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Volumn 142, Issue 1, 1998, Pages 182-207

Numerical Simulations for Radiation Hydrodynamics. I. Diffusion Limit

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; FINITE DIFFERENCE METHOD; ITERATIVE METHODS; PHYSICAL PROPERTIES;

EID: 0000447269     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1998.5940     Document Type: Article
Times cited : (38)

References (30)
  • 1
    • 84953600891 scopus 로고
    • A practical method for numerical evaluation of solution of partial differential equations of the heat conduction type
    • Crank J., Nicolson P. A practical method for numerical evaluation of solution of partial differential equations of the heat conduction type. Proc. Camb. Philos. Soc. 43:1947;50.
    • (1947) Proc. Camb. Philos. Soc. , vol.43 , pp. 50
    • Crank, J.1    Nicolson, P.2
  • 2
    • 0000935266 scopus 로고
    • Difference methods for the numerical calculation of the equations of fluid dynamics
    • Godunov S. K. Difference methods for the numerical calculation of the equations of fluid dynamics. Math. Sb. 47:1959;271.
    • (1959) Math. Sb. , vol.47 , pp. 271
    • Godunov, S.K.1
  • 3
  • 4
    • 0000811219 scopus 로고
    • On the convergence of a relaxation method with natural constraints on the elliptic operator
    • Bachvalov N. S. On the convergence of a relaxation method with natural constraints on the elliptic operator. USSR Comput. Math. and Math. Phys. 6:1966;101.
    • (1966) USSR Comput. Math. and Math. Phys. , vol.6 , pp. 101
    • Bachvalov, N.S.1
  • 5
    • 84968520057 scopus 로고
    • A linear three-level difference scheme for quasi-linear parabolic equations
    • Lees M. A linear three-level difference scheme for quasi-linear parabolic equations. Math. Comput. 20:1966;516.
    • (1966) Math. Comput. , vol.20 , pp. 516
    • Lees, M.1
  • 7
    • 0001518684 scopus 로고
    • On construction and comparison of differential schemes
    • Strang G. On construction and comparison of differential schemes. SIAM J. Numer. Anal. 5:1968;506.
    • (1968) SIAM J. Numer. Anal. , vol.5 , pp. 506
    • Strang, G.1
  • 8
    • 0012223973 scopus 로고
    • Multi-level adaptive solution technique (MLAT) for fast numerical solution to boundary value problems
    • Brandt A. Multi-level adaptive solution technique (MLAT) for fast numerical solution to boundary value problems. Lecture Notes in Phys. 18:1973;82.
    • (1973) Lecture Notes in Phys. , vol.18 , pp. 82
    • Brandt, A.1
  • 10
    • 0040234132 scopus 로고
    • On multiple grid and related techniques for solving discrete elliptic systems
    • Nicolaides R. A. On multiple grid and related techniques for solving discrete elliptic systems. J. Comput. Phys. 19:1975;418.
    • (1975) J. Comput. Phys. , vol.19 , pp. 418
    • Nicolaides, R.A.1
  • 11
    • 2442433925 scopus 로고
    • Toward the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
    • Van Leer B. Toward the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method. J. Comput. Phys. 32:1979;101.
    • (1979) J. Comput. Phys. , vol.32 , pp. 101
    • Van Leer, B.1
  • 13
    • 2942757053 scopus 로고
    • Approximate Riemann solvers, parameters vectors, and difference schemes
    • Roe P. L. Approximate Riemann solvers, parameters vectors, and difference schemes. J. Comput. Phys. 43:1981;357.
    • (1981) J. Comput. Phys. , vol.43 , pp. 357
    • Roe, P.L.1
  • 15
    • 0000030941 scopus 로고
    • High resolution difference schemes for compressible gas dynamics
    • Woodward P. R., Colella P. High resolution difference schemes for compressible gas dynamics. Lecture Notes in Phys. 141:1981;434.
    • (1981) Lecture Notes in Phys. , vol.141 , pp. 434
    • Woodward, P.R.1    Colella, P.2
  • 16
    • 0013269051 scopus 로고
    • A comparison of two- And three-level integration schemes for non-linear heat conduction
    • Hogge M. A. A comparison of two- and three-level integration schemes for non-linear heat conduction. Numerical Methods in Heat Transfer. 1981;75-90.
    • (1981) Numerical Methods in Heat Transfer , pp. 75-90
    • Hogge, M.A.1
  • 17
    • 40749159424 scopus 로고
    • High resolution schemes for hyperbolic conservation laws
    • Harten A. High resolution schemes for hyperbolic conservation laws. J. Comput. Phys. 49:1983;357.
    • (1983) J. Comput. Phys. , vol.49 , pp. 357
    • Harten, A.1
  • 19
    • 48749139407 scopus 로고
    • The numerical simulation of two-dimensional fluid flow with strong shocks
    • Woodward P. R., Colella P. The numerical simulation of two-dimensional fluid flow with strong shocks. J. Comput. Phys. 54:1984;115.
    • (1984) J. Comput. Phys. , vol.54 , pp. 115
    • Woodward, P.R.1    Colella, P.2
  • 20
    • 34547419627 scopus 로고
    • The piecewise parabolic method (PPM) for gas-dynamical simulations
    • Colella P., Woodward P. R. The piecewise parabolic method (PPM) for gas-dynamical simulations. J. Comput. Phys. 54:1984;174.
    • (1984) J. Comput. Phys. , vol.54 , pp. 174
    • Colella, P.1    Woodward, P.R.2
  • 22
    • 0004226358 scopus 로고
    • Piecewise-parabolic methods for astrophysical fluid dynamics
    • K.-H. A. WinklerM. L. Norman, 326
    • P. R. Woodward, Piecewise-parabolic methods for astrophysical fluid dynamics, Astrophysical Radiation Hydrodynamics, K.-H. A. WinklerM. L. Norman, 1986, 245, 326.
    • (1986) Astrophysical Radiation Hydrodynamics , pp. 245
    • P. R. Woodward1
  • 25
    • 0023329384 scopus 로고
    • Uniformly high order accurate non-oscillatory schemes
    • Harten A., Osher S. Uniformly high order accurate non-oscillatory schemes. SIAM J. Numer. Anal. 24:1987;279.
    • (1987) SIAM J. Numer. Anal. , vol.24 , pp. 279
    • Harten, A.1    Osher, S.2
  • 26
  • 27
    • 0000494892 scopus 로고
    • Higher order Godunov methods for general systems of hyperbolic conservation laws
    • Bell J. B., Colella P., Trangenstein J. A. Higher order Godunov methods for general systems of hyperbolic conservation laws. J. Comput. Phys. 82:1989;362.
    • (1989) J. Comput. Phys. , vol.82 , pp. 362
    • Bell, J.B.1    Colella, P.2    Trangenstein, J.A.3
  • 29
    • 0003161948 scopus 로고
    • A simple Riemann solver and high-order Godunov schemes for hyperbolic systems of conservation laws
    • Dai W., Woodward P. R. A simple Riemann solver and high-order Godunov schemes for hyperbolic systems of conservation laws. J. Comput. Phys. 121:1995;51.
    • (1995) J. Comput. Phys. , vol.121 , pp. 51
    • Dai, W.1    Woodward, P.R.2
  • 30
    • 0030094246 scopus 로고    scopus 로고
    • Iterative implementation of an implicit-explicit hybrid scheme for hydrodynamics
    • Dai W., Woodward P. R. Iterative implementation of an implicit-explicit hybrid scheme for hydrodynamics. J. Comput. Phys. 124:1996;217.
    • (1996) J. Comput. Phys. , vol.124 , pp. 217
    • Dai, W.1    Woodward, P.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.