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Volumn 200, Issue 1, 2004, Pages 104-132

Implicitly balanced solution of the two-phase flow equations coupled to nonlinear heat conduction

Author keywords

Implicit; Nonlinear; Preconditioning; Two phase flow

Indexed keywords

HEAT CONDUCTION; NONLINEAR EQUATIONS;

EID: 4544266331     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcp.2004.03.009     Document Type: Article
Times cited : (57)

References (38)
  • 1
    • 0003667940 scopus 로고    scopus 로고
    • US Nuclear Regulatory Commission, Office of Nuclear Regulatory Research, Washington, DC 20555-001, TRAC-M/FORTRAN 90 (Version 3.0) NUREG/CR-6724 Edition (April)
    • US Nuclear Regulatory Commission, Office of Nuclear Regulatory Research, Washington, DC 20555-001, TRAC-M/FORTRAN 90 (Version 3.0) Theory Manual, NUREG/CR-6724 Edition (April 2001)
    • (2001) Theory Manual
  • 2
    • 4544239917 scopus 로고    scopus 로고
    • US Nuclear Regulatory Commission, Office of Nuclear Regulatory Research, Washington, DC 20555-001, NUREG/CR-5535 Edition (December)
    • US Nuclear Regulatory Commission, Office of Nuclear Regulatory Research, Washington, DC 20555-001, RELAP5/MOD3.3 Code Manual volume I: Code Structure, System Models, and Solution Methods, NUREG/CR-5535 Edition (December 2001)
    • (2001) RELAP5/MOD3.3 Code Manual Volume I: Code Structure, System Models, and Solution Methods
  • 4
    • 0001316785 scopus 로고
    • A stability-enhancing two-step method for fluid flow calculations
    • Mahaffy J. A stability-enhancing two-step method for fluid flow calculations J. Comput. Phys. 46 1982 329-341
    • (1982) J. Comput. Phys. , vol.46 , pp. 329-341
    • Mahaffy, J.1
  • 5
    • 0003094240 scopus 로고
    • A nearly-implicit hydrodynamic numerical scheme for two-phase flows
    • Trapp J. Riemke R. A nearly-implicit hydrodynamic numerical scheme for two-phase flows J. Comput. Phys. 66 1986 62-82
    • (1986) J. Comput. Phys. , vol.66 , pp. 62-82
    • Trapp, J.1    Riemke, R.2
  • 6
    • 49649156119 scopus 로고
    • A numerical fluid dynamics calculation method for all flow speeds
    • Harlow F. Amsden A. A numerical fluid dynamics calculation method for all flow speeds J. Comput. Phys. 8 1971 197-231
    • (1971) J. Comput. Phys. , vol.8 , pp. 197-231
    • Harlow, F.1    Amsden, A.2
  • 7
    • 0347063082 scopus 로고
    • A discrete particle model for bubble-slug two-phase flows
    • Trapp J. Mortensen G. A discrete particle model for bubble-slug two-phase flows J. Comput. Phys. 107 1993 367-377
    • (1993) J. Comput. Phys. , vol.107 , pp. 367-377
    • Trapp, J.1    Mortensen, G.2
  • 8
    • 0031270888 scopus 로고    scopus 로고
    • The particle fluid model and using Lagrangian representation in two-phase flow modeling
    • Pokharna H. Mori M. Ransom V. The particle fluid model and using Lagrangian representation in two-phase flow modeling Nucl. Eng. Design 175 1997 59-69
    • (1997) Nucl. Eng. Design , vol.175 , pp. 59-69
    • Pokharna, H.1    Mori, M.2    Ransom, V.3
  • 9
    • 0037141610 scopus 로고    scopus 로고
    • Interfacial area transport equation: Model development and benchmark experiments
    • Ishii M. Kim S. Uhle J. Interfacial area transport equation: model development and benchmark experiments Int. J. Heat Mass Transfer 45 2002 3111-3123
    • (2002) Int. J. Heat Mass Transfer , vol.45 , pp. 3111-3123
    • Ishii, M.1    Kim, S.2    Uhle, J.3
  • 10
    • 0037007182 scopus 로고    scopus 로고
    • Development of one-group interfacial area transport equation in bubbly flow systems
    • Hibiki T. Ishii M. Development of one-group interfacial area transport equation in bubbly flow systems Int. J. Heat Mass Transfer 45 2002 2351-2372
    • (2002) Int. J. Heat Mass Transfer , vol.45 , pp. 2351-2372
    • Hibiki, T.1    Ishii, M.2
  • 11
    • 0030584632 scopus 로고    scopus 로고
    • An approximate linearized Riemann solver for a two-fluid model
    • Toumi I. Kumbaro A. An approximate linearized Riemann solver for a two-fluid model J. Comput. Phys. 124 1996 286-300
    • (1996) J. Comput. Phys. , vol.124 , pp. 286-300
    • Toumi, I.1    Kumbaro, A.2
  • 12
    • 0031572061 scopus 로고    scopus 로고
    • Modeling of two-phase flow with second-order accurate scheme
    • Tiselj I. Petelin S. Modeling of two-phase flow with second-order accurate scheme J. Comput. Phys. 136 1997 503-521
    • (1997) J. Comput. Phys. , vol.136 , pp. 503-521
    • Tiselj, I.1    Petelin, S.2
  • 13
    • 85190117151 scopus 로고    scopus 로고
    • A characteristics-based approach to the numerical solution of the two-fluid model
    • Proceedings of FEDSM03 4th ASME/JSME Joint Fluids engineering conference
    • R. Nourgaliev, N. Dinh, T. Theofanous, A characteristics-based approach to the numerical solution of the two-fluid model, in: Proceedings of FEDSM03 4th ASME/JSME Joint Fluids engineering conference, 2003
    • (2003)
    • Nourgaliev, R.1    Dinh, N.2    Theofanous, T.3
  • 15
    • 0021160364 scopus 로고
    • Hyperbolic two-pressure models for two-phase flow
    • Ransom V. Hicks D.L. Hyperbolic two-pressure models for two-phase flow J. Comput. Phys. 53 1984 124-151
    • (1984) J. Comput. Phys. , vol.53 , pp. 124-151
    • Ransom, V.1    Hicks, D.L.2
  • 16
    • 15744386292 scopus 로고    scopus 로고
    • Understanding the ill-posed two-fluid model
    • The 10th International Topical Meeting on Nuclear Reactor Thermal Hydraulics (NURETH-10)
    • T. Dinh, R. Nourgaliev, T. Theofanous, Understanding the ill-posed two-fluid model, in: The 10th International Topical Meeting on Nuclear Reactor Thermal Hydraulics (NURETH-10), 2003
    • (2003)
    • Dinh, T.1    Nourgaliev, R.2    Theofanous, T.3
  • 17
    • 0034251177 scopus 로고    scopus 로고
    • FLICA-4: A three-dimensional two-phase flow computer code with advanced numerical methods for nuclear applications
    • Toumi I. Bergeron A. Gallo D. Royer E. Caruge D. FLICA-4: a three-dimensional two-phase flow computer code with advanced numerical methods for nuclear applications Nucl. Eng. Design 200 2000 139-155
    • (2000) Nucl. Eng. Design , vol.200 , pp. 139-155
    • Toumi, I.1    Bergeron, A.2    Gallo, D.3    Royer, E.4    Caruge, D.5
  • 18
    • 4544271241 scopus 로고    scopus 로고
    • Implementation of a Newton-Krylov iterative method to address strong non-linear feedback effects in FORMOSA-B BWR core simulator
    • Ph.D. thesis, North Carolina State University
    • D. Kastanya, Implementation of a Newton-Krylov iterative method to address strong non-linear feedback effects in FORMOSA-B BWR core simulator, Ph.D. thesis, North Carolina State University, 2002
    • (2002)
    • Kastanya, D.1
  • 19
    • 33645199062 scopus 로고    scopus 로고
    • Implementation of a Newton-BICGSTAB solver to treat the strong non-linearity in the FORMOSA-B boiling water reactor core simulator code
    • American Nuclear Society
    • Kastanya D. Turinsky P. Implementation of a Newton-BICGSTAB solver to treat the strong non-linearity in the FORMOSA-B boiling water reactor core simulator code Nuclear Mathematical and Computational Sciences: A Century in Review, A Century Anew 2003 American Nuclear Society
    • (2003) Nuclear Mathematical and Computational Sciences: A Century in Review, A Century Anew
    • Kastanya, D.1    Turinsky, P.2
  • 21
    • 0141988567 scopus 로고    scopus 로고
    • Notes on the implementation of a fully-implicit numerical scheme for a two-phase three-field flow model
    • Frepoli C. Mahaffy J. Ohkawa K. Notes on the implementation of a fully-implicit numerical scheme for a two-phase three-field flow model Nucl. Eng. Design 225 2003 191-217
    • (2003) Nucl. Eng. Design , vol.225 , pp. 191-217
    • Frepoli, C.1    Mahaffy, J.2    Ohkawa, K.3
  • 22
    • 0348198275 scopus 로고    scopus 로고
    • Jacobian-free Newton-Krylov methods: A survey of approaches and applications
    • Knoll D. Keyes D. Jacobian-free Newton-Krylov methods: a survey of approaches and applications J. Comput. Phys. 193 2004 357-397
    • (2004) J. Comput. Phys. , vol.193 , pp. 357-397
    • Knoll, D.1    Keyes, D.2
  • 23
    • 0001651643 scopus 로고
    • Nonlinearly preconditioned Krylov subspace methods for discrete Newton algorithms
    • Chan T.F. Jackson K.R. Nonlinearly preconditioned Krylov subspace methods for discrete Newton algorithms SIAM J. Sci. Stat. Comput. 5 1984 533-542
    • (1984) SIAM J. Sci. Stat. Comput. , vol.5 , pp. 533-542
    • Chan, T.F.1    Jackson, K.R.2
  • 24
    • 0000977352 scopus 로고
    • Hybrid Krylov methods for nonlinear systems of equations
    • Brown P.N. Saad Y. Hybrid Krylov methods for nonlinear systems of equations SIAM J. Sci. Stat. Comput. 11 1990 450-481
    • (1990) SIAM J. Sci. Stat. Comput. , vol.11 , pp. 450-481
    • Brown, P.N.1    Saad, Y.2
  • 25
    • 0037336326 scopus 로고    scopus 로고
    • On balanced approximations for time integration of multiple time scale systems
    • Knoll D. Chacon L. Margolin L. Mousseau V. On balanced approximations for time integration of multiple time scale systems J. Comput. Phys. 185 2003 583-611
    • (2003) J. Comput. Phys. , vol.185 , pp. 583-611
    • Knoll, D.1    Chacon, L.2    Margolin, L.3    Mousseau, V.4
  • 27
    • 0036851843 scopus 로고    scopus 로고
    • An implicit nonlinearly consistent method for the two-dimensional shallow-water equations with Coriolis force
    • Mousseau V. Knoll D. Reisner J. An implicit nonlinearly consistent method for the two-dimensional shallow-water equations with Coriolis force Monthly Weather Rev. 130 2002 2611-2625
    • (2002) Monthly Weather Rev. , vol.130 , pp. 2611-2625
    • Mousseau, V.1    Knoll, D.2    Reisner, J.3
  • 28
    • 0036133041 scopus 로고    scopus 로고
    • A generic semi-implicit coupling methodology for use in RELAP5-3D
    • Weaver W. Tomlinson E. Aumiller D. A generic semi-implicit coupling methodology for use in RELAP5-3D Nucl. Eng. Design 211 2002 13-26
    • (2002) Nucl. Eng. Design , vol.211 , pp. 13-26
    • Weaver, W.1    Tomlinson, E.2    Aumiller, D.3
  • 29
    • 0034818233 scopus 로고    scopus 로고
    • A coupled RELAP-3D/CFD methodology with a proof-of-principle calculation
    • Aumiller D. Tomlinson E. Bauer R. A coupled RELAP-3D/CFD methodology with a proof-of-principle calculation Nucl. Eng. Design 205 2001 83-90
    • (2001) Nucl. Eng. Design , vol.205 , pp. 83-90
    • Aumiller, D.1    Tomlinson, E.2    Bauer, R.3
  • 31
    • 0003765311 scopus 로고    scopus 로고
    • PARCS: A multi-dimensional two-group reactor kinetics code based on the nonlinear analytic nodal method
    • Tech. Rep. PU/NE-98-26, Purdue University
    • H. Joo, D. Barber, G. Jiang, T. Downar, PARCS: A multi-dimensional two-group reactor kinetics code based on the nonlinear analytic nodal method, Tech. Rep. PU/NE-98-26, Purdue University, 1998
    • (1998)
    • Joo, H.1    Barber, D.2    Jiang, G.3    Downar, T.4
  • 33
    • 0000048673 scopus 로고
    • GMRES: A generalized minimal residual algorithm for solving non-symetric linear systems
    • Saad Y. Schultz M. GMRES: A generalized minimal residual algorithm for solving non-symetric linear systems SIAM J. Sci. and Stat. Comput. 7 1986 856
    • (1986) SIAM J. Sci. and Stat. Comput. , vol.7 , pp. 856
    • Saad, Y.1    Schultz, M.2
  • 34
    • 0022738825 scopus 로고
    • Matrix-Free methods for stiff systems of ODE's
    • Brown P. Hindmarsh A. Matrix-Free methods for stiff systems of ODE's SIAM J. Num. Anal. 23 1986 610-638
    • (1986) SIAM J. Num. Anal. , vol.23 , pp. 610-638
    • Brown, P.1    Hindmarsh, A.2
  • 35
    • 0028671361 scopus 로고
    • Comparison of standard and matrix-free implementations of several Newton-Krylov solvers
    • McHugh P. Knoll D. Comparison of standard and matrix-free implementations of several Newton-Krylov solvers AIAA J. 32 1994 2394-2400
    • (1994) AIAA J. , vol.32 , pp. 2394-2400
    • McHugh, P.1    Knoll, D.2


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