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

doi:10.3969/j.issn.1674-0696.2020.01.11

Journal of Chongqing Jiaotong University(Natural Science) ›› 2020, Vol. 39 ›› Issue (01): 67-71.DOI: 10.3969/j.issn.1674-0696.2020.01.11

• Bridge & Tunnel Engineering • Previous Articles Next Articles

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

DAI Zhili1,2，XIANG Zhongfu1,2，ZHOU Hui3

(1. Mountainous Areas Bridge Structure and Materials Ministry of Education Engineering Center, Chongqing Jiaotong University, Chongqing 400074, China; 2. School of Civil Engineering, Chongqing Jiaotong University, Chongqing 400074, China; 3. College of Architecture and Urban Planning, Chongqing Jiaotong University, Chongqing 400074, China)

Received:2018-11-05 Revised:2019-04-11 Online:2020-01-12 Published:2020-01-12

矩阵化的有限差分算法声波方程仿真效率分析

代志力1，2，向中富1，2，周蕙3

(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)

作者简介:代志力(1985—)，男，重庆人，博士，主要从事桥梁结构检测方面的研究。Email：daizhilixx@163.com。通信作者：向中富(1960—)，男，重庆人，教授，主要从事桥梁工程设计理论桥梁工程控制技术以及桥梁加固与改造技术研究。Email：1285214989@qq.com。代志力1，2，向中富1，2，周蕙3
基金资助:
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)

Abstract

Abstract: 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.

Key words: bridge engineering, ultrasonic wave, acoustic wave equation, finite difference algorithm, simulation efficiency

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。

关键词: 桥梁工程, 超声波, 声波方程, 有限差分法, 仿真效率

CLC Number:

U447

DAI Zhili1,2，XIANG Zhongfu1,2，ZHOU Hui3. Simulation Efficiency Analysis for Acoustic Wave Equation Based on Matrix Finite Difference Algorithm[J]. Journal of Chongqing Jiaotong University(Natural Science), 2020, 39(01): 67-71.

代志力1，2，向中富1，2，周蕙3. 矩阵化的有限差分算法声波方程仿真效率分析[J]. 重庆交通大学学报（自然科学版）, 2020, 39(01): 67-71.

References

［1］吴佳晔,杨超,季文洪,等.预应力管道灌浆质量检测方法的现状和进展［J］.四川理工学院学报(自然科学版),2010,23(5):500-503.
WU Jiaye, YANG Chao, JI Wenhong, et al.The current situation and progress of the prestress pipe grouting detection method ［J］. Journal of Sichuan University of
Science & Engineering (Natural Science Edition), 2010, 23(5):500-503.
［2］赵明阶.结构砼损伤的超声成像模型研究［J］.重庆交通学院学报,2001,20(增刊1):86-90.
ZHAO Mingjie. Study of the ultrasonic tomographic model in the concrete damage ［J］. Journal of Chongqing Jiaotong University, 2001,20(Sup1):86-90.
［3］赵明阶,徐蓉.超声波CT成像技术及其在大型桥梁基桩无损检测中的应用［J］.重庆交通学院学报,2001,20(2):73-77+86.
ZHAO Mingjie, XU Rong. Ultrasonic tomography technology and its applications in undamage test of bridge foundation piles ［J］. Journal of Chongqing Jiaotong
University, 2001,20(2):73-77+86.
［4］朱自强,密士文,鲁光银,等.金属预应力管道灌浆质量超声检测数值模拟［J］.中南大学学报(自然科学版),2012,43(12):4888-4894.
ZHU Ziqiang, MI Shiwen, LU Guangyin, et al. Numerical simulationof detecting grouting quality of pre-stressed metallic ducts through ultrasonic ［J］. Journal of
Central South University (Science and Technology), 2012, 43(12):4888-4894.
［5］董良国,马在田,曹景忠,等.一阶弹性波方程交错网格高阶差分解法［J］. 地球物理学报,2000,43(3):411-419.
DONG Liangguo, MA Zaitian, CAO Jingzhong, et al. A staggered-grid high-order difference method of one-order elastic wave equation ［J］. Chinese Journal of
Geophysics, 2000, 43(3):411-419.
［6］李胜军,孙成禹,倪长宽,等. 声波方程有限差分数值模拟的变网格步长算法［J］. 工程地球物理学报,2007,4(3):207-212
LI Shengjun, SUN Chengyu, NI Changkuan, et al. Acoustic equation numerical modeling on a grid of varying spacing ［J］.Chinese Journal of Engineering
Geophysics,2007,4(3):207-212.
［7］张文生.微分方程数值解—有限差分理论方法与数值计算［M］.北京:科学出版社,2015.
ZHANG Wensheng. Numerical Solution of Differential Equation--Finite Difference Method and Numerical Calcul-ation ［M］. Beijing:Science Press, 2015.
［8］孙成禹, 李振春, 杜世通. 地震波动力学基础［M］. 北京：石油工业出版社, 2011:53-60.
SUN Chengyu, LI Zhenchun, DU Shitong . Fundamentals of Seismic Wave Dynamics ［M］. Beijing:Petroleum Industry Press, 2011:53-60.
［9］密士文. 混凝土中超声波传播机理及预应力管道压浆质量检测方法研究［D］. 长沙：中南大学, 2013.
MI Shiwen. Study on Mechanism of Ultrasonic Propagation in Concrete and Method of Detecting Grouting Quality in Pre-Stressed Tendon Ducts ［D］. Changsha:Central
South University, 2013.
［10］黄靓. 混凝土超声波层析成像的理论方法和试验研究［D］. 长沙：湖南大学, 2008.
HUANG Liang. Methodology and Experiment Research on Concrete Ultrasonic Computerized Tomography ［D］. Changsha:Hunan Univer-sity, 2008.
［11］俞寿朋. 宽带Ricker子波［J］.石油地球物理勘探,1996,31(5):605-615.
YU Shoupeng. Wide-band ricker wavelet［J］. Oil Geophysical Prospecting, 1996, 31(5):605-615.

[1]	ZHOU Jianting1,2, LI Ya2, ZHANG Hong2, XIA Runchuan2, YANG Wenqi2. Two Point Corrosion Test Study of Steel Strands Based on Spontaneous Magnetic Flux Leakage Detection [J]. Journal of Chongqing Jiaotong University(Natural Science), 2021, 40(07): 74-81.
[2]	ZHANG Hua1, ZHANG Zhengqi2, CHENG Gao3,4, TIAN Boke1. Rational Distance of Pile Foundation in Precipitous Cliff Section of Loess Area [J]. Journal of Chongqing Jiaotong University(Natural Science), 2021, 40(07): 93-98.
[3]	LIU Jinchun, SONG Zixuan, LIANG Dong. Spatial Effect Analysis of Single Box Three Chambers Continuous Girder Bridge under Transverse Temperature Gradient and Eccentric Vehicle Load [J]. Journal of Chongqing Jiaotong University(Natural Science), 2021, 40(06): 80-86.
[4]	ZHENG Zhi1,2, GENG Bo2, YUAN Pei2, LI Songlin2, HU Zhengtao3. Experimental Study on a New Connection Structure of Anti-collision Device for Pier Composite Materials [J]. Journal of Chongqing Jiaotong University(Natural Science), 2021, 40(05): 66-73.
[5]	ZHANG Yang1, QU Shaoqin1, LU Jiuzhang2, HUO Wenbing3. Method of Fiber Aligning in UHPC and Its Influence on the Tensile Performance [J]. Journal of Chongqing Jiaotong University(Natural Science), 2021, 40(05): 74-80.
[6]	FU Lilei. Correlation Function Method for Parameter Identification Based on Random Excitation Response [J]. Journal of Chongqing Jiaotong University(Natural Science), 2021, 40(04): 70-75.
[7]	SU Xiaobo1, XIAO Lin2. Model Test and Numerical Simulation Research on Reasonable Structure of Steel-Concrete Composite Section in Space Rigid Frame [J]. Journal of Chongqing Jiaotong University(Natural Science), 2021, 40(04): 76-82.
[8]	LIANG Zongbao 1, CHAI Jie1, NA Shouyong2, MA Tianli1, TANG Yu1. Validity Analysis of Bridge Health Monitoring Data Based on Deep Learning [J]. Journal of Chongqing Jiaotong University(Natural Science), 2021, 40(03): 78-83.
[9]	TANG Qizhi1, XIN Jingzhou1,2, ZHOU Jianting1, FU Lei1,3, ZHANG Jun4. Damage Identification of Corroded RC Arch Based on Time Series Analysis:Simulation and Verification [J]. Journal of Chongqing Jiaotong University(Natural Science), 2021, 40(02): 69-77.
[10]	RONG Xian1, 2, YANG Hongwei1, ZHANG Jianxin1, 2. Experimental Research on Hysteresis Behavior of Prefabricated Concrete Beam-Column Joint with Steel End Connector [J]. Journal of Chongqing Jiaotong University(Natural Science), 2021, 40(02): 78-82.
[11]	LIU Xiaohui, XU Yang, CHEN Sitian, XU Lueqin. Seismic Response Analysis of Pedestrian Suspension Bridge [J]. Journal of Chongqing Jiaotong University(Natural Science), 2021, 40(01): 65-71.
[12]	JU Liping1, WANG Yinhui2, LU Xiaohong3, SHAN Jidong4. Failure Mode Analysis of Reinforced Concrete Box Girder under Impact of a Falling Cargo from Passing Truck [J]. Journal of Chongqing Jiaotong University(Natural Science), 2021, 40(01): 72-78.
[13]	WANG Zhen1,2, ZHOU Jianting1,3, ZHANG Jinquan1,4, WU Haijun1, WU Yuexing1. Influence Analysis of Cast-in-Situ Segment Length on Mechanical Behavior of Ten-Thousand-Ton Horizontal Swivel Cable-Stayed Bridge [J]. Journal of Chongqing Jiaotong University(Natural Science), 2020, 39(12): 44-52.
[14]	HAO Xianwu, SHU Peng, HAO Jianming. Static Wind Stability of Long-Span Asymmetric Suspension Bridge [J]. Journal of Chongqing Jiaotong University(Natural Science), 2020, 39(12): 53-59.
[15]	CHEN Sitian, PENG Qing, YANG Min. Human-Induced Vibration Response Analysis of Long-Span Pedestrian Suspension Glass Bridge in Kanggu Parkland [J]. Journal of Chongqing Jiaotong University(Natural Science), 2020, 39(12): 60-66.

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

矩阵化的有限差分算法声波方程仿真效率分析

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics