Experiments with approximate radiation boundary conditions for computational aeroacoustics

Applied Numerical Mathematics

Volumn 27, Issue 4, 1998, Pages 385-402

  Hagstrom, Thomas ^a   Goodrich, John ^b  

^a UNIVERSITY OF NEW MEXICO   (United States)

^b NASA GLENN RESEARCH CENTER   (United States)

Author keywords

Aeroacoustics; Nonreflecting boundary conditions

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; COMPUTATIONAL METHODS; PROBLEM SOLVING;

AEROACOUSTICS; NONREFLECTING BOUNDARY CONDITIONS;

ACOUSTIC WAVE PROPAGATION;

EID: 0032136456     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(98)00021-X     Document Type: Article

References (13)

1. B. Alpert, L. Greengard and T. Hagstrom, Accurate solution of the wave equation on unbounded domains, in preparation.
2. J. Chazairan and A. Piriou, Introduction to the Theory of Linear Partial Differential Equations (North-Holland, Amsterdam, 1982).
3. B. Engquist and A. Majda, Absorbing boundary conditions for the numerical simulation of waves, Math. Comp. 31 (1977) 629-651.
4. B. Engquist and A. Majda, Radiation boundary conditions for acoustic and elastic wave calculations, Comm. Pure Appl. Math. 32 (1979) 313-357.
5. M. Giles, Nonreflecting boundary conditions for Euler equation calculations, AIAA J. 28 (1990) 2050-2058.
6. J. Goodrich and T. Hagstrom, Accurate algorithms and radiation boundary conditions for linearized Euler equations, in: Proc. 2nd AIAA/CEAS Aeroacoustics Conference (1996).
7. J. Goodrich and T. Hagstrom, High-order radiation boundary conditions for computational aeroacoustics, in preparation.
8. T. Hagstrom, On high-order radiation boundary conditions, in: B. Engquist and G. Kriegsmann, eds., IMA Volume on Computational Wave Propagation (Springer, Berlin, 1996) 1-22.
9. E. Hairer, C. Lubich and M. Schlichte, Fast numerical solution of nonlinear Volterra convolutional equations, SIAM J. Sci. Statist. Comp. 6 (1985) 532-541.
10. R. Hixon, S.-H. Shih and R. Mankbadi, Evaluation of boundary conditions for computational aeroacoustics, in: Proc. 33rd AIAA Aerospace Sciences Meeting (1995).
11. D. Kröner, Absorbing boundary conditions for the linearized Euler equations in 2-D, Math. Comp. 57 (1990) 153-167.
12. E. Lindman, Free space boundary conditions for the time dependent wave equation, J. Comput. Phys. 18 (1975) 66-78.
13. L. Xu and T. Hagstrom, On convergent sequences of approximate radiation boundary conditions, in preparation.