Superposition of Multi-Valued Solutions in High Frequency Wave Dynamics

The weakly coupled WKB system captures high frequency wave dynamics in many applications. For such a system a level set method framework has been recently developed to compute multi-valued solutions to the Hamilton-Jacobi equation and evaluate position density accordingly. In this paper we propose two approaches for computing multi-valued quantities related to density, momentum as well as energy. Within this level set framework we show that physical observables evaluated in Jin et al. (J. Comput. Phys. 210(2):497

• Type: Journal
• Year: 2008
• Where: JSCIC
• Authors: Hailiang Liu, Zhongming Wang
• Keywords: JSCIC 2008, Multi-valued, Multi-valued Quantities, Weakly Coupled Wkb