弹性波时域仿真的两个问题  

Some Problems of Elastic Waves Simulation in Time Domain

作　　者：郑宏兴[1] 黄文武[1] 谢洪波[1] 郁道银[1] 陈晓东[1] 

机构地区：[1]天津大学精密仪器与光电子工程学院光电信息技术科学教育部重点实验室,天津300072

出　　处：《天津大学学报（自然科学与工程技术版）》2005年第4期338-342,共5页Journal of Tianjin University：Science and Technology

基　　金：中国博士后科学基金资助课题(2003033028)

摘　　要：为了解决医学超声探测的动态计算机仿真问题,将计算电磁学的时域有限差分(FDTD)方法应用于弹性机械波的模拟.建立了模拟弹性波时的有限差分模型,给出了弹性媒质运动学方程的FDTD离散形式,提出了复杂媒质边界的处理方法,用完全匹配层吸收边界截断计算区域.数值实验验证了上述模型和计算方法的有效性.In order to obtain the dynamic computer model of the medical ultrasonic exploration,an innovative numerical method,the finite-difference time domain method, which has been widely used in computational electrodynamics,is applied to solving the elastic mechanical waves in time domain.The model of the finite-difference on elastic waves has been set up based on the (Yee′s) algorithm. The governing equations of the motion and stress-strain relation coming from a first order stress-velocity formula are obtained, which are discretized using centered difference approximation. The processing method of complex media across borderline is discussed. A perfectly matched layer absorbing boundary condition to break computational area is presented. Numerical experiments proved the effectiveness of the proposed algorithm.

关 键 词：弹性波 超声探测技术 计算机 电磁学 时域有限差分法 完全匹配层 医学 

分 类 号：R445.1[医药卫生—影像医学与核医学]