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

doi:10.1016/j.anucene.2015.07.033

Numerical implementation, verification and validation of two-phase flow four-equation drift flux model with Jacobian-free Newton–Krylov method

Journal Article · Wed Aug 24 00:00:00 EDT 2016 · Annals of Nuclear Energy (Oxford)

DOI:https://doi.org/10.1016/j.anucene.2015.07.033· OSTI ID:1303303

Zou, Ling ^[1]; Zhao, Haihua ^[1]; Zhang, Hongbin ^[1]

Idaho National Lab. (INL), Idaho Falls, ID (United States)

This study presents a numerical investigation on using the Jacobian-free Newton–Krylov (JFNK) method to solve the two-phase flow four-equation drift flux model with realistic constitutive correlations (‘closure models’). The drift flux model is based on Isshi and his collaborators’ work. Additional constitutive correlations for vertical channel flow, such as two-phase flow pressure drop, flow regime map, wall boiling and interfacial heat transfer models, were taken from the RELAP5-3D Code Manual and included to complete the model. The staggered grid finite volume method and fully implicit backward Euler method was used for the spatial discretization and time integration schemes, respectively. The Jacobian-free Newton–Krylov method shows no difficulty in solving the two-phase flow drift flux model with a discrete flow regime map. In addition to the Jacobian-free approach, the preconditioning matrix is obtained by using the default finite differencing method provided in the PETSc package, and consequently the labor-intensive implementation of complex analytical Jacobian matrix is avoided. Extensive and successful numerical verification and validation have been performed to prove the correct implementation of the models and methods. Code-to-code comparison with RELAP5-3D has further demonstrated the successful implementation of the drift flux model.

View Accepted Manuscript (DOE)

Research Organization:: Idaho National Laboratory, Idaho Falls, ID (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC07-05ID14517

OSTI ID:: 1303303

Alternate ID(s):: OSTI ID: 22553927
OSTI ID: 1396942

Report Number(s):: INL/JOU--15-35253; PII: S0306454915003977

Journal Information:: Annals of Nuclear Energy (Oxford), Journal Name: Annals of Nuclear Energy (Oxford) Journal Issue: P2 Vol. 87; ISSN 0306-4549

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

References (18)

Subchannel analysis in BWR fuel bundles Khan, H. J.; Yi, H. C. Annals of Nuclear Energy, Vol. 12, Issue 10 https://doi.org/10.1016/0306-4549(85)90029-5	journal	January 1985
One-dimensional drift-flux model and constitutive equations for relative motion between phases in various two-phase flow regimes Hibiki, Takashi; Ishii, Mamoru International Journal of Heat and Mass Transfer, Vol. 46, Issue 25 https://doi.org/10.1016/S0017-9310(03)00322-3	journal	December 2003
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
Benchmarking a sub-channel program based on a drift-flux model with 8×8 NUPEC BWR rod bundle Hashemi-Tilehnoee, M.; Rahgoshay, M. Annals of Nuclear Energy, Vol. 58 https://doi.org/10.1016/j.anucene.2013.03.005	journal	August 2013
Sub-channel analysis of 8×8 and 9×9 BWR fuel assemblies with different two-phase flow models Hashemi-Tilehnoee, M.; Rahgoshay, M. Annals of Nuclear Energy, Vol. 62 https://doi.org/10.1016/j.anucene.2013.06.024	journal	December 2013
Physics-based multiscale coupling for full core nuclear reactor simulation Gaston, Derek R.; Permann, Cody J.; Peterson, John W. Annals of Nuclear Energy, Vol. 84 https://doi.org/10.1016/j.anucene.2014.09.060	journal	October 2015
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
Erratum to: “One-dimensional drift-flux model and constitutive equations for relative motion between phases in various two-phase flow regimes” [International Journal of Heat and Mass Transfer 46 (2003) 4935–4948] Hibiki, T.; Ishii, M. International Journal of Heat and Mass Transfer, Vol. 48, Issue 6 https://doi.org/10.1016/j.ijheatmasstransfer.2004.12.001	journal	March 2005
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
Study on the stability behaviour of two-phase natural circulation systems using a four-equation drift flux model Nayak, A. K.; Dubey, P.; Chavan, D. N. Nuclear Engineering and Design, Vol. 237, Issue 4 https://doi.org/10.1016/j.nucengdes.2006.05.009	journal	February 2007
Numerical study of nuclear coupled two-phase flow instability in natural circulation system under low pressure and low quality Wang, Jianhua; Sun, Yuliang; Wang, Jianjun Nuclear Engineering and Design, Vol. 241, Issue 12 https://doi.org/10.1016/j.nucengdes.2011.08.074	journal	December 2011
A numerical technique for analysis of transient two-phase flow in a vertical tube using the Drift Flux Model Talebi, S.; Kazeminejad, H.; Davilu, H. Nuclear Engineering and Design, Vol. 242 https://doi.org/10.1016/j.nucengdes.2011.10.038	journal	January 2012
Development and assessment of system analysis code, TASS/SMR for integral reactor, SMART Chung, Y. J.; Jun, I. S.; Kim, S. H. Nuclear Engineering and Design, Vol. 244 https://doi.org/10.1016/j.nucengdes.2011.12.013	journal	March 2012
Applicability of TASS/SMR using drift flux model for SMART LOCA analysis Chung, Young-Jong; Kim, Soo Hyung; Lee, Gyu Hyeung Nuclear Engineering and Design, Vol. 262 https://doi.org/10.1016/j.nucengdes.2013.04.020	journal	September 2013
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
Void Fractions in Subcooled Flow Boiling Larsen, P. S.; Tong, L. S. Journal of Heat Transfer, Vol. 91, Issue 4 https://doi.org/10.1115/1.3580229	journal	November 1969
Average Volumetric Concentration in Two-Phase Flow Systems Zuber, N.; Findlay, J. A. Journal of Heat Transfer, Vol. 87, Issue 4 https://doi.org/10.1115/1.3689137	journal	November 1965

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High-order fully implicit SIMPLE-based model for fully implicit simulation of upward two-phase flow Hajizadeh, A.; Kazeminejad, H.; Talebi, S. Nuclear Science and Techniques, Vol. 29, Issue 8 https://doi.org/10.1007/s41365-018-0456-3	journal	July 2018

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Numerical implementation, verification and validation of two-phase flow four-equation drift flux model with Jacobian-free Newton–Krylov method

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