Physics and computations of gas dynamic waves
Abstract
The propagation of acoustic signals, of gasdynamic wave fronts, and of physical and numerical information is expressed in a common mathematical form in terms of the geometry of moving surfaces on which the characteristic determinant vanishes. Characteristic surfaces, vortex sheets, contact surfaces, and shock waves all have associated with them ray fields defined by integral curves of a set of Hamiltonian equations. Possibilities of computing gas flows, with and without singular surfaces, by a geometrical construction are discussed, and examples from the literature are cited.
 Publication:

Computers and Fluids
 Pub Date:
 1989
 Bibcode:
 1989CF.....17..127K
 Keywords:

 Acoustic Propagation;
 Computational Fluid Dynamics;
 Gas Dynamics;
 Geometrical Acoustics;
 Euler Equations Of Motion;
 Finite Difference Theory;
 Flow Geometry;
 Hamiltonian Functions;
 Wave Fronts;
 Fluid Mechanics and Heat Transfer