Two-Dimensional Simulation of Nonlinear Acoustic Wave Propagation Using Constrained Interpolation Profile Method

被引:14
作者
Konno, Masahito [1 ]
Okubo, Kan [1 ]
Tsuchiya, Takao [2 ]
Tagawa, Norio [1 ]
机构
[1] Tokyo Metropolitan Univ, Grad Sch Syst Design, Tokyo 1910065, Japan
[2] Doshisha Univ, Dept Informat Syst Design, Kyoto 6100321, Japan
关键词
TIME-DOMAIN METHOD; SEMI-LAGRANGIAN SCHEME; EQUATIONS; FIELDS; CIP;
D O I
10.1143/JJAP.48.07GN01
中图分类号
O59 [应用物理学];
学科分类号
摘要
In this study, a numerical simulation of the nonlinear sound wave propagation in the time domain is demonstrated by constrained interpolation profile/cubic-interpolated pseudoparticle (CIP) method. The CIP method is a novel numerical scheme which was proposed by Yabe et al. It is a method of characteristics (MOC) and is a low-dispersion and stable scheme. The CIP method is suitable for analysis of nonlinear wave propagation including weak shock formation because the rapid pressure change, such as that caused by a shock front, easily causes numerical dispersion error in a conventional numerical scheme. Some of the authors have reported application of the CIP method to a one-dimensional nonlinear sound wave propagation in air. Then, we demonstrate a numerical calculation of the nonlinear sound wave propagation for a two-dimensional acoustic field. (C) 2009 The Japan Society of Applied Physics
引用
收藏
页数:5
相关论文
共 21 条
[1]  
Aoki T., 1995, Computational Fluid Dynamics Journal, V4, P279
[2]   Analysis of characteristics of underwater sound propagation in the ocean by a finite difference time domain method [J].
Iijima, F ;
Tsuchiya, T ;
Endoh, N .
JAPANESE JOURNAL OF APPLIED PHYSICS PART 1-REGULAR PAPERS SHORT NOTES & REVIEW PAPERS, 2000, 39 (5B) :3200-3204
[3]  
Kamakura T., 1996, FUNDAMENTALS NONLINE, P61
[4]   Numerical calculation and measurement of nonlinear acoustic fields in ultrasound diagnosis [J].
Kawagishi, T ;
Saito, S ;
Mine, Y .
JAPANESE JOURNAL OF APPLIED PHYSICS PART 1-REGULAR PAPERS SHORT NOTES & REVIEW PAPERS, 2002, 41 (5B) :3549-3554
[5]   Performances of Various Types of Constrained Interpolation Profile Method for Two-Dimensional Numerical Acoustic Simulation [J].
Konno, Masahito ;
Okubo, Kan ;
Tsuchiya, Takao ;
Tagawa, Norio .
JAPANESE JOURNAL OF APPLIED PHYSICS, 2008, 47 (05) :3962-3963
[6]   THE ULTIMATE CONSERVATIVE DIFFERENCE SCHEME APPLIED TO UNSTEADY ONE-DIMENSIONAL ADVECTION [J].
LEONARD, BP .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1991, 88 (01) :17-74
[7]   Acoustic defect-mode waveguides fabricated in sonic crystal: Numerical analyses by elastic finite-difference time-domain method [J].
Miyashita, Toyokatsu .
JAPANESE JOURNAL OF APPLIED PHYSICS PART 1-REGULAR PAPERS BRIEF COMMUNICATIONS & REVIEW PAPERS, 2006, 45 (5B) :4440-4447
[8]   Numerical analysis of sound pressure fields focused by phase continuous fresnel lens using finite difference time domain method [J].
Mori, Kazuyoshi ;
Miyazaki, Ayano ;
Ogasawara, Hanako ;
Nakamura, Toshiaki ;
Takeuchi, Yasuhito .
JAPANESE JOURNAL OF APPLIED PHYSICS PART 1-REGULAR PAPERS BRIEF COMMUNICATIONS & REVIEW PAPERS, 2007, 46 (7B) :4990-4997
[9]   Exactly conservative semi-Lagrangian scheme for multi-dimensional hyperbolic equations with directional splitting technique [J].
Nakamura, T ;
Tanaka, R ;
Yabe, T ;
Takizawa, K .
JOURNAL OF COMPUTATIONAL PHYSICS, 2001, 174 (01) :171-207
[10]   Analysis of an electromagnetic field created by line current using constrained interpolation profile method [J].
Okubo, Kan ;
Takeuchi, Nobunao .
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2007, 55 (01) :111-119