Accurate Radiation Boundary Conditions for the Linearized Euler Equations in Cartesian Domains

@article{Hagstrom2002AccurateRB,
  title={Accurate Radiation Boundary Conditions for the Linearized Euler Equations in Cartesian Domains},
  author={Thomas Hagstrom and John Goodrich},
  journal={SIAM J. Scientific Computing},
  year={2002},
  volume={24},
  pages={770-795}
}
We construct, analyze, and test convergent sequences of radiation boundary conditions at planar boundaries for the compressible Euler equations linearized about a uniform, subsonic flow. First we formulate well-posed exact conditions, identifying one which involves only a single nonlocal term at each boundary. Next we develop the basic convergence theory for rational approximations to the symbol of the nonlocal term, which we then specialize to the Pade approximants. Finally, we present… CONTINUE READING

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