Artificial diffusion, upwind biasing, limiters and their effect on accuracy and multigrid convergence in transonic and hypersonic flows

11th Computational Fluid Dynamics Conference, 1993

Volumn , Issue , 1993, Pages 1-28

  Jameson, Antony ^a  

^a PRINCETON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATION THEORY; COMPUTATIONAL FLUID DYNAMICS; HYPERSONIC FLOW; MACH NUMBER; ONE DIMENSIONAL; TRANSONIC AERODYNAMICS; TWO PHASE FLOW;

ARTIFICIAL DIFFUSION; LOCAL EXTREMUM DIMINISHING; MULTIDIMENSIONAL PROBLEMS; MULTIGRID CONVERGENCES; ONE DIMENSIONAL PROBLEMS; PRESSURE DIFFERENCES; SYSTEMS OF EQUATIONS; TOTAL VARIATION DIMINISHING;

DIFFUSION IN LIQUIDS;

EID: 84998644067     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.1993-3359     Document Type: Conference Paper

References (24)

1. P. Arminjon and A. Dervieux. Construction of TVD-like artificial viscosities on 2-dimensional arbitrary FEM grids. INRIA Report 1111, October 1989.
2. J.P. Boris and D.L. Book. Flux corrected transport, 1 SHASTA, a fluid transport algorithm that works. Journal of Computational Physics, 11:38-69, 1973.
3. R.J. Busch Jr. Computational fluid dynamics in the design of the Northrop/McDonnell Douglas YF-23 ATF prototype. AIAA paper 91-1627, AIAA 21st Fluid Dynamics, Plasmady-namics & Lasers Conference, Honolulu, Hawaii, 1991.
4. J.D. Denton. An improved time marching method for turbomachinery flow calculations. Journal of Engineering for Gas Turbines and Power, 105, 1983.
5. A. Harten. High resolution schemes for hyperbolic conservation laws. Journal of Computational Physics, 49:357-393, 1983.
6. A. Jameson. Solution of the Euler equations for two dimensional transonic flow by a multigrid method. Applied Mathematics and Computations, 13:327-356,1983.
7. A. Jameson. A non-oscillatory shock captur-ing scheme using flux limited dissipation. MAE Report 1653, Princeton University, Princeton, New Jersey, April 1984. Published in Lectures in Applied Mathematics, B.E. Engquist, S. Os-her, and R.C.J. Sommerville, editor, A.M.S., Part 1, 22:345-370, 1985.
8. A. Jameson. Multigrid algorithms for compressible flow calculations. In W. Hackbusch and U. Trottenberg, editors, Lecture Notes in Mathematics, Vol. 1228, pages 166-201. Proceedings of the 2nd European Conference on Multigrid Methods, Cologne, 1985, Springer-Verlag, 1986.
9. A. Jameson. Successes and challenges in computational aerodynamics. AIAA paper 87-1184 CP, AIAA 8th Computational Fluid Dynamics Conference, Honolulu, Hawaii, 1987.
10. A. Jameson. Airfoils admitting non-unique solutions of the Euler equations. AIAA paper 91-162S, AIAA 22nd Fluid Dynamics, Plasmadyw namics & Lasers Conference, Honolulu, Hawaii, June 1991.
11. A. Jameson, T.J. Baker, and N.P. Weather-ill. Calculation of inviscid transonic flow over a complete aircraft. AIAA paper 86-0103, AIAA 24th Aerospace Sciences Meeting, Reno, Nevada, January 1986.
12. A. Jameson, W. Schmidt, and E. Turkel. Numerical solutions of the Euler equations by finite volume methods with Runge-Kutta time stepping schemes. AIAA paper 81-1259, January 1981.
13. B. Laney and D.A. Caughey. Extremum control II: Semi-discrete approximations to conservation laws. AIAA paper 91-0632, AIAA 29th Aerospace Sciences Meeting, Reno, Nevada, January 1991.
14. B. Van Leer. Flux vector splitting for the Euler equations. In E. Krause, editor, Proceedings of the 8th International Conference on Numerical Methods in Fluid Dynamics, pages 507-512, Aachen, 1982.
15. M-S. Liou and C.J. StefTen. A new flux splitting scheme. NASA-TM 104452, 1991. Accepted for publication in the Journal of Computational Physics.
16. S. Osher and F. Solomon. Upwind difference schemes for hyperbolic systems of conservation laws. Mathematics and Computing, 38:339-374, 1982.
17. P.L. Roe. Approximate Riemann solvers, parameter vectors, and difference schemes. Journal of Computational Physics, 43:357-372, 1981.
18. C. Shu and S. Osher. Efficient implementation of essentially non-oscillatory shock-capturing schemes. Journal of Computational Physics, 77:439-471,1988.
19. G.A. Sod. A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws. Journal of Computational Physics, 27:1-31, 1978.
20. J.L. Steger and R.F. Warming. Flux vector splitting of the inviscid gas dynamic equations with applications to finite difference methods. Journal of Computational Physics, 40:263-293, 1981.
21. R.C. Swanson and E. Turkel. On central-difference and upwind schemes. Journal of Computational Physics, 101:297-306, 1992.
22. P.K. Sweby. High resolution schemes using flux limiters for hyperbolic conservation laws. Journal of Numerical Analysis, 21:995-1011, 1984.
23. S. Tatsumi, L. Martinelli, and A. Jameson. Design, implementation, and validation of flux limited schemes for the solution of the compressible Navier-Stokes equations. Abstract, Submitted to AIAA 32nd Aerospace Sciences Meeting, Reno, Nevada, January 1994.
24. S.T. Zalesak. Fully multidimensional flux-corrected transport algorithms for fluids. Journal of Computational Physics, 31:335-362, 1979.