The space-time conservation element method- A new numerical scheme for computational aeroacoustics

34th Aerospace Sciences Meeting and Exhibit

Volumn , Issue , 1996, Pages

  Loh, C Y ^a   Chang, S C ^a   Scott, J R ^a   Yu, S T ^a  

^a NASA GLENN RESEARCH CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AEROSPACE ENGINEERING; NASA; NUMERICAL METHODS;

NON REFLECTING BOUNDARY CONDITION; NUMERICAL SCHEME; SOLUTION ELEMENT; SPACE-TIME CONSERVATION ELEMENT;

COMPUTATIONAL AEROACOUSTICS;

EID: 85086949513     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.1996-276     Document Type: Conference Paper

References (22)

1. Chang, S.C., "The Method of Space-Time Conservation Element and Solution Element-A New Approach for Solving the Navier-Stokes and Euler Equations," Journal of Computational Physics, Vol. 119, 295-324 (1995).
2. Chang, S.C., Wang, X.Y. and Chow, C.Y., "New Developments in the Method of Space-Time Conservation Element and Solution Element-Applications to Two-Dimensional Time-Marching Problems," NASA TM 106758, December, 1994.
3. Wang, X.Y., Chow, C.Y. and Chang, S.C., "Application of the Space-Time Conservation Element and Solution Element Method to Shock-Tube problem," NASA TM 106806, December, 1994. Also submitted for publication in the Journal of Computational Physics.
4. Chang, S.C., Wang, X.Y., Chow, C.Y. and Himansu, A., "The Method of Space-Time Conservation Element and Solution Element-Develop-ment of a New Implicit Solver," in the Proceedings of the Ninth International Conference on Numerical Methods in Laminar and Turbulent Flow, July 10-14, 1995, Atlanta, Georgia. Also published as NASA TM 106897.
5. Chang, S.C. and To, W.M., "A New Numerical Framework for Solving Conservation Laws-The Method of Space-Time Conservation Element and Solution Element," NASA TM 104495, August, 1991.
6. Chang, S.C., "On An Origin of Numerical Diffusion: Violation of Invariance under Space-Time Inversion," Proceedings of 23rd Conference on Modeling and Simulation, April 30-May 1, 1992, Pittsburgh, PA, USA, William G. Vogt and Marlin H. Mickle eds., Part 5, pp. 2727-2738. Also published as NASA TM 105776.
7. Chang, S.C. and To, W.M., "A Brief Description of a New Numerical Framework for Solving Conservation Laws-The Method of Space-Time Conservation Element and Solution Element," Proceedings of tie Thirteenth International Conference on Numerìcal Methods in Fluid Dynamics, Rome, Italy, 1992, M. Napolitano and F. Sabetta, eds., Lecture Notes in Physics 414, Springer-Verlag, pp. 396-400. Also published as NASA TM 105757.
8. Scott, J.R. and Chang, S.C., "A New Flux Conserving Newton's Method Scheme for the TwoDimensional, Steady Navier-Stokes Equations," to appear in the International Journal of Computational Fluid Dynamics.
9. Chang, S.C., "New Developments in the Method of Space-Time Conservation Element and Solution Element-Applications to the Euler and Navier-Stokes Equations," NASA TM 106226, August, 1993.
10. Scott, J.R., "A New Flux-Conserving Numerical Scheme for the Steady, Incompressible Navier-Stokes Equations," submitted for publication in the International Journal of Computational Fluid Dynamics.
11. Wang, X.Y., Chow, C.Y. and Chang, S.C., "Application of the Space-Time Conservation Element and Solution Element Method to TwoDimensional Advection-Diffusion Problems," to be published as a NASA Technical Memorandum.
12. Scott, J.R. and Chang, S.C., "The Space-Time Solution Element Method-A New Numerical Approach for the Navier-Stokes Equations," AIAA paper 95-0763-CP, presented at the 33rd AIAA Aerospace Science Meeting, Reno, Nevada, January 9-12, 1995.
13. Loh, C.Y., Chang, S.C., Scott, J.R., and Yu, S.T., "Application of the Method of Space-Time Conservation Element and Solution Element to Aeroacoustics Problems," presented at 6th International Symposium of CFD, Lake Tahoe, California, September 1995.
14. " Benchmark Problems in Computational Aeroacoustics," ICASE/LaRC Workshop, Hampton, Oct. 24-26, 1994.
15. Courant, R. and Hilbert, D., Methods of Mathematical Physics, VoL II (Interscience, 1962).
16. Yu, S.T.K.-C. Hsieh and Tsai, Y.-L. P.; " Simulating Waves in Flows by Runge-Kutta and Compact Difference Schemes ", AIAA Journal, Vol.33, No.3, 1995, pp421-429.
17. S.T.Yu, L.S.Hultgren, N.S.Liu; "Direct Calculations of Waves in Fluid Flows Using High-Order Compact Difference Scheme," AIAA Journal, Vol.32, No.9, 1995, pp 1766-1773.
18. Gamet, L. and Estivalezes, J.L., " Non-reflexive Boundary Conditions Applied to Jet Aeroacoustics," AIAA Paper 95-0159.
19. Engquist, B. and Majda, A., "Absorbing boundary conditions for the numerical simulation of waves," Math. Comp., Vol. 31, pp 629-651 (1977).
20. Thompson, K.W. "Time-dependent boundary conditions for hyperbolic systems," i & ii, J. Comput. Phys., VoL 68, pp 1-24, 1987; also Vol 89, pp 439461, 1990.
21. Thomas, J.P. and Roe P.L., "Development of Non-Dissipative Numerical Schemes for Computational Aeroacoustics," AIAA paper 93-3382-CP, presented at the 11th AIAA Computational Fluid Dynamics Conference, Orlando, Florida, July 69, 1993.
22. Atkins, H.L., "Application of Essentially Nonoscil-latory Methods to Aeroacoustics Problems," ICASE/ LaRC Workshop on Benchmark Problems in Computational Aeroacoustics, Hampton, VA, 1994.