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Multiphase Science and Technology

年間 4 号発行

ISSN 印刷: 0276-1459

ISSN オンライン: 1943-6181

SJR: 0.144 SNIP: 0.256 CiteScore™:: 1.1 H-Index: 24

Indexed in

NUMERICAL SCHEME OF THE WAHA CODE

巻 20, 発行 3-4, 2008, pp. 323-354
DOI: 10.1615/MultScienTechn.v20.i3-4.50
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要約

This paper describes the numerical scheme used in the WAHA code that was developed within the WAHALoads project for simulations of fast transients in 1D piping systems. Two-fluid model equations described in a companion paper entitled "Two-Fluid Model of the WAHA Code for Simulations of Water Hammer Transients," are solved with an operator splitting procedure: The nonconservative characteristic upwind scheme is used to solve the hyperbolic part of the equations with the nonrelaxation source terms, while the relaxation source terms are treated in the second step of the operator splitting procedure. Water properties are calculated with a newly developed set of subroutines that use pretabulated water properties. Special models that were developed for treatment of the abrupt area changes and branches in the piping systems are described. Various test cases, which were used to test the accuracy of the basic numerical scheme and the accompanying numerical models, are described and discussed together with the typical results of simulations.

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  1. De Lorenzo M., Lafon Ph., Di Matteo M., Pelanti M., Seynhaeve J.-M., Bartosiewicz Y., Homogeneous two-phase flow models and accurate steam-water table look-up method for fast transient simulations, International Journal of Multiphase Flow, 95, 2017. Crossref

  2. Li Wei, Wu Xiaoli, Shirvan Koroush, Su Guanghui, An investigation of numerical performance enhancement of RELAP5: Numerical stability, higher resolution and an alternative constitutive relation, Nuclear Engineering and Design, 328, 2018. Crossref

  3. Daude F., Galon P., A Finite-Volume approach for compressible single- and two-phase flows in flexible pipelines with fluid-structure interaction, Journal of Computational Physics, 362, 2018. Crossref

  4. Datta Priyankan, Chakravarty Aranyak, Ghosh Koushik, Mukhopadhyay Achintya, Sen Swarnendu, Dutta Anu, Goyal Priyanshu, Thangamani I., Modeling and analysis of condensation induced water hammer, Numerical Heat Transfer, Part A: Applications, 74, 2, 2018. Crossref

  5. Chao Fei, Liu Dong, Shan Jianqiang, Gou Junli, Wu Pan, 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, International Journal for Numerical Methods in Fluids, 88, 4, 2018. Crossref

  6. Daude F., Berry R.A., Galon P., A Finite-Volume method for compressible non-equilibrium two-phase flows in networks of elastic pipelines using the Baer–Nunziato model, Computer Methods in Applied Mechanics and Engineering, 354, 2019. Crossref

  7. Fang Yu, De Lorenzo Marco, Lafon Philippe, Poncet Sébastien, Bartosiewicz Yann, An Accurate and Efficient Look-up Table Equation of State for Two-Phase Compressible Flow Simulations of Carbon Dioxide, Industrial & Engineering Chemistry Research, 57, 22, 2018. Crossref

  8. Pelanti Marica, Arbitrary-rate relaxation techniques for the numerical modeling of compressible two-phase flows with heat and mass transfer, International Journal of Multiphase Flow, 153, 2022. Crossref

  9. De Lorenzo M., Lafon Ph., Pelanti M., Pantano A., Di Matteo M., Bartosiewicz Y., Seynhaeve J.-M., A hyperbolic phase-transition model coupled to tabulated EoS for two-phase flows in fast depressurizations, Nuclear Engineering and Design, 371, 2021. Crossref

  10. Daude F., Galon P., Simulations of single- and two-phase shock tubes across abrupt changes of area and branched junctions, Nuclear Engineering and Design, 365, 2020. Crossref

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