Solving phase appearance/disappearance two-phase flow problems with high resolution staggered grid and fully implicit schemes by the Jacobian-free Newton–Krylov Method

Zou, Ling; Zhao, Haihua; Zhang, Hongbin

doi:10.1016/j.compfluid.2016.02.008

Title: Solving phase appearance/disappearance two-phase flow problems with high resolution staggered grid and fully implicit schemes by the Jacobian-free Newton–Krylov Method

Journal Article · Fri Apr 01 00:00:00 EDT 2016 · Computers and Fluids

DOI:https://doi.org/10.1016/j.compfluid.2016.02.008· OSTI ID:1358984

; Zhao, Haihua; Zhang, Hongbin

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Sponsoring Organization:: USDOE

Grant/Contract Number:: AC07-05ID14517

OSTI ID:: 1358984

Journal Information:: Computers and Fluids, Journal Name: Computers and Fluids Vol. 129 Journal Issue: C; ISSN 0045-7930

Publisher:: ElsevierCopyright Statement

Country of Publication:: United Kingdom

Language:: English

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Cited by: 16 works

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References (14)

A Fully Implicit Hybrid Solution Method for a Two-Phase Thermal-Hydraulic Model Mousseau, Vincent A. Journal of Heat Transfer, Vol. 127, Issue 5 https://doi.org/10.1115/1.1865223	journal	May 2005
A staggered conservative scheme for every Froude number in rapidly varied shallow water flows Stelling, G. S.; Duinmeijer, S. P. A. International Journal for Numerical Methods in Fluids, Vol. 43, Issue 12 https://doi.org/10.1002/fld.537	journal	January 2003
Numerical implementation, verification and validation of two-phase flow four-equation drift flux model with Jacobian-free Newton–Krylov method Zou, Ling; Zhao, Haihua; Zhang, Hongbin Annals of Nuclear Energy, Vol. 87 https://doi.org/10.1016/j.anucene.2015.07.033	journal	January 2016
Elimination of Numerical Pressure Spikes Induced by Two-Fluid Model Abe, Yutaka; Akimoto, Hajirne; Kamo, Hideki Journal of Nuclear Science and Technology, Vol. 30, Issue 12 https://doi.org/10.1080/18811248.1993.9734615	journal	December 1993
Accurate Solution of the Nonlinear Partial Differential Equations from Thermal Hydraulics: Thermal Hydraulics Mousseau, Vincent A. Nuclear Technology, Vol. 158, Issue 1 https://doi.org/10.13182/NT07-A3822	journal	April 2007
Applications of high-resolution spatial discretization scheme and Jacobian-free Newton–Krylov method in two-phase flow problems Zou, Ling; Zhao, Haihua; Zhang, Hongbin Annals of Nuclear Energy, Vol. 83 https://doi.org/10.1016/j.anucene.2015.04.016	journal	September 2015
Phase Appearance or Disappearance in Two-Phase Flows Cordier, Floraine; Degond, Pierre; Kumbaro, Anela Journal of Scientific Computing, Vol. 58, Issue 1 https://doi.org/10.1007/s10915-013-9725-9	journal	May 2013
Jacobian-free Newton–Krylov methods: a survey of approaches and applications Knoll, D. A.; Keyes, D. E. Journal of Computational Physics, Vol. 193, Issue 2 https://doi.org/10.1016/j.jcp.2003.08.010	journal	January 2004
Implicitly balanced solution of the two-phase flow equations coupled to nonlinear heat conduction Mousseau, V. A. Journal of Computational Physics, Vol. 200, Issue 1 https://doi.org/10.1016/j.jcp.2004.03.009	journal	October 2004
On the extension of the AUSM+ scheme to compressible two-fluid models Paillère, H.; Corre, C.; Garcı́a Cascales, J. R. Computers & Fluids, Vol. 32, Issue 6 https://doi.org/10.1016/S0045-7930(02)00021-X	journal	July 2003
The physical closure laws in the CATHARE code Bestion, D. Nuclear Engineering and Design, Vol. 124, Issue 3 https://doi.org/10.1016/0029-5493(90)90294-8	journal	December 1990
A Jacobian-free Newton-Krylov method for thermalhydraulics simulations: A JFNK METHOD FOR THERMALHYDRAULICS SIMULATIONS Ashrafizadeh, A.; Devaud, C. B.; Aydemir, N. U. International Journal for Numerical Methods in Fluids, Vol. 77, Issue 10 https://doi.org/10.1002/fld.3999	journal	January 2015
Notes on the implementation of a fully-implicit numerical scheme for a two-phase three-field flow model Frepoli, Cesare; Mahaffy, John H.; Ohkawa, Katsuhiro Nuclear Engineering and Design, Vol. 225, Issue 2-3 https://doi.org/10.1016/S0029-5493(03)00159-6	journal	November 2003
A Numerical Method Using Upwind Schemes for the Resolution of Two-Phase Flows Coquel, F.; El Amine, K.; Godlewski, E. Journal of Computational Physics, Vol. 136, Issue 2 https://doi.org/10.1006/jcph.1997.5730	journal	September 1997

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