A HYBRID ADVECTION SCHEME FOR CONSERVING ANGULAR MOMENTUM ON A REFINED CARTESIAN MESH

@article{Byerly2014AHA,
  title={A HYBRID ADVECTION SCHEME FOR CONSERVING ANGULAR MOMENTUM ON A REFINED CARTESIAN MESH},
  author={Zachary D. Byerly and Bryce Adelstein-Lelbach and Joel E. Tohline and Dominic C. Marcello},
  journal={The Astrophysical Journal Supplement Series},
  year={2014},
  volume={212}
}
We test a new “hybrid” scheme for simulating dynamical fluid flows in which cylindrical components of the momentum are advected across a rotating Cartesian coordinate mesh. This hybrid scheme allows us to conserve angular momentum to machine precision while capitalizing on the advantages offered by a Cartesian mesh, such as a straightforward implementation of mesh refinement. Our test focuses on measuring the real and imaginary parts of the eigenfrequency of unstable nonaxisymmetric modes that… 

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