Three time-domain computational models for quasi-standing nonlinear acoustic waves, including heat production

Journal of Computational Acoustics

Volumn 14, Issue 2, 2006, Pages 143-156

  Vanhille, Christian ^a   Campos Pozuelo, Cleofé ^b  

^a UNIVERSIDAD REY JUAN CARLOS   (Spain)

^b Consejo Superior de Investigaciones Científicas   (Spain)

Author keywords

Acoustic resonators; Finite difference scheme; High amplitude acoustic waves; Nonlinear acoustics; Numerical simulation; Time domain model

Indexed keywords

EID: 33747104515     PISSN: 0218396X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218396X06002986     Document Type: Article

References (14)

1. A. Lavie and B. Dubus, Méthodes numériques en diffusion acoustique, Sième École d'hiver sur la diffusion acoustique, Cauterets (1996).
2. S. Kirkup, The boundary element method in acoustics, Integrated Sound Software (1998).
3. Nonlinear Acoustics, ed. by M. F. Hamilton and D. T. Blackstock (Academic Press, 1998).
4. C. Campos-Pozuelo, B. Dubus and J. A. Gallego-Juárez, Finite-element analysis of the nonlinear propagation of high intensity acoustic waves, J. Acoust. Soc. Am. 106(1) (1999) 91-101.
5. Y. A. Ilinskii, B. Lipkens, T. S. Lucas, T. W. Van Doren and E. A. Zabolotskaya, Nonlinear standing waves in an acoustical resonator, J. Acoust. Soc. Am. 104(5) (1998) 2664-2674.
6. C. P. Lee and T. G. Wang, Nonlinear resonance and viscous dissipation in an acoustic chamber, J. Acoust. Soc. Am. 92(4) (1992) 2195-2206.
7. T. Yano, Turbulent acoustic streaming excited by resonant gas oscillation with periodic shock waves in a closed tube, J. Acoust. Soc. Am. 106(1) (1999) L7-L12.
8. C. Vanhille and C. Campos-Pozuelo, A high-order finite-difference algorithm for the analysis of standing acoustic waves of finite but moderate amplitude, J. Comput. Phys. 165 (2000) 334-353.
9. C. Vanhille and C. Campos-Pozuelo, Numerical model for nonlinear standing waves and weak shocks in thermoviscous fluids, J. Acoust. Soc. Am. 109 (2001) 2660-2667.
10. L. D. Landau and E. M. Lifshitz, Fluid Mechanics (Butterworth-Heinemann, Oxford, 1987).
11. L. Lapidus and G. F. Pinder, Numerical Solution of Partial Differential Equations in Science and Engineering (Wiley-Interscience, New York, 1999).
12. C. Hirsch, Numerical Computation of Internal and External Flows (John Wiley & Sons, Chichester, 1990).
13. G. D. Smith, Numerical Solution of Partial Differential Equations, Finite Difference Methods 3rd edn. (Clarendon Press, Oxford, 1985).
14. A. D. Pierce, Acoustics (Acoustical Society of America, 1989).