High accuracy finite difference algorithms for. Computational aeroacoustics

3rd AIAA/CEAS Aeroacoustics Conference

Volumn , Issue , 1997, Pages

  Goodrich, John W ^a  

^a NASA GLENN RESEARCH CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AEROACOUSTICS; ALGORITHMS; EFFICIENCY;

FINITE-DIFFERENCE ALGORITHMS; HERMITIAN INTERPOLATIONS; HIGH-ACCURACY; HIGHLY ACCURATE; ORDERS OF MAGNITUDE; SPACE DIMENSIONS;

COMPUTATIONAL AEROACOUSTICS;

EID: 78149436234     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.1997-1584     Document Type: Conference Paper

References (20)

1. H. L. Atkins, "Quadrature Free Implementations of the Discontinuous Galerkin Method for Hyperbolic Equations, " AIAA 96-1683, The 2nd AIAA/CEAS Aeroacoustics Conference, State College, PA, May, 1996.
2. S. C. Chang, "The Method of Space-Time Conservation Element and Solution Element—A New Approach for Solving the Navier-Stokes and Euler Equations, " J. Comput. Pbys., 119, 295 (1995).
3. L. Collatz, The Numerical Treatment of Differential Equations, (Springer, Berlin-New York, 1960).
4. P. Garabedian, Partial Differential Equations, (Wiley, New York, 1964).
5. 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, 1995.
6. J. W. Goodrich, "Accurate Finite Difference Algorithms, " NASA TM 107377, 1996.
7. J. W. Goodrich and T. Hagstrom, "Accurate Algorithms and Radiation Boundary Conditions for Linearized Euler Equations, " AIAA 96-1660, The 2nd AIAA/CEAS Aeroacoustics Conference, State College, PA, May, 1996.
8. J. W. Goodrich and T. Hagstrom, "A Comparison of Two Accurate Boundary Treatments for Computational Aeroacoustics, " AIAA 97-1585, The 3rd AIAA/CEAS Aeroacoustics Conference, Atlanta, GA, May, 1997.
9. J. W. Goodrich and J. Hardin, "Accurate Finite Difference Algorithms for Computational Aeroacoustics, " to appear in Computational Fluid Dynamics Review 1996, edited by M. M. Hafez and K. Oshima.
10. A. Harten, B. Engquist, S. Osher and S. R. Chakravarthy, "Uniformly High Order Accurate Essentially Non-oscillatory Schemes, III, " J. Comput. Pbys., 71, 231 (1987).
11. R. Hixon, "On Increasing the Accuracy of Mac-Cormack Schemes for Aeroacoustic Applications, " NASA CR 202311, ICOMP 96-11, 1996.
12. F. Q. Hu, "On Absorbing Boundary Conditions for Linearized Euler Equations in a Perfectly Matched Layer, " J. Comput. Phys., 129, p201, 1996.
13. F. Q. Hu, M. Y. Hussaini, and J. L. Manthey, "Low Dissipation and Low Dispersion Runge-Kutta Schemes for Computational Acoustics, " J. Comput. Phys., 124, p177, 1996.
14. H. O. Kreiss and J. Lorenz, Initial Boundary Value Problems and the Navier Stokes Equations, (Academic Press, New York, 1989).
15. H. O. Kreiss and J. Oliger, "Comparison of Accurate Methods for the Integration of Hyperbolic Equations, " Tellus, 24, p199, 1972.
16. P. D. Lax and B. Wendroff, "Systems of Conservation Laws, " Comm. Pure Appl. Math, 13, p 217, 1960.
17. S. K. Lele, "Computational Aeroacoustics: A Review, " AIAA 97-0018, The 35th Aerospace Sciences Meeting, Reno, NV, January, 1997.
18. H. Takewaki, A. Nishiguchi, and T. Yabe, J. Comput. Phys., 61, p 261, 1985.
19. C. K. W. Tarn and J. C. Webb, "Dispersion Relation Preserving Finite Difference Schemes for Computational Acoustics, " J. Comput. Phys., 107, P262, 1993.
20. C. K. W. Tarn and J. C. Webb, "Radiation Boundary Conditions and Anisotropy Correction for Finite Difference Solutions of the Helmholtz Equation, " J. Comput. Phys., 113, p 122, 1994.