Open AccessHamiltonian system approach for simulation of acoustic and elastic wave propagat ion
Author(s) -
Cao Yu,
Kelu Yang
Publication year - 2003
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.52.1984
Subject(s) - hamiltonian (control theory) , symplectic geometry , hamiltonian system , physics , lattice (music) , classical mechanics , statistical physics , mathematical analysis , acoustics , mathematics , mathematical optimization
This paper develops a system with quasi-particles on a discrete lattice, Hamiltonian description of this system is presented,which can simulate acoustic and elastic waves. The nine-point interaction models are used and interaction coefficients are determined in this system. The connection between Hamiltonian system approach and acoustic or elastic wave equations are proved, and the relations between their physical quantities are presented. The symplectic algorithms that are used in the given media models and simulation results are presented.