Numerical simulations of 2D potential flows in general relativity

Physics

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Scientific paper

Numerical solutions via the local characteristic approach have been obtained for the general-relativistic potential flow passing over a hard sphere and a black hole. These solutions have been used as a test of a two-dimensional code which extends some high-resolution shock-capturing methods, designed recently to solve nonlinear hyperbolic systems of conservation laws, to find the numerical solution of a wave equation in a multidimensional curved space-time.

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