An Examination of Homentropic Euler Equations with Averaged Characteristics

2009/02/26 by Gregory Norgard, Norgard, Gregory, Kamran Mohseni +1
Physics and Astronomy · #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #physics.flu-dyn

paper · pdf · doi:10.48550/arxiv.0902.4729

arxiv created 2009/04/30 · arxiv updated 2009/12/01

Abstract

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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