Adaptive low Mach number simulations of nuclear flame microphysics

Journal of Computational Physics

Volumn 195, Issue 2, 2004, Pages 677-694

  Bell, J B ^a   Day, M S ^a   Rendleman, C A ^a   Woosley, S E ^b   Zingale, M A ^b  

^a LAWRENCE BERKELEY NATIONAL LABORATORY   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC WAVE PROPAGATION; AERODYNAMICS; COMBUSTION; COMPUTATIONAL EFFICIENCY; EQUATIONS OF STATE; SUPERNOVAE;

COMPRESSIBILITY EFFECTS; DISCRETIZATIONS; EQUATION-OF-STATE; IDEAL GAS; LOW MACH NUMBERS; MICROPHYSICS; NUCLEAR BURNING; STELLARS; TIME STEP; TIME-SCALES;

MACH NUMBER;

EID: 1842632654     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcp.2003.10.035     Document Type: Article

References (33)

1. W. Hillebrandt, J.C. Niemeyer, Type Ia supernova explosion models, Annu. Rev. Astron. Astrophys. 38 (2000) 191-230.
2. L.D. Landau, On the theory of slow combustion, Acta Phyicochimica, URSS 19 (1944) 77.
3. G. Darrieus, Propagation d'un front de flamme, in: La Technique Moderne, France, 1938.
4. S.I. Blinnikov, P.V. Sasorov, Landau-Darrieus instability and the fractal dimension of flame fronts, Phys. Rev. E 53 (1996) 4827-4841.
5. J.C. Niemeyer, W. Hillebrandt, Microscopic instabilities of nuclear flames in type Ia supernovae, Astrophys. J. 452 (1995) 779-784.
6. A.M. Khokhlov, Propagation of turbulent flames in supernovae, Astrophys. J. 449 (1995) 695.
7. J.C. Niemeyer, W. Hillebrandt, Microscopic and macroscopic modeling of thermonuclear burning fronts, in: P. Ruiz-Lapuente, R. Canal, R. Isern (Eds.), Thermonuclear Supernovae, Kluwer, Dordrecht, 1997.
8. J.C. Niemeyer, W.K Busche, G.R. Ruetsch, Small-scale interaction of turbulence with thermonuclear flames in type Ia supernovae, Astrophys. J. 524 (1999) 290.
9. B. Fryxell, K. Olson, P. Ricker, F.X. Timmes, M. Zingale, D.Q. Lamb, P. MacNeice, R. Rosner, J.W. Truran, H. Tufo, FLASH: an adaptive mesh hydrodynamics code for modeling astrophysical thermonuclear flashes, Astrophys. J. Suppl. 131 (2000) 273-334.
10. A.C. Calder, B. Fryxell, T. Plewa, R. Rosner, L.J. Dursi, V.G. Weirs, T. Dupont, H.F. Robey, J.O. Kane, B.A. Remington, R.P. Drake, G. Dimonte, M. Zingale, F.X. Timmes, K. Olson, P. Ricker, P. MacNeice, H.M. Tufo, On validating an astrophysical simulation code, Astrophys. J. Suppl. 143 (2002) 201-229.
11. R. Rehm, H. Baum, The equations of motion for thermally driven buoyant flows, N.B.S.J. Res. 83 (1978) 297-308.
12. A. Majda, J.A. Sethian, The derivation and numerical solution of the equations for zero Mach number combustion, Combust. Sci. Technol. 42 (1985) 185-205.
13. O. Knio, H.N. Najm, P.S. Wyckoff, A semi-implicit numerical scheme for reacting flow. II. Stiff, operator split formulation, J. Comput. Phys. 154 (1999) 428-467.
14. M.S. Day, J.B. Bell, Numerical simulation of laminar reacting flows with complex chemistry, Combust. Theory Modelling 4 (4) (2000) 535-556.
15. B. Bennett, M.D. Smooke, A comparison of the structures of lean and rich axisymmetric laminar bunsen flames: application of local rectangular refinement solution-adaptive gridding, Combust. Theory Modelling 3 (1999) 657-687.
16. R. Becker, M. Braack, R. Rannacher, Numerical simulation of laminar flames at low mach number by adaptive finite elements, Combust. Theory Modelling 3 (1999) 503-534.
17. J.B. Bell, N.J. Brown, M.S. Day, M. Frenklach, J.F. Grcar, S.R. Tonse, The dependence of chemistry on the inlet equivalence ratio in vortex-flame interactions, Proc. Combust. Inst. 28 (2000) 1933-1939.
18. J.B. Bell, M.S. Day, J.F. Grcar, Numerical simulation of premixed turbulent methane combustion, in: Proceedings of the Combustion Institute, vol. 29, 2002, pp. 1987-1993.
19. F.X. Timmes, S.E. Woosley, The conductive propagation of nuclear flames i. degenerate C + O and O + Ne + Mg white dwarfs, Astrophs. J. 396 (1992) 649-667.
20. R. Kippenhahn, A. Weigert, Stellar Structure and Evolution, Springer Verlag, 1992.
21. P. McMurtry, W.-H. Jou, J. Riley, R. Metcalfe, Direct numerical simulations or a reacting mixing layer with chemical heat release, AIAA J. 24 (1986) 962.
22. F. Nicoud, Conservative high-order finite-difference schemes for low-Mach number flows, J. Comput. Phys. 158 (2000) 71-97.
23. F.H. Harlow, J.E. Welch, Numerical calculation of time-dependent viscous incompressible flow of fluids with free surfaces, Phys. Fluids 8 (1965) 2182-2189.
24. P.N. Brown, G.D. Byrne, A.C. Hindmarsh, VODE: a variable coefficient ode solver, SIAM J. Sci. Stat. Comput. 10 (1989) 1038-1051.
25. A.S. Almgren, J.B. Bell, W.Y. Crutchfield, Approximate projection methods: part I. Inviscid analysis, SIAM J. Sci. Comput. 22 (4) (2000) 1139-1159.
26. A.S. Almgren, J.B. Bell, P. Colella, L.H. Howell, M. Welcome, A conservative adaptive projection method for the variable density incompressible Navier-Stokes equations, J. Comput. Phys. 142 (1998) 1-46.
27. R.B. Pember, L.H. Howell, J.B. Bell, P. Colella, W.Y. Crutchfield, W.A. Fiveland, J.P. Jessee, An adaptive projection method for unsteady, low-Mach number combustion, Combust. Sci. Technol. 140 (1998) 123-168.
28. C.A. Rendleman, V.E. Beckner, M. Lijewski, W.Y. Crutchfield, J.B. Bell, Parallelization of structured, hierarchical adaptive mesh refinement algorithms, Comput. Visualization Sci. 3 (3) (2000) 147-157.
29. W.Y. Crutchfield, Load balancing irregular algorithms, Tech. Rep. UCRL-JC-107679, Lawrence Livermore National Laboratory (Jul. 1991).
30. F.X. Timmes, F.D. Swesty, The accuracy, consistency, and speed of an electron-positron equation of state based on table interpolation of the helmholtz free energy, Astrophys. J. Suppl. 126 (2000) 501-516.
31. F.X. Timmes, The physical properties of laminar helium deflagrations, Astrophys. J. 528 (2000) 913.
32. L.J. Dursi, M. Zingale, A.C. Calder, B. Fryxell, F.X. Timmes, N. Vladimirova, R. Rosner, A. Caceres, D.Q. Lamb, K. Olson, P.M. Ricker, K. Riley, A. Siegel, J.W. Truran, The response of astrophysical thermonuclear flames to curvature and stretch, Astrophys. J. 595 (2003) 955-979.
33. G.R. Caughlan, W.A. Fowler, Thermonuclear reaction rates V, At. Data Nucl. Data Tables 40 (2) (1988) 283-334, Available from http://www.phy.ornl.gov/astrophysics/data/cf88/index.html