An examination of Homentropic Euler equations with Averaged Characteristics
نویسندگان
چکیده
The concept of employing averaged velocities in conservation laws is not a new one. This paper takes an approach and applies it to Homentropic Euler equations. The results are equations that we refer to as the Characteristically Averaged Homentropic Euler (CAHE) equations. This paper presents the derivation of the equations and an existence uniqueness proof for the derived equations. The speeds for shocks found in the CAHE equations are calculated. Solutions to the Riemann problem are examined analytically and numerically and are then compared to solutions of the Homentropic Euler equations.
منابع مشابه
An examination of the homentropic Euler equations with averaged characteristics
Article history: Received 30 April 2009 Revised 24 August 2009 Available online xxxx
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