A Direct Eulerian GRP Scheme for Spherically Symmetric General Relativistic Hydrodynamics

  title={A Direct Eulerian GRP Scheme for Spherically Symmetric General Relativistic Hydrodynamics},
  author={Kailiang Wu and Huazhong Tang},
  journal={SIAM J. Sci. Comput.},
The paper proposes a second-order accurate direct Eulerian generalized Riemann problem (GRP) scheme for the spherically symmetric general relativistic hydrodynamical (RHD) equations and a second-order accurate discretization for the spherically symmetric Einstein (SSE) equations. The former is directly using the Riemann invariants and the Runkine--Hugoniot jump conditions to analytically resolve the left and right nonlinear waves of the local GRP in the Eulerian formulation together with the… 

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  • Kailiang Wu
  • Computer Science
    SIAM Journal on Scientific Computing
  • 2021
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