Nonlinear acoustic propagation in homentropic perfect gases: A numerical study

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 353, Issue 4, 2006, Pages 273-280

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

^a NAVAL RESEARCH LABORATORY   (United States)

^b UNIVERSITY OF LOUISIANA AT LAFAYETTE   (United States)

Author keywords

Acceleration waves; Euler equations; Godunov type MUSCL scheme; Lighthill Westervelt equation; Shock formation

Indexed keywords

EULER EQUATIONS; FINITE DIFFERENCE METHOD; INITIAL VALUE PROBLEMS; WAVES;

ANALYTICAL RESULTS; FINITE DIFFERENCE SCHEME; GODUNOV-TYPE MUSCL SCHEME; INITIAL-BOUNDARY VALUE PROBLEMS; LIGHTHILL-WESTERVELT EQUATIONS; NON-LINEAR ACOUSTICS; NONLINEAR ACOUSTIC PROPAGATION; SHOCK FORMATION;

ACOUSTIC WAVES;

EID: 33645918594     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2005.12.101     Document Type: Article

References (20)

1. Chen P.J. In: Flügge S., and Truesdell C. (Eds). Handbuch der Physik vol. VIa/3 (1973), Springer, Berlin 303-402
2. Coleman B.D., and Gurtin M.E. Phys. Fluids 10 (1967) 1454
3. Straughan B. Ann. Mat. Pura Appl. 126 (1980) 187
4. Saccomandi G. Int. J. Non-Linear Mech. 29 (1994) 809
5. Lin H., and Szeri A.J. J. Fluid Mech. 431 (2001) 161
6. Quintanilla R., and Straughan B. Proc. R. Soc. London A 460 (2004) 1169
7. Jordan P.M., and Christov C.I. J. Sound Vib. 281 (2005) 1207
8. Jordan P.M., and Puri A. Phys. Lett. A 341 (2005) 427
9. Jordan P.M. Proc. R. Soc. London A 461 (2005) 2749
10. Toro E.R. Riemann Solvers and Numerical Methods for Fluid Dynamics (1999), Springer, Berlin
11. Godunov S.K. Mat. Sb. 47 (1959) 271 (in Russian)
12. van Leer B. J. Comput. Phys. 32 (1979) 101
13. LeVeque R.J. Finite Volume Methods for Hyperbolic Problems (2002), Cambridge Univ. Press, New York pp. 203-253
14. Thompson P.A. Compressible-Fluid Dynamics (1972), McGraw-Hill, New York
15. Naugolnykh K., and Ostrovsky L. Nonlinear Wave Processes in Acoustics (1998), Cambridge Univ. Press, New York Chapter 1
16. Chester W. Proc. R. Soc. London A 434 (1991) 459
17. Bisplinghoff R.L., Ashley H., and Halfman R.L. Aeroelasticity (1955), Addison-Wesley, Cambridge, MA
18. Hamilton M.F., and Morfey C.L. In: Hamilton M.F., and Blackstock D.T. (Eds). Nonlinear Acoustics (1997), Academic Press, New York 41-63
19. Ockendon H., and Ockendon J.R. Meccanica 36 (2001) 297
20. Harten A., Lax P.D., and van Leer B. SIAM Rev. 25 (1983) 35