An Eulerian method for capturing caustics

JOURNAL OF COMPUTATIONAL PHYSICS

卷:162

Article

Benamou, JD ; Solliec, I

关键词: Hamilton-Jacobi;    free boundary;    caustic;    Hamiltonian system;    ray tracing;    viscosity solution;    upwind scheme;    adaptive grid refinement;   

DOI  :  10.1006/jcph.2000.6530

来源: Elsevier

【 摘 要 】

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 partial differential equations obtained through a local change of the time variable in the Hamilton-Jacobi equation and complemented by a set of transport equations. Numerical results (1- to 3-D) are presented. (C) 2000 Academic Press.

【 授权许可】

Free