equations, Spectrum Analysis, Spheres, Wave Equations

Scientific paper

The present numerical method for solving three-dimensional PDFs in a sphere subject to various boundary conditions was developed with a view to the characterization of the gravitational-collapse process for a star which ends in either the formation of a supernova or a black hole, with subsequent gravitational radiation emissions. Attention is given to the application of a spectral analysis-based numerical method to the solution of three-dimensional waveequations, as well as to the solutions of gas-dynamics equations for various pertinent cases.

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