An Examination of Homentropic Euler Equations with Averaged Characteristics

@inproceedings{Norgard2009AnEO,
  title={An Examination of Homentropic Euler Equations with Averaged Characteristics},
  author={Gregory Norgard and Kamran Mohseni},
  year={2009}
}
This paper examines the properties of the homentropic Euler equations when the characteristics of the equations have been spatially averaged. The new equations are referred to as the characteristically averaged homentropic Euler (CAHE) equations. An existence and uniqueness proof for the modified equations is given. The speed of shocks for the CAHE equations are determined. The Riemann problem is examined and a general form of the solutions is presented. Finally, numerically simulations on the… CONTINUE READING

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