Cumulative nonlinear effects in acoustic wave propagation

CMES - Computer Modeling in Engineering and Sciences

Volumn 17, Issue 1, 2007, Pages 47-54

  Christov, Ivan ^a   Christov, C I ^b   Jordan, P M ^c  

^a TEXAS A AND M UNIVERSITY   (United States)

^b UNIVERSITY OF LOUISIANA AT LAFAYETTE   (United States)

^c NAVAL RESEARCH LABORATORY   (United States)

Author keywords

Compressible flows; Nonlinear acoustics; Shock waves

Indexed keywords

COMPRESSIBLE FLOW; COMPUTER SIMULATION; FINITE DIFFERENCE METHOD; SHOCK WAVES;

CUMULATIVE NONLINEAR EFFECTS; INVISCID KUZNETSOV EQUATION (IKE); LIGHTHILL-WESTERVELT EQUATION (LWE); NONLINEAR ACOUSTICS;

ACOUSTIC WAVE PROPAGATION;

EID: 33847748234     PISSN: 15261492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (24)

1. Balbás, J.; Tadmor, E. (2006): Nonoscillatory central schemes for one- and two-dimensional magnetohydrodynamic equations. II: Higher-order semidiscrete schemes. SIAM J Sci Comput, vol. 28, pp. 533-560.
2. Bargmann, S.; Steinmann, P. (2005): Finite element approach to non-classical heat conduction. CMES: Computer Modeling in Engineering & Sciences, vol. 9, pp. 133-150.
3. Bland, D. R. (1988): Wave theory and applications. Oxford University Press, Oxford, U.K.
4. Chen, P. J. (1973): Growth and decay of waves in solids. In: S. Flügge and C. Truesdell (eds) Handbuch der physik, Springer, Berlin, vol. VIa/3, pp. 303-402.
5. Christov, I.; Jordan, P. M.; Christov, C. I. (2006): Nonlinear acoustic propagation in homentropic perfect gases: A numerical study. Phys Lett A, vol. 353, pp. 273-280.
6. Coleman, B. D.; Gurtin, M. E. (1967): Growth and decay of discontinuities in fluids with internal state variables. Phys Fluids, vol. 10, pp. 1454-1458.
7. Elcrat, A. R. (1977): On the propagation of sonic discontinuities in the unsteady flow of a perfect gas. Int J Eng Sci, vol. 15, pp. 29-34.
8. Fu, Y. B.; Scott, N. H. (1991): The transition from acceleration wave to shock wave. Int J Eng Sci, vol. 29, pp. 617-624.
9. Greenspan, H. P.; Nadim, A. (1993): On sonoluminescence of an oscillating gas bubble. Phys Fluids A, vol. 5, pp. 1065-1067.
10. 1-minimization. Int J Num Anal Modeling, vol. 4, pp. 39-47.
11. Jordan, P. M.; Christov, C. I. (2005): A simple finite difference scheme for modeling the finite-time blow-up of acoustic acceleration waves. J Sound Vib, vol. 281, pp. 1207-1216.
12. Kagawa, Y.; Tsuchiya, T.; Yamabuchi, T.; Kawabe, H.; Fuji, T. (1992): Finite element simulation of non-linear sound propagation. J Sound Vib, vol. 154, pp. 125-145.
13. Kuznetsov, V. P. (1971): Equations of nonlinear acoustics. Sov Phys Acoust, vol. 16, pp. 467-470.
14. Lindsay, K. A.; Straughan, B. (1978): Acceleration waves and second sound in a perfect fluid. Arch Rat Mech Anal, vol. 68, pp. 53-87.
15. Makarov, S.; Ochmann, M. (1996): Nonlinear and thermoviscous phenomena in acoustics, Part I. Acustica, vol. 82, pp. 579-606.
16. Makarov, S.; Ochmann, M. (1997a): Nonlinear and thermoviscous phenomena in acoustics, Part II. Acustica, vol. 83, pp. 197-222.
17. Makarov, S.; Ochmann, M. (1997b): Nonlinear and thermoviscous phenomena in acoustics, Part III. Acustica, vol. 83, pp. 827-846.
18. McCarthy, M. F. (1975): Singular surfaces and waves. In: A. C. Eringen (ed) Continuum physics, Academic Press, London, vol. II, pp. 449-521.
19. Müller, I.; Ruggeri, T. (1993): Extended thermodynamics. In: C. Truesdell (ed) Springer tracts in natural philosophy, Springer, New York, vol. 37, pp. 148-152.
20. Naugolnykh, K.; Ostrovsky, L. (1998): Nonlinear wave processes in acoustics, Cambridge University Press, New York, Sect. 1.
21. Quintanilla, R.; Straughan, B. (2004): A note on discontinuity waves in type III thermoelasticity. Proc R Soc A, vol. 460, pp. 1169-1175.
22. Saccomandi, G. (1994): Acceleration waves in a thermo-microstretch fluid. Int J Non-Linear Mech, vol. 29, pp. 809-817.
23. Thomas, T. Y. (1957): The growth and decay of sonic discontinuities in ideal gases. J Math Mech, vol. 6, pp. 455-469.
24. Thompson, P. A. (1972): Compressible-fluid dynamics. McGraw-Hill, New York.