An Examination of Homentropic Euler Equations with Averaged Characteristics

Details An Examination of Homentropic Euler Equations with Averaged Characteristics An Examination of Homentropic Euler Equations with Averaged Characteristics

2009-02-26

arxiv.org/abs/0902.4729v2

Physics

Fluid Dynamics

Scientific paper

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 homentropic Euler and CAHE equations are conducted and the behaviors of the two sets of equations are compared.

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