Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
799170 | Mechanics Research Communications | 2012 | 6 Pages |
Abstract
Finite scale equations are coarse-grained PDEs that describe the evolution of density, momentum and energy fields averaged over finite intervals of space and time. These analytic equations have been found to be a useful model for analyzing and verifying discrete algorithms employed in numerical simulation. In this paper, we derive traveling wave solutions for finite scale shocks and compare the results with averaged solutions of Navier–Stokes. We find that the finite scale equations accurately predict the shock speed and width and the jump conditions relating the pre and post shock states.
Related Topics
Physical Sciences and Engineering
Engineering
Mechanical Engineering
Authors
L.G. Margolin, D.E. Vaughan,