| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4612601 | Journal of Differential Equations | 2010 | 20 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
