Finite difference time marching in tlie frequency domain: A parabolic formulation for the convective wave equation

Journal of Vibration and Acoustics, Transactions of the ASME

Volumn 118, Issue 4, 1996, Pages 622-629

  Baumeister, K J ^a   Kreider, K L ^b  

^a NASA GLENN RESEARCH CENTER   (United States)

^b University of Akron   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; DUCTS; FINITE DIFFERENCE METHOD; FOURIER TRANSFORMS; FREQUENCY DOMAIN ANALYSIS; ITERATIVE METHODS; PARTIAL DIFFERENTIAL EQUATIONS; THREE DIMENSIONAL;

CONVECTIVE WAVE EQUATION; FINITE DIFFERENCE ITERATION MARCHING; FINITE DIFFERENCE ITERATION SCHEME; HARMONIC SOUND PROPAGATION; PLUG FLOW;

ACOUSTIC WAVES;

EID: 0030257648     PISSN: 10489002     EISSN: 15288927     Source Type: Journal    
DOI: 10.1115/1.2888344     Document Type: Article

References (17)

1. Baumeister, K. J., and Bittner, E. C., 1973, “Numerical Simulation of Noise Propagation in Jet Engine Ducts,” NASA TN-7339.
2. Baumeister, K. J., 1974, “Analysis of Sound Propagation in Ducts Using the Wave Envelop Concept,” NASA TN D-7719.
3. Baumeister, K. J., 1980a, “Time-Dependent Difference Theory fog Noise Propagation in a Two-Dimensional Duct,” AIAA Journal, Vol. 18, No. 12, p. 1470.
4. Baumeister, K. J., 1980b, “Time-Dependent Difference Theory for Sound Propagation in Axisymmetfic Ducts with Plug Flow,” paper AIAA-80-1017, Hartford, CT.
5. Baumeister, K. J., 1982, “Influence of Exit Impedance on Finite-Difference Solutions of Transient Acoustic Mode Propagation in Ducts,” ASME Journal of Engineering for Industry, Vol. 104, pp. 113-120.
6. Baumeister, K. J., and Horowitz, S. J., 1984, “Finite Element-Integral Acoustic Simulation of JT15D Turbofan Engine,” ASME JOURNAL OF VmRATION, ACOUSTICS, STRESS, AND RELIABILITY IN DESIGN, Vol. 106, p. 405.
7. Baumeister, K. J., 1986, “Time Dependent Wave Envelop Finite Difference Analysis of Sound Propagation,” AIAA Journal, Vol. 24, No. 1, pp. 32-38.
8. Bayliss, A., Goldstein, C. I., and Turkel, E., 1983, “An Iterative Method for the Helmholtz Equation,” Journal of Computational Physics, Vol. 49, pp. 443-457, 1983.
9. Cabelli, A., 1982, “Duct Acoustics--A Time Dependent Difference Approach for Steady State Solutions,” J. Sound & Vibrations, Vol. 85, pp. 423-434.
10. Candel, S. M., 1986, “A Review of Numerical Methods in Acoustic Wave Propagation,” Recent Advances in Aeroacoustics, Krothapalli, A., and Smith, C. A., eds., Springer-Verlag, New-York.
11. Eversman W., and Baumeister, K. J., 1989, “Modeling Wind Tunnel Effects on the Radiation Characteristics of Acoustic Sources,” AIAA J. of Propulsion and Power, Vol. 5, No. 1, pp. 56-63.
12. Farassat, F., Dunn, M., Hsu, C., and Spence, P., 1994, “Unsteady Aerodynamics For Aeroelasticity and Aeroacousticsof Rotating Blades,” NASA Workshop, July 19-20, 1994.
13. Miller, E. K., 1988, “A Selective Survey of Computational Electromagnetics,” IEEE Trans. on Antennas and Propagation, Vol. 36, No. 9, p. 1281.
14. Morse, P. M., and Feshback, H., 1953, Method of Theoretical Physics, McGraw-Hill, New-York.
15. Pearson J. D., 1953, “The Transient Motion of Sound Waves in Tubes,” Journal of Mechanics and Applied Mathematics, Vol. 6, Pt. 3, pp. 313-335.
16. Turkel, E., and Arnone, A., 1993, “Pseudo-Compressibility Methods for the Incompressible Flow Equations,” Proceedings 11th AIAA Computational Fluid Dynamics Conference, pp. 349-357, AIAA paper. 93-3329.
17. Turkel, E., Fiterman, A., and van Leer, B., 1994, “Preconditioning and the Limit of the Compressible to the Incompressible Flow Equations for Finite Difference Schemes,” Computing the Future: Advances and Prospects for Computational Aerodynamics, M. Hafez and D. A. Caughey, eds., John Wiley and Sons, New York.