Rankine-Hugoniot-Riemann Solver Considering Source Terms and Multidimensional Effects

Journal of Computational Physics

Volumn 145, Issue 2, 1998, Pages 575-610

  Jenny, P ^a   Muller B ^b  

^a Cornell University   (United States)

^b LULEÅ UNIVERSITY OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTICS; MAGNETOHYDRODYNAMICS;

ACOUSTIC OSCILLATION; HUGONIOT; MULTIDIMENSIONAL EFFECTS; NEW APPROACHES; PREMIXED LAMINAR FLAMES; RANKINE; RANKINE-HUGONIOT CONDITION; RIEMANN SOLVER; SOURCE TERMS; UNSTEADY FLOW SIMULATION;

EQUATIONS OF MOTION;

EID: 0001222654     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1998.6037     Document Type: Article

References (32)

1. Becker E. Gasdynamik. 1966.
2. Bermudez A., Vazquez M. E. Upwind methods for hyperbolic conservation laws with source terms. Comput. & Fluids. 23:1994;1049.
3. Chorin J. Random choice methods with applications to reacting gas flow. J. Comput. Phys. 25:1977;253.
4. Clavin P. Premixed combustion and gasdynamics. Ann. Rev. Fluid Mech. 26:1994;321.
5. Colella P. Multidimensional upwind methods for hyperbolic conservation laws. J. Comput. Phys. 87:1990;171.
6. D. Durox, F. Baillot, G. Searby, L. Boyer, On the shape of flames under strong acoustic acceleration: A mean flow controlled by the unsteady flow, 1997.
7. Dwyer H. A. Calculation of low Mach number reacting flow. AIAA J. 28:1990;98.
8. Fernandez G., Tang K. Z., Dwyer H. A. A comparative study of the low Mach number and Navier-Stokes equations with time-dependent chemical reactions. Twelfth Int. Conference on Numerical Methods in Fluid Dynamics. 1990;490.
9. Hahnemann H., Ehret L. Ueber den Einfluss starker Schallwellen auf eine stationär brennende Gasflamme. Z. Tech. Phys. 24:1943;228.
10. Jenny P. On the Numerical Solution of the Compressible Navier-Stokes Equations for Reacting and Non-reacting Gas Mixtures. 1997.
11. Jenny P., Müller B., Thomann H. Riemann solver for compressible combustion codes. Proceedings of First International Symposium on Finite Volumes for Complex Applications. 1996;705.
12. Jenny P., Müller B., Thomann H. Correction of conservative Euler solvers for gas mixtures. J. Comput. Phys. 132:1997;91.
13. Keller J. J. Thermoacoustic oscillations in combustion chambers of gas turbines. AIAA J. 33:1995;2280.
14. Klingenstein P. Nonlinear Hyperbolic Conservation Laws with Source Terms: Errors of the Shock Location. 1997.
15. Kuo K. K. Principles of Combustion. 1986.
16. Landau L. D., Lifschitz E. M. Hydrodynamik. 1986.
17. LeVeque R. J., Yee H. C. A study of numerical methods for hyperbolic conservation laws with stiff source terms. J. Comput. Phys. 86:1990;187.
18. R. J. LeVeque, Balancing source terms and flux gradients in high resolution Godunov methods, J. Comput. Phys.
19. R. J. LeVeque, D. Bale, Wave propagation methods for conservation laws with source terms, Proceedings of Seventh International Conference on Hyperbolic Problems, Zürich, Switzerland, 1998.
20. Lindström D. Accurate Numerical Solution of Hyperbolic PDEs with Source Terms. 1996.
21. Oran E. S., Boris J. P. Numerical Simulation of Reactive Flow. 1987.
22. Quirk J. J. A contribution to the great Riemann solver debate. Int. J. Numer. Methods Fluids. 18:1994;555.
23. Rehm R. G., Baum H. R. The equations of motion for thermally driven buoyant flows. J. Res. Natl. Bureau Standards. 83:1978;297.
24. P. L. Roe, Upwind differencing schemes for hyperbolic conservation laws with source terms, Proceedings of Nonlinear Hyperbolic Problems, C. CarassoP. A. RaviartD. Serre, Springer-Verlag, New York/Berlin, 1986, 1270, 41.
25. Scherer H. Numerische Simulation der Ausbreitung einer laminaren Vormisch-Flamme. 1992;Institut für Fluiddynamik, ETH Zürich.
26. G. Searby, Acoustic instability of laminar premixed flames, 1996.
27. Sesterhenn J., Müller B., Thomann H. A simple characteristic flux evaluation for subsonic flow. 2nd ECCOMAS CFD Conf. 1994;57.
28. Sesterhenn J. Zur numerischen Berechnung kompressibler Strömungen bei kleinen Mach-Zahlen. 1995.
29. P. K. Sweby, TVD schemes for inhomogeneous conservation laws, Nonlinear Hyperbolic Equations-Theory, Computational Methods and Applications, J. BallmannR. Jeltsch, Vieweg, Braunschweig, 1988, 24, 128.
30. Toro E. F. Defects of Conservative Methods and Adaptive Primitive Conservative Schemes for Computing Solutions to Hyperbolic Conservation Laws. 1994.
31. van Leer B. Towards the ultimate conservative difference scheme. V. A second order sequel to Godunov's method. J. Comput. Phys. 32:1979;101.
32. M. E. Vazquez, An efficient upwind scheme with finite volumes of the edge-type for the bidimensional shallow water equations, Proceedings of First International Symposium on Finite Volumes for Complex Applications, F. BenkhaldounR. Vilsmeier, Rouen, France, 1996, 605.