An Eulerian method for capturing caustics

Authors
Benamou, JD Solliec, I
Citation
Jd. Benamou et I. Solliec, An Eulerian method for capturing caustics, J COMPUT PH, 162(1), 2000, pp. 132-163
Citations number
27
Categorie Soggetti
Physics
Journal title
JOURNAL OF COMPUTATIONAL PHYSICS
ISSN journal
00219991 → ACNP
Volume
162
Issue
1
Year of publication
2000
Pages
132 - 163
Database
ISI
SICI code
0021-9991(20000720)162:1<132:AEMFCC>2.0.ZU;2-E
Abstract
A robust numerical method for the localization of caustics is proposed for general Hamiltonians. It is based on the direct resolution of a system of p artial differential equations obtained through a local change of the time v ariable in the Hamilton-Jacobi equation and complemented by a set of transp ort equations. Numerical results (1- to 3-D) are presented. (C) 2000 Academ ic Press.