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Volumn 154, Issue 2, 2006, Pages 174-189

Temporal accuracy of the nonequilibrium radiation diffusion equations applied to two-dimensional multimaterial simulations

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; DIFFUSION; PROBLEM SOLVING; RADIATION;

EID: 33750053567     PISSN: 00295639     EISSN: None     Source Type: Journal    
DOI: 10.13182/NSE06-A2624     Document Type: Article
Times cited : (27)

References (22)
  • 1
    • 15944385321 scopus 로고    scopus 로고
    • Fully implicit solution of large-scale non-equilibrium radiation diffusion with high order time integration
    • P. N. BROWN, D. E. SHUMAKER, and C. S. WOODWARD, "Fully Implicit Solution of Large-Scale Non-Equilibrium Radiation Diffusion with High Order Time Integration," J. Comput. Phys., 204, 760 (2005).
    • (2005) J. Comput. Phys. , vol.204 , pp. 760
    • Brown, P.N.1    Shumaker, D.E.2    Woodward, C.S.3
  • 2
    • 1842817865 scopus 로고    scopus 로고
    • A comparison of implicit time integration methods for nonlinear relaxation and diffusion
    • R. B. LOWRIE, "A Comparison of Implicit Time Integration Methods for Nonlinear Relaxation and Diffusion," J. Comput. Phys., 196, 566 (2004).
    • (2004) J. Comput. Phys. , vol.196 , pp. 566
    • Lowrie, R.B.1
  • 3
    • 1442332730 scopus 로고    scopus 로고
    • Studies on the accuracy of time integration methods for radiation-diffusion equations
    • C. C. OBER and J. N. SHADID, "Studies on the Accuracy of Time Integration Methods for Radiation-Diffusion Equations," J. Comput. Phys., 195, 743 (2004).
    • (2004) J. Comput. Phys. , vol.195 , pp. 743
    • Ober, C.C.1    Shadid, J.N.2
  • 4
    • 1442282996 scopus 로고    scopus 로고
    • Studies of the accuracy of time integration methods for reaction-diffusion equations
    • D. L. ROPP, J. N. SHADID, and C. C. OBER, "Studies of the Accuracy of Time Integration Methods for Reaction-Diffusion Equations," J. Comput. Phys., 194, 544 (2004).
    • (2004) J. Comput. Phys. , vol.194 , pp. 544
    • Ropp, D.L.1    Shadid, J.N.2    Ober, C.C.3
  • 5
    • 0037336326 scopus 로고    scopus 로고
    • On balanced approximations for time integration of multiple time scale systems
    • D. A. KNOLL, L. CHACON, L. G. MARGOLIN, and V. A. MOUSSEAU, "On Balanced Approximations for Time Integration of Multiple Time Scale Systems," J. Comput. Phys., 185, 583 (2003).
    • (2003) J. Comput. Phys. , vol.185 , pp. 583
    • Knoll, D.A.1    Chacon, L.2    Margolin, L.G.3    Mousseau, V.A.4
  • 6
    • 0042858337 scopus 로고    scopus 로고
    • New physics-based preconditioning of implicit methods for non-equilibrium radiation diffusion
    • V. A. MOUSSEAU and D. A. KNOLL, "New Physics-Based Preconditioning of Implicit Methods for Non-Equilibrium Radiation Diffusion," J. Comput. Phys., 190, 42 (2003).
    • (2003) J. Comput. Phys. , vol.190 , pp. 42
    • Mousseau, V.A.1    Knoll, D.A.2
  • 7
    • 0000109908 scopus 로고    scopus 로고
    • Physics-based preconditioning and the Newton-Krylov method for non-equilibrium radiation diffusion
    • V. A. MOUSSEAU, D. A. KNOLL, and W. J. RIDER, "Physics-Based Preconditioning and the Newton-Krylov Method for Non-Equilibrium Radiation Diffusion," J. Comput. Phys., 160, 743 (2000).
    • (2000) J. Comput. Phys. , vol.160 , pp. 743
    • Mousseau, V.A.1    Knoll, D.A.2    Rider, W.J.3
  • 8
    • 0002404123 scopus 로고    scopus 로고
    • An efficient nonlinear solution method for non-equilibrium radiation diffusion
    • D. A. KNOLL, W. J. RIDER, and G. L. OLSON, "An Efficient Nonlinear Solution Method for Non-Equilibrium Radiation Diffusion," J. Quant. Spectrosc. Radiat. Transfer, 63, 15 (1999).
    • (1999) J. Quant. Spectrosc. Radiat. Transfer , vol.63 , pp. 15
    • Knoll, D.A.1    Rider, W.J.2    Olson, G.L.3
  • 9
    • 0026955540 scopus 로고
    • Numerical transport and diffusion methods in radiative transfer
    • R. H. SZILARD and G. C. POMRANING, "Numerical Transport and Diffusion Methods in Radiative Transfer," Nucl. Sci. Eng., 112, 256 (1992).
    • (1992) Nucl. Sci. Eng. , vol.112 , pp. 256
    • Szilard, R.H.1    Pomraning, G.C.2
  • 11
    • 32644442468 scopus 로고
    • Transport phenomena in a completely ionized gas
    • L. SPITZER and R. HARM, "Transport Phenomena in a Completely Ionized Gas," Phys. Rev., 89, 977 (1953).
    • (1953) Phys. Rev. , vol.89 , pp. 977
    • Spitzer, L.1    Harm, R.2
  • 13
    • 0001651643 scopus 로고
    • Nonlinearly preconditioned Krylov subspace methods for discrete Newton algorithms
    • T. F. CHAN and K. R. JACKSON, "Nonlinearly Preconditioned Krylov Subspace Methods for Discrete Newton Algorithms," SIAM J. Sci. Stat. Comput., 5, 533 (1984).
    • (1984) SIAM J. Sci. Stat. Comput. , vol.5 , pp. 533
    • Chan, T.F.1    Jackson, K.R.2
  • 14
    • 0000977352 scopus 로고
    • Hybrid Krylov methods for nonlinear systems of equations
    • P. N. BROWN and Y. SAAD, "Hybrid Krylov Methods for Nonlinear Systems of Equations," SIAM J. Sci. Stat. Cornput., 11, 450 (1990).
    • (1990) SIAM J. Sci. Stat. Cornput. , vol.11 , pp. 450
    • Brown, P.N.1    Saad, Y.2
  • 15
    • 0348198275 scopus 로고    scopus 로고
    • Jacobian-free Newton-Krylov methods: A survey of approaches and applications
    • D. A. KNOLL and D. E. KEYES, "Jacobian-Free Newton-Krylov Methods: A Survey of Approaches and Applications," J. Comput. Phys., 193, 357 (2004).
    • (2004) J. Comput. Phys. , vol.193 , pp. 357
    • Knoll, D.A.1    Keyes, D.E.2
  • 16
    • 0000048673 scopus 로고
    • GMRES: A generalized minimal residual algorithm for solving non-symmetric linear systems
    • Y. SAAD and M. H. SCHULTZ, "GMRES: A Generalized Minimal Residual Algorithm for Solving Non-Symmetric Linear Systems," SIAM J. Sci. Stat. Comput., 7, 856 (1986).
    • (1986) SIAM J. Sci. Stat. Comput. , vol.7 , pp. 856
    • Saad, Y.1    Schultz, M.H.2
  • 18
    • 0022738825 scopus 로고
    • Matrix-free methods for stiff systems of ODE's
    • P. N. BROWN and A. C. HINDMARSH, "Matrix-Free Methods for Stiff Systems of ODE's," SIAM J. Numer. Anal., 23, 610 (1986).
    • (1986) SIAM J. Numer. Anal. , vol.23 , pp. 610
    • Brown, P.N.1    Hindmarsh, A.C.2
  • 19
    • 0000112658 scopus 로고
    • A truncated Newton optimization algorithm in meteorology applications with analytic hessian/vector products
    • Z. WANG, I. M. NAVON, X. ZOU, and F. X. LE DIMET, "A Truncated Newton Optimization Algorithm in Meteorology Applications with Analytic Hessian/Vector Products," Cornput. Optimiz. Appl., 4, 241 (1995).
    • (1995) Cornput. Optimiz. Appl. , vol.4 , pp. 241
    • Wang, Z.1    Navon, I.M.2    Zou, X.3    Le Dimet, F.X.4
  • 20
    • 0001518684 scopus 로고
    • On the construction of difference schemes
    • G. STRANG, "On the Construction of Difference Schemes," SIAM J. Numer. Anal., 5, 506 (1968).
    • (1968) SIAM J. Numer. Anal. , vol.5 , pp. 506
    • Strang, G.1
  • 21
    • 0343773104 scopus 로고    scopus 로고
    • Nonlinear convergence, accuracy, and time step control in nonequilibrium radiation diffusion
    • D. A. KNOLL, W. J. RIDER, and G. L. OLSON, "Nonlinear Convergence, Accuracy, and Time Step Control in Nonequilibrium Radiation Diffusion," J. Quant. Spectrosc. Radiat. Transfer, 70, 25 (2001).
    • (2001) J. Quant. Spectrosc. Radiat. Transfer , vol.70 , pp. 25
    • Knoll, D.A.1    Rider, W.J.2    Olson, G.L.3
  • 22
    • 0001481696 scopus 로고    scopus 로고
    • Time step size selection for radiation diffusion calculations
    • W. J. RIDER and D. A. KNOLL, "Time Step Size Selection for Radiation Diffusion Calculations," J. Comput. Phys., 152, 790 (1999).
    • (1999) J. Comput. Phys. , vol.152 , pp. 790
    • Rider, W.J.1    Knoll, D.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.