Numerical simulation of nonlinear sound wave propagation using constrained interpolation profile method: One-dimensional case

Japanese Journal of Applied Physics

Volumn 47, Issue 5 PART 2, 2008, Pages 3952-3958

  Tsuchiya, Takao ^a   Okubo, Kan ^a,b   Takeuchi, Nobunao ^a,c  

^a DOSHISHA UNIVERSITY   (Japan)

^b TOKYO METROPOLITAN UNIVERSITY   (Japan)

^c AKITA PREFECTURAL UNIVERSITY   (Japan)

Author keywords

CIP method; Cip CSL4 method; Nonlinear sound wave propagation

Indexed keywords

ACOUSTIC FIELDS; ACOUSTIC WAVE PROPAGATION; ACOUSTICS; ADVECTION; COMPUTER SIMULATION; INTERPOLATION; LAGRANGE MULTIPLIERS; SPEED; TURBULENT FLOW; ULTRASONIC VELOCITY MEASUREMENT; VELOCITY CONTROL; WAVE PROPAGATION; WAVES;

ADVECTION TERMS; ANALYTICAL RESULTS; CIP METHOD; CIP METHODS; CIP-CSL4 METHOD; CONSTRAINED INTERPOLATION PROFILES; GRID POINTS; LAGRANGIAN; METHOD OF CHARACTERISTICS; NONLINEAR; NONLINEAR SOUND WAVE PROPAGATION; NONLINEAR TERMS; NUMERICAL DISPERSIONS; NUMERICAL RESULTS; NUMERICAL SIMULATIONS; PARTICLE VELOCITIES; SOUND PROPAGATIONS; SOUND SPEEDS; SOUND WAVE PROPAGATIONS; SPATIAL DERIVATIVES; TIME DOMAINS;

NONLINEAR EQUATIONS;

EID: 54949144413     PISSN: 00214922     EISSN: 13474065     Source Type: Journal    
DOI: 10.1143/JJAP.47.3952     Document Type: Article

References (19)

1. K. S. Yee: IEEE Trans. Antennas Propag. 14 (1966) 302.
2. C. Yamaya and H. Inoue: Jpn. J. Appl. Phys. 45 (2006) 4429.
3. T. Miyashita: Jpn. J. Appl. Phys. 45 (2006) 4440.
4. M. Sato: Jpn. J. Appl. Phys. 45 (2006) 4453.
5. Y. Saito, T. Tsuchiya, and N. Endoh: Jpn. J. Appl. Phys. 45 (2006) 4693.
6. K. Mori, A. Miyazaki, H. Ogasawara, T. Yokoyama, and T. Nakamura: Jpn. J. Appl. Phys. 45 (2006) 4834.
7. T. Aoyagi, M. Nakazawa, and S. Ueha: Jpn. J. Appl. Phys. 46 (2007) 4486.
8. M. Sato: Jpn. J. Appl. Phys. 46 (2007) 4514.
9. A. Hosokawa: Jpn. J. Appl. Phys. 46 (2007) 4862.
10. K. Mori, A. Miyazaki, H. Ogasawara, T. Nakamura, and Y. Takeuchi: Jpn. J. Appl. Phys. 46 (2007) 4990.
11. R. Courant, E. Isaacson, and M. Rees: Common. Pure Appl. Math. 5 (4 952) 243.
12. A. Harten: SIAM J. Numer. Anal. 21 (1984) 1.
13. S. K. Lele: J. Comput. Phys. 103 (1992) 16.
14. H. Takewaki, A. Nishiguchi, and T. Yabe: J. Comput. Phys. 61 (1985) 261.
15. T. Yabe, T. Utsumi, and Y. Ogata: CIP Method (Morikita, Tokyo, 2003) [in Japanese].
16. T. Kamakura: Fundamentals of Nonlinear Acoustics (Aichi Shuppan, Tokyo, 1996) [in Japanese].
17. T. Tsuchiya: Jpn. J. Appl. Phys. 46 (2007) 4809.
18. R. Tanaka, T. Nakamura, and T. Yabe: Comput. Phys. Commun. 126 (2000) 232.
19. H. Mitome: J. Acoust. Soc. Am. 86 (1989) 2334.