Self-consistent solution of cosmological radiation-hydrodynamics and chemical ionization

Journal of Computational Physics

Volumn 228, Issue 18, 2009, Pages 6833-6854

  Reynolds, Daniel R ^a   Hayes, John C ^b   Paschos, Pascal ^c   Norman, Michael L ^c  

^a SOUTHERN METHODIST UNIVERSITY   (United States)

^b LAWRENCE LIVERMORE NATIONAL LABORATORY   (United States)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Cosmology; Hydrodynamics; Implicit methods; Ionization; Numerical methods; Radiation

Indexed keywords

COSMOLOGY; HEAT RADIATION; HYDRODYNAMICS; IONIZATION OF GASES; RADIATIVE TRANSFER;

CHEMICAL IONIZATION; HYDRODYNAMIC CODES; HYDRODYNAMIC FLUX; HYDRODYNAMICS EQUATION; IMPLICIT METHODS; OPERATOR SPLIT; PIECEWISE PARABOLIC METHOD; RADIATION HYDRODYNAMICS; RADIATION TRANSPORT; SELF-CONSISTENT SOLUTION;

NUMERICAL METHODS;

EID: 68049085572     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2009.06.006     Document Type: Article

References (48)

1. Barkana R., and Loeb A. The physics and early history of the intergalactic medium. Reports on Progress in Physics 70 (2007) 627-657
2. Norman M.L., Bryan G.L., Harkness R., Bordner J., Reynolds D.R., O'Shea B., and Wagner R. Petascale Computing: Algorithms and Applications. Simulating Cosmological Evolution with Enzo (2007), CRC Press
3. Springel V. The cosmological simulation code GADGET-2. MNRAS 364 (2005) 1105-1134
4. Iliev I.T., Ciardi B., Alvarez M.A., Maselli A., Ferrara A., Gnedin N.Y., Mellema G., Nakamoto T., Norman M.L., Razoumov A.O., Rijkhorst E.-J., Ritzerveld J., Shapiro P.R., Susa H., Umemura M., and Whalen D.J. Cosmological radiative transfer codes comparison project - I. The static density field tests. MNRAS 371 (2006) 1057-1086
5. 2-ray: a new method for photon-conserving transport of ionizing radiation. New A 11 (2006) 374-395
6. Susa H., and Umemura M. Formation of dwarf galaxies during the cosmic reionization. ApJ 600 (2004) 1-16
7. Whalen D., and Norman M.L. A multistep algorithm for the radiation hydrodynamical transport of cosmological ionization fronts and ionized flows. ApJ 162 Suppl. (2006) 281-303
8. Rijkhorst E.-J., Plewa T., Dubey A., and Mellema G. Hybrid characteristics: 3D radiative transfer for parallel adaptive mesh refinement hydrodynamics. A&A 452 (2006) 907-920
9. Maselli A., Ferrara A., and Ciardi B. CRASH: a radiative transfer scheme. MNRAS 345 (2003) 379-394
10. Semelin B., Combes F., and Baek S. Lyman-alpha radiative transfer during the epoch of reionization: contribution to 21-cm signal fluctuations. A&A 474 (2007) 365-374
11. Gnedin N.Y., and Abel T. Multi-dimensional cosmological radiative transfer with a variable Eddington tensor formalism. New A 6 (2001) 437-455
12. Hayes J.C., and Norman M.L. Beyond flux-limited diffusion: parallel algorithms for multidimensional radiation hydrodynamics. ApJ 147 Suppl. (2003) 197-220
13. P. Paschos, M.L. Norman, J.O. Bordner, R. Harkness, Late reheating of the IGM by quasars: a radiation hydrodynamical simulation of helium II reionization, ArXiv e-prinsarXiv:0711.1904.
14. Bryan G.L., Norman M.L., Stone J.M., Cen R., and Ostriker J.P. A piecewise parabolic method for cosmological hydrodynamics. Comp. Phys. Commun. 89 (1995) 149-168
15. P. Paschos, On the ionization and chemical evolution of the intergalactic medium, Ph.D. Thesis, University of Illinois at Urbana-Champaign, 2005.
16. Abel T., Anninos P., Zhang Y., and Norman M.L. Modeling primordial gas in numerical cosmology. New A 2 (1997) 181-207
17. Hui L., and Gnedin N.Y. Equation of state of the photoionized intergalactic medium. MNRAS 292 (1997) 27-42
18. R.W. Hockney, J.W. Eastwood (Eds.), Computer Simulation Using Particles, 1988.
19. M.L. Norman, G.L. Bryan, Cosmological adaptive mesh refinement, in: S.M. Miyama, K. Tomisaka, T. Hanawa (Eds.), Numerical Astrophysics, Astrophysics and Space Science Library, vol. 240, 1999, pp. 19-28.
20. O'Shea B.W., Bryan G., Bordner J.O., Norman M.L., Abel T., Harkness R., and Kritsuk A. Adaptive Mesh Refinement - Theory and Applications, Lecture Notes in Computational Science and Engineering. Introducing Enzo, An AMR Cosmology Application (2004), Springer
21. Hayes J.C., Norman M.L., Fiedler R.A., Bordner J.O., Li P.S., Clark S.E., ud-Doula A., and Low M.-M.M. Simulating radiating and magnetized flows in multiple dimensions with ZEUS-MP. ApJ 165 Suppl. (2006) 188-228
22. Howell L.H., and Greenough J.A. Radiation diffusion for multi-fluid Eulerian hydrodynamics with adaptive mesh refinement. J. Comp. Phys. 184 (2003) 53-78
23. Black J. The physical state of primordial intergalactic clouds. Mon. Not. R. Astr. Soc. 197 (1981) 553-563
24. Osterbrock D.E. Astrophysics of Gaseous Nebulae and Active Galactic Nuclei (1989), University Science Books, Mill Valley, California
25. Cen R. A hydrodynamic approach to cosmology: Methodology. ApJ 78 Suppl. (1992) 341
26. Razoumov A.O., Norman M.L., Abel T., and Scott D. Cosmological hydrogen reionization with three-dimensional radiative transfer. ApJ 572 (2002) 695-704
27. Levermore C.D. Relating Eddington factors to flux limiters. J. Quant. Spectrosc. Radiat. Transfer 31 2 (1984) 149-160
28. Levermore C.D., and Pomraning G.C. A flux-limited diffusion theory. ApJ 248 (1981) 321-334
29. Colella P., and Woodward P.R. The piecewise parabolic method (PPM) for gas-dynamical simulations. J. Comp. Phys. 54 (1984) 174-201
30. Enzo code project page. .
31. Simo J.C., and Armero F. Unconditional stability and long-term behavior of transient algorithms for the incompressible Navier-Stokes and Euler equations. CMAME 111 (1994) 111-154
32. Østerby O. Five ways of reducing the Crank-Nicolson oscillations. BIT Numer. Math. 43 (2003) 811-822
33. Kelley C.T. Iterative methods for linear and nonlinear equations. Frontiers Appl. Math. vol. 16 (1995), SIAM
34. Knoll D.A., and Keyes D.E. Jacobian-free Newton-Krylov methods: a survey of approaches and applications. J. Comp. Phys. 193 (2004) 357-397
35. Dennis J.E., and Schnabel R.B. Numerical Methods for Unconstrained Optimization and Nonlinear Equations (1996), SIAM, Philadelphia
36. Ortega J.M., and Rheinboldt W.C. Iterative Solution of Nonlinear Equations in Several Variables (2000), SIAM
37. Eisenstat S.C., and Walker H.F. Choosing the forcing terms in an inexact Newton method. SIAM J. Sci. Comp. 17 (1996) 16-32
38. Weiser M., Schiela A., and Deuflhard P. Asymptotic mesh independence of Newton's method revisited. SIAM J. Numer. Anal. 42 (2005) 1830-1845
39. Brown P.N., and Woodward C.S. Preconditioning strategies for fully implicit radiation diffusion with material-energy transfer. SIAM J. Sci. Comp. 23 (2001) 499-516
40. Falgout R.D., and Yang U.M. Computational Science - ICCS 2002 Part III, Lecture Notes in Computer Science. Hypre: A Library of High Performance Preconditioners vol. 2331 (2002), Springer-Verlag 632-641
41. HYPRE code project page. .
42. Baker A.H., Falgout R.D., and Yang U.M. An assumed partition algorithm for determining processor inter-communication. Parallel Comput. 32 (2006) 319-414
43. Turner N.J., and Stone J.M. A module for radiation hydrodynamic calculations with ZEUS-2D using flux-limited diffusion. ApJ 135 Suppl. (2001) 95-107 10.1086/321779
44. Pomraning G.C. The non-equilibrium Marshak wave problem. JQSRT 21 (1979) 249-261
45. Su B., and Olson G.L. Benchmark results for the non-equilibrium Marshak diffusion problem. JQSRT 56 (1996) 337-351
46. Lowrie R.B., and Edwards J.D. Radiative shock solutions with grey nonequilibrium diffusion. Shock Waves 18 2 (2008) 129-143
47. Shapiro P.R., and Giroux M.L. Cosmological HII regions and the photoionization of the intergalactic medium. ApJ 321 (1987) L107-L112
48. Peebles P.J.E. Principles of Physical Cosmology (1993), Princeton University Press