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Grid alignment effects and rotated methods for computing complex flows in astrophysics

by R. J. LeVeque and R. Walder

(Report number 1991-09)

Abstract
We discuss some advantages and difficulties of Cartesian grid calculations on high Mach number flows. We show and explain strong grid alignment effects even in smooth flow regions and in steady state solutions. We present first order rotated schemes for the Euler equations which are able to overcome some of the difficulties, but still display strong dependence of shock positions and speeds on the underlying scheme.

Keywords: gas dynamics, grid alignment effects, transonic rarefaction, rotated schemes, flows in astrophysics

@Techreport{LW91_9,
  author = {R. J. LeVeque and R. Walder},
  title = {Grid alignment effects and rotated methods for computing complex flows in astrophysics},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {1991-09},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports1991/1991-09.pdf },
  year = {1991}
}

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