A numerical study of nonspherical black hole accretion. I Equations and test problems

The authors have developed a 2D axisymmetric, general relativistic code to study inviscid hydrodynamic accretion flows in a fixed Kerr black hole gravitational field. In this first of several papers documenting the methods and results, they describe and discuss the hydrodynamic equations in the form used in the code. Certain analytic solutions for shock tubes and special accretion flows are derived; these solutions will form the basis for code testing and calibration.

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