Application of Jacobian-free Newton–Krylov method in implicitly solving two-fluid six-equation two-phase flow problems: Implementation, validation and benchmark

Zou, Ling; Zhao, Haihua; Zhang, Hongbin

doi:10.1016/j.nucengdes.2016.01.033

Title: Application of Jacobian-free Newton–Krylov method in implicitly solving two-fluid six-equation two-phase flow problems: Implementation, validation and benchmark

Journal Article · Wed Mar 09 00:00:00 EST 2016 · Nuclear Engineering and Design

DOI:https://doi.org/10.1016/j.nucengdes.2016.01.033· OSTI ID:1303302

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

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

This work represents a first-of-its-kind successful application to employ advanced numerical methods in solving realistic two-phase flow problems with two-fluid six-equation two-phase flow model. These advanced numerical methods include high-resolution spatial discretization scheme with staggered grids (high-order) fully implicit time integration schemes, and Jacobian-free Newton–Krylov (JFNK) method as the nonlinear solver. The computer code developed in this work has been extensively validated with existing experimental flow boiling data in vertical pipes and rod bundles, which cover wide ranges of experimental conditions, such as pressure, inlet mass flux, wall heat flux and exit void fraction. Additional code-to-code benchmark with the RELAP5-3D code further verifies the correct code implementation. The combined methods employed in this work exhibit strong robustness in solving two-phase flow problems even when phase appearance (boiling) and realistic discrete flow regimes are considered. Transitional flow regimes used in existing system analysis codes, normally introduced to overcome numerical difficulty, were completely removed in this work. As a result, this in turn provides the possibility to utilize more sophisticated flow regime maps in the future to further improve simulation accuracy.

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

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC07-05ID14517

OSTI ID:: 1303302

Alternate ID(s):: OSTI ID: 1359682

Report Number(s):: INL/JOU-15-36898; PII: S0029549316000534

Journal Information:: Nuclear Engineering and Design, Vol. 300, Issue C; ISSN 0029-5493

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 24 works

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References (13)

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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
Implicitly solving phase appearance and disappearance problems using two-fluid six-equation model Zou, Ling; Zhao, Haihua; Zhang, Hongbin Progress in Nuclear Energy, Vol. 88 https://doi.org/10.1016/j.pnucene.2015.12.006	journal	April 2016
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
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 Computers & Fluids, Vol. 129 https://doi.org/10.1016/j.compfluid.2016.02.008	journal	April 2016

Cited By (1)

Development of temporal and spatial high-order schemes for two-fluid seven-equation two-pressure model and its applications in two-phase flow benchmark problems Chao, Fei; Liu, Dong; Shan, Jianqiang International Journal for Numerical Methods in Fluids, Vol. 88, Issue 4 https://doi.org/10.1002/fld.4515	journal	June 2018

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Title: Application of Jacobian-free Newton–Krylov method in implicitly solving two-fluid six-equation two-phase flow problems: Implementation, validation and benchmark

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