对声波和弹性波传播模拟的Hamilton系统方法

Hamiltonian system approach for simulation of acoustic and elastic wave propagation

建立了离散化网格上的准粒子体系 ,引入此体系的Hamilton系统描述 ,用来模拟声波和弹性波的传播 .介绍了准粒子间相互作用的九点模型并给出互作用系数 .证明了Hamilton系统方法和声波、弹性波方程的关系 ,并给出两个方法中所使用物理量的关系 .使用辛算法对给定的介质模型进行数值模拟 .

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 inter-action 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.