矩阵化的有限差分算法声波方程仿真效率分析  

Simulation Efficiency Analysis for Acoustic Wave Equation Based on Matrix Finite Difference Algorithm

作　　者：代志力 向中富[1,2] 周蕙[3] DAI Zhili;XIANG Zhongfu;ZHOU Hui(Mountainous Areas Bridge Structure and Materials Ministry of Education Engineering Center,Chongqing JiaotongUniversity,Chongqing 400074,China;School of Civil Engineering,Chongqing Jiaotong University,Chongqing 400074,China;College of Architecture and Urban Planning,Chongqing Jiaotong University,Chongqing 400074,China)

机构地区：[1]重庆交通大学山区桥梁结构与材料教育部工程研究中心,重庆400074 [2]重庆交通大学土木工程学院,重庆400074 [3]重庆交通大学城市建筑与规划学院,重庆400074

出　　处：《重庆交通大学学报（自然科学版）》2020年第1期67-71,共5页Journal of Chongqing Jiaotong University(Natural Science)

基　　金：重庆交通大学山区桥梁结构与材料教育部工程研究中心开放基金(QLGZX-JJ2017-6);重庆市研究生教育创新基金(CYB18168)

摘　　要：超声波在桥梁检测中具有广泛的应用,其在物体内的传播过程是超声波成像检测研究中的重要内容,可以用计算机仿真的方法对超声波的传播过程进行仿真模拟。有限差分法是比较常见的仿真算法,为了提高算法的仿真效率,提出了一种矩阵化的有限差分仿真算法。当仿真面积较小时,该算法可以大幅提升仿真效率。在一定范围以内,仿真效率的提升率与仿真面积大致成反比。最后通过仿真结果的对比得出,矩阵化算法和常规算法具有相同的仿真结果,并具有更高的仿真效率。Ultrasonic wave is widely used in bridge detection,and its propagation process in the object is an important content in the research of ultrasonic imaging detection. The propagation process of ultrasonic can be simulated by computer simulation. And the finite difference algorithm is a common algorithm. To improve the simulation efficiency of the algorithm,a matrix finite difference simulation algorithm was proposed. When the simulation area was small,the proposed algorithm can greatly improve the simulation efficiency. Within a certain range,the simulation efficiency improvement rate was inversely proportional to the simulation area approximately. Finally,through the comparison of simulation results,it is concluded that the matrix finite difference algorithm has the same simulation results with the conventional algorithm,and has higher simulation efficiency.

关 键 词：桥梁工程 超声波 声波方程 有限差分法 仿真效率 

分 类 号：U447[建筑科学—桥梁与隧道工程]