A Scalable Fully Implicit Compressible Euler Solver for Mesoscale Nonhydrostatic Simulation of Atmospheric Flows

@article{Yang2014ASF,
  title={A Scalable Fully Implicit Compressible Euler Solver for Mesoscale Nonhydrostatic Simulation of Atmospheric Flows},
  author={Chao Yang and Xiao-Chuan Cai},
  journal={SIAM J. Scientific Computing},
  year={2014},
  volume={36}
}
A fully implicit solver is developed for the mesoscale nonhydrostatic simulation of atmospheric flows governed by the compressible Euler equations. To spatially discretize the Euler equations on a height-based terrain-following mesh, we apply a cell-centered finite volume scheme, in which an AUSM-up method with a piecewise linear reconstruction is employed to achieve secondorder accuracy for the low-Mach flow. A second-order ESDIRK method with adaptive time stepping is applied to stabilize… CONTINUE READING
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