Accurate algorithms and radiation boundary conditions for linearized euler equations

2nd AIAA/CEAS Aeroacoustics Conference

Volumn , Issue , 1996, Pages

  Goodrich, John W ^a   Hagstrom, Thomas ^a,b  

^a NASA GLENN RESEARCH CENTER   (United States)

^b UNIVERSITY OF NEW MEXICO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AEROACOUSTICS; APPROXIMATION ALGORITHMS; BOUNDARY CONDITIONS; EULER EQUATIONS; LINEARIZATION; WAVE PROPAGATION; WAVEFRONTS;

COMPUTATIONAL ERROR; CONVECTION VELOCITY; CONVERGENT SEQUENCES; FOURTH-ORDER ALGORITHMS; LINEARIZED EULER EQUATION; OUTFLOW BOUNDARY CONDITIONS; RADIATION BOUNDARY CONDITION; STABILITY CONSTRAINTS;

ALGORITHMS;

EID: 19944415188     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.1996-1660     Document Type: Conference Paper

References (19)

1. J. Chazairan and A. Piriou, Introduction to the Theory of Linear Partial Differential Equations, (North-Holland, 1982).
2. F. Collino, “Conditions d’ordre élevé pour des modeles de propagation d'ondes dans des domaines rectangulaires,” INRIA report 1790, (1993).
3. B. Engquist and A. Majda, “Absorbing boundary conditions for the numerical simulation of waves,” Math. Comp., 31, (1977) 629.
4. B. Engquist and A. Majda, “Radiation boundary conditions for acoustic and elastic wave calculations,” Comm. Pure and Appl. Math., 32, (1979) 313.
5. P. Garabedian, Partia/ Differential Equations, (Wiley, New York, 1964).
6. M. Giles, “Nonreflecting boundary con- ditions for Euler equation calculations,” ALA.A J., 28, (1990) 2050.
7. J. W. Goodrich, “Application Of A New Finite Difference Algorithm For Computational Aeroacoustics,” Proc. of the ICASE/LaRC Workshop On Benchmark Problems In Computational Aeroacoustics, (Hampton, VA, Oct, 1994).
8. J. W. Goodrich, “An Approach To The Development Of Numerical Algorithms For First Order Linear Hyperbolic Systems In Multiple Space Dimensions: The Constant Coefficient Case,” NASA TM 106928 (Sept, 1995).
9. J. Goodrich and T. Hagstrom, “High-order methods for the linearized Euler equations: Radiation boundary conditions and discretization schemes,” in preparation.
10. B. Gustafsson and H.-O. Kreiss, “Boundary conditions for time-dependent problems with an artificial boundary,” “ Comp. Phys., 30, (1979) 333.
11. T. Hagstrom, “On the convergence of local approximations to pseudo differential operators with applications, Proceedings of the Third International Conference on Mathematical and Numerical Aspects of Wave Propagation Phenomena, E. Bécache, G. Cohen, P. Joly and J. Roberts, eds., SIAM (1995) 474.
12. T. Hagstrom, “On high-order radiation boundary conditions,” IMA Volume on Computational Wave Propagation, (1996), to appear.
13. T. Hagstrom and S.I. Hariharan, “On progressive wave expansions and asymptotic boundary conditions for hyperbolic systems,” IMA Volume on Computational Wave Propagation, (1996), to appear.
14. A. Harten, B Engquist, S. Osher and S. R. Chakravarthy, “Uniformly High Order Accurate Essentially Non-oscillatory Schemes, III,” J. Cornput. Phys., 71, (1987) 231.
15. H. O. Kreiss and J. Oliger, “Comparison of accurate methods for the integration of hyperbolic equations,” Tellus, 24, (1972) 199.
16. P. D. Lax and B. Wendroff, “Systems of Conservation Laws,” Comm. Pure Appl. Math, 13, (1960) 217.
17. S. K. Lele, “Compact Finite Difference Schemes with Spectral like Resolution”, J. Comput. Phys. 103, (1992) 16
18. C. K. W. Tarn and J. C. Webb, “Dispersion Relation Preserving Finite Difference Schemes For Computational Acoustics,” J. Comput. Phys. 107, (1993) 262.
19. L. Xu, Doctoral Dissertation, U. of New Mexico, (1997).