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Volumn 215, Issue 2, 2006, Pages 717-740

Asymptotic preserving and positive schemes for radiation hydrodynamics

Author keywords

Diffusion limit; Flux limited; Monotone scheme; Radiation hydrodynamics

Indexed keywords

APPROXIMATE MODELING; ASYMPTOTICS; COARSE GRID; DIFFUSION LIMITS; FLUX LIMITED; HYDRODYNAMIC COMPUTATION; MONOTONE SCHEME; NUMERICAL SCHEME; PROPERTY; RADIATION HYDRODYNAMICS;

EID: 33846453345     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2005.11.011     Document Type: Article
Times cited : (73)

References (35)
  • 1
    • 1442289298 scopus 로고    scopus 로고
    • Asymptotic analysis of fluid models for the coupling of radiation and hydrodynamics
    • Buet C., and Despres B. Asymptotic analysis of fluid models for the coupling of radiation and hydrodynamics. J. Quant. Spectrosc. Radiat. Transfer 85 3-4 (2004) 385-418
    • (2004) J. Quant. Spectrosc. Radiat. Transfer , vol.85 , Issue.3-4 , pp. 385-418
    • Buet, C.1    Despres, B.2
  • 2
    • 85190568578 scopus 로고    scopus 로고
    • E. Audit, P. Charrier, J.-P. Chieze, B. Dubroca, A radiation-hydrodynamics scheme valid from the transport to the diffusion limit, 2002. Available from: .
  • 4
    • 15744375324 scopus 로고    scopus 로고
    • Nonlinear stability of finite volume methods for hyperbolic conservation laws, and well-balanced schemes for sources
    • Birkhaüser, Basel
    • Bouchut F. Nonlinear stability of finite volume methods for hyperbolic conservation laws, and well-balanced schemes for sources. Frontiers in Mathematics Series (2004), Birkhaüser, Basel
    • (2004) Frontiers in Mathematics Series
    • Bouchut, F.1
  • 5
    • 0035938176 scopus 로고    scopus 로고
    • One-dimensional Riemann solvers and the maximum entropy closure
    • Brunner T.A., and Holloway J.P. One-dimensional Riemann solvers and the maximum entropy closure. JQRST 69 (2001) 543-566
    • (2001) JQRST , vol.69 , pp. 543-566
    • Brunner, T.A.1    Holloway, J.P.2
  • 6
    • 2642533410 scopus 로고    scopus 로고
    • Asymptotic preserving scheme and numerical methods for radiative hydrodynamic models
    • Buet C., and Cordier S. Asymptotic preserving scheme and numerical methods for radiative hydrodynamic models. Comp. R. Math. 338 12 (2004) 951-956
    • (2004) Comp. R. Math. , vol.338 , Issue.12 , pp. 951-956
    • Buet, C.1    Cordier, S.2
  • 7
    • 85190568237 scopus 로고    scopus 로고
    • C. Buet, S. Cordier, An asymptotic preserving scheme for hydrodynamics radiative transfer models, Numer. Math. (submitted).
  • 8
    • 0039492800 scopus 로고    scopus 로고
    • Numerical methods for weakly ionized gas
    • Coquel F., and Marmignon C. Numerical methods for weakly ionized gas. Astrophys. Space Sci. 260 1-2 (1998) 15-27
    • (1998) Astrophys. Space Sci. , vol.260 , Issue.1-2 , pp. 15-27
    • Coquel, F.1    Marmignon, C.2
  • 9
    • 0000181722 scopus 로고    scopus 로고
    • Numerical simulations for radiation hydrodynamics: II. Transport limit
    • Wenlong Dai W., and Woodward P.R. Numerical simulations for radiation hydrodynamics: II. Transport limit. J. Comput. Phys. 157 1 (2000) 199-233
    • (2000) J. Comput. Phys. , vol.157 , Issue.1 , pp. 199-233
    • Wenlong Dai, W.1    Woodward, P.R.2
  • 10
    • 0033570799 scopus 로고    scopus 로고
    • Entropy moment closure hierarchy for the radiative transfer equation
    • Feugeas J.L., and Dubroca B. Entropy moment closure hierarchy for the radiative transfer equation. C. R. Acad. Sci., Paris, Sér. I, Math. 329 10 (1999) 915-920
    • (1999) C. R. Acad. Sci., Paris, Sér. I, Math. , vol.329 , Issue.10 , pp. 915-920
    • Feugeas, J.L.1    Dubroca, B.2
  • 11
    • 0036013523 scopus 로고    scopus 로고
    • Localization effects and measure source terms in numerical schemes for Balance laws
    • Gosse L. Localization effects and measure source terms in numerical schemes for Balance laws. Math. Comp. 71 238 (2002) 553-582
    • (2002) Math. Comp. , vol.71 , Issue.238 , pp. 553-582
    • Gosse, L.1
  • 12
    • 85190571771 scopus 로고    scopus 로고
    • L. Gosse, G. Toscani, Space localization and well-balanced schemes for discrete kinetic models in diffusive regime, SIAM J. Numer. Anal. 41 (2003) No. 2641-658.
  • 13
    • 0035590547 scopus 로고    scopus 로고
    • A well-balanced scheme using non-conservative products designed for hyperbolic systems of conservation laws with source terms
    • Gosse L. A well-balanced scheme using non-conservative products designed for hyperbolic systems of conservation laws with source terms. Math. Mod. Meth. Appl. Sci. 11 (2001) 339-365
    • (2001) Math. Mod. Meth. Appl. Sci. , vol.11 , pp. 339-365
    • Gosse, L.1
  • 14
    • 0030194392 scopus 로고    scopus 로고
    • Numerical schemes for hyperbolic conservation laws with stiff relaxation terms
    • Article No.0149
    • Jin S., and Levermore C.D. Numerical schemes for hyperbolic conservation laws with stiff relaxation terms. J. Comput. Phys. 126 (1996) 449-467 Article No.0149
    • (1996) J. Comput. Phys. , vol.126 , pp. 449-467
    • Jin, S.1    Levermore, C.D.2
  • 15
    • 0034436875 scopus 로고    scopus 로고
    • Uniformly accurate diffusive relaxation schemes for multiscale transport equations
    • Jin S., Pareschi L., and Toscani G. Uniformly accurate diffusive relaxation schemes for multiscale transport equations. SIAM J. Numer. Anal. 38 (2000) 913
    • (2000) SIAM J. Numer. Anal. , vol.38 , pp. 913
    • Jin, S.1    Pareschi, L.2    Toscani, G.3
  • 16
    • 84990701264 scopus 로고
    • The relaxation schemes for systems of conservation laws in arbitrary space dimensions
    • Jin S., and Xin Z. The relaxation schemes for systems of conservation laws in arbitrary space dimensions. Commun. Pure Appl. Math. 48 (1995) 235-276
    • (1995) Commun. Pure Appl. Math. , vol.48 , pp. 235-276
    • Jin, S.1    Xin, Z.2
  • 17
    • 84968497746 scopus 로고
    • Why nonconservative schemes converge to wrong solutions: error analysis
    • Hou T.Y., and LeFloch P.G. Why nonconservative schemes converge to wrong solutions: error analysis. Math. Comput. 62 (1994) 497-530
    • (1994) Math. Comput. , vol.62 , pp. 497-530
    • Hou, T.Y.1    LeFloch, P.G.2
  • 18
    • 48749142061 scopus 로고
    • Relating Eddington factors to flux limiters
    • Levermore C.D. Relating Eddington factors to flux limiters. J. Quant. Spectrosc. Radiat. Transfer 31 2 (1984) 149-160
    • (1984) J. Quant. Spectrosc. Radiat. Transfer , vol.31 , Issue.2 , pp. 149-160
    • Levermore, C.D.1
  • 19
    • 0030534703 scopus 로고    scopus 로고
    • Moment closure hierarchies for kinetic theories
    • Levermore C.D. Moment closure hierarchies for kinetic theories. J. Stat. Phys. 83 5-6 (1996) 1021-1065
    • (1996) J. Stat. Phys. , vol.83 , Issue.5-6 , pp. 1021-1065
    • Levermore, C.D.1
  • 20
    • 0033542986 scopus 로고    scopus 로고
    • The coupling of radiation and hydrodynamics
    • Lowrie R.B., Morel J.E., and Hittinger J.A. The coupling of radiation and hydrodynamics. Astrophys. J. 521 (1999) 432-450
    • (1999) Astrophys. J. , vol.521 , pp. 432-450
    • Lowrie, R.B.1    Morel, J.E.2    Hittinger, J.A.3
  • 21
    • 0035874157 scopus 로고    scopus 로고
    • Issues with high-resolution Godunov methods for radiation hydrodynamics
    • Lowrie R.B., and Morel J.E. Issues with high-resolution Godunov methods for radiation hydrodynamics. J. Quant. Spectrosc. Radiat. Transfer 69 4 (2001) 475-489
    • (2001) J. Quant. Spectrosc. Radiat. Transfer , vol.69 , Issue.4 , pp. 475-489
    • Lowrie, R.B.1    Morel, J.E.2
  • 22
    • 0005437541 scopus 로고    scopus 로고
    • Discontinuous Galerkin for hyperbolic systems with sti relaxation
    • Cockburn B., Karniadakis G.E., and Shu C.W. (Eds), Springer, Berlin
    • Lowrie R.B., and Morel J.E. Discontinuous Galerkin for hyperbolic systems with sti relaxation. In: Cockburn B., Karniadakis G.E., and Shu C.W. (Eds). Discontinuous Galerkin Methods: Theory, Computation and Applications (2000), Springer, Berlin 385
    • (2000) Discontinuous Galerkin Methods: Theory, Computation and Applications , pp. 385
    • Lowrie, R.B.1    Morel, J.E.2
  • 23
    • 0037201084 scopus 로고    scopus 로고
    • Methods for hyperbolic systems with stiff relaxation
    • Lowrie R.B., and Morel J.E. Methods for hyperbolic systems with stiff relaxation. Int. J. Numer. Meth. Fluids 40 (2002) 413-423
    • (2002) Int. J. Numer. Meth. Fluids , vol.40 , pp. 413-423
    • Lowrie, R.B.1    Morel, J.E.2
  • 24
    • 85190570403 scopus 로고    scopus 로고
    • Springer, Berlin
    • Mihalas D. Computational Methods for Astrophysical Fluid Flow, Saas-Fee Advandced Course. Lectures Notes (1997), Springer, Berlin
    • (1997) Lectures Notes
    • Mihalas, D.1
  • 28
    • 0000287554 scopus 로고    scopus 로고
    • Numerical schemes for hyperbolic systems of conservation law with stiff diffusive relaxation
    • Naldi G., and Pareschi L. Numerical schemes for hyperbolic systems of conservation law with stiff diffusive relaxation. SIAM J. Numer. Anal. 37 4 (2000) 1246-1270
    • (2000) SIAM J. Numer. Anal. , vol.37 , Issue.4 , pp. 1246-1270
    • Naldi, G.1    Pareschi, L.2
  • 29
    • 85190568868 scopus 로고    scopus 로고
    • 1, and other approximate forms of radiation transport, Los Alamos Report LA-UR-99-471.
  • 30
    • 85190569007 scopus 로고    scopus 로고
    • Y. Saillard, Hydrodynamique de l'implosion d'une cible FCI, Comptes Rendus de l'Académie des Sciences - Series IV - Physics, vol. 1 (6), August, 2000, pp. 705-718.
  • 31
    • 0000891911 scopus 로고    scopus 로고
    • Hyperbolicity and critical points in two-moments approximate radiative transfer
    • Smit J.M., Cernohorsky J., and Dullemond C.P. Hyperbolicity and critical points in two-moments approximate radiative transfer. Astron. Astrophys. 325 (1997) 203-211
    • (1997) Astron. Astrophys. , vol.325 , pp. 203-211
    • Smit, J.M.1    Cernohorsky, J.2    Dullemond, C.P.3
  • 33
    • 4344582325 scopus 로고    scopus 로고
    • Solving the radiation diffusion and energy balance equations using pseudo-transient continuation
    • Shestakov A.I., Greenough J.A., and Howell L.H. Solving the radiation diffusion and energy balance equations using pseudo-transient continuation. J. Quant. Spectrosc. Radiat. Transfer 90 (2005)
    • (2005) J. Quant. Spectrosc. Radiat. Transfer , vol.90
    • Shestakov, A.I.1    Greenough, J.A.2    Howell, L.H.3


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