An Advanced One-Dimensional Finite Element Model for Incompressible Thermally Expandable Flow

Hu, Rui

doi:10.13182/NT14-78

Title: An Advanced One-Dimensional Finite Element Model for Incompressible Thermally Expandable Flow

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Abstract

Here, this paper provides an overview of a new one-dimensional finite element flow model for incompressible but thermally expandable flow. The flow model was developed for use in system analysis tools for whole-plant safety analysis of sodium fast reactors. Although the pressure-based formulation was implemented, the use of integral equations in the conservative form ensured the conservation laws of the fluid. A stabilization scheme based on streamline-upwind/Petrov-Galerkin and pressure-stabilizing/Petrov-Galerkin formulations is also introduced. The flow model and its implementation have been verified by many test problems, including density wave propagation, steep gradient problems, discharging between tanks, and the conjugate heat transfer in a heat exchanger.

Authors:

Hu, Rui ^[1]

Argonne National Lab. (ANL), Argonne, IL (United States)

Publication Date:: Mon Mar 27 00:00:00 EDT 2017

Research Org.:: Argonne National Lab. (ANL), Argonne, IL (United States)

Sponsoring Org.:: USDOE Office of Nuclear Energy (NE); USDOE Office of Science (SC)

OSTI Identifier:: 1429360

Grant/Contract Number:: AC02-06CH11357

Resource Type:: Accepted Manuscript

Journal Name:: Nuclear Technology

Additional Journal Information:: Journal Volume: 190; Journal Issue: 3; Journal ID: ISSN 0029-5450

Publisher:: Taylor & Francis - formerly American Nuclear Society (ANS)

Country of Publication:: United States

Language:: English

Subject:: 42 ENGINEERING; Finite-element; stabilization; high-order; system thermal-hydraulics

Citation Formats


                    Hu, Rui. An Advanced One-Dimensional Finite Element Model for Incompressible Thermally Expandable Flow.  United States: N. p., 2017. 
Web.  doi:10.13182/NT14-78.

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                    Hu, Rui. An Advanced One-Dimensional Finite Element Model for Incompressible Thermally Expandable Flow.  United States.  https://doi.org/10.13182/NT14-78

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                    Hu, Rui. Mon .  
"An Advanced One-Dimensional Finite Element Model for Incompressible Thermally Expandable Flow".  United States.  https://doi.org/10.13182/NT14-78.  https://www.osti.gov/servlets/purl/1429360.

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@article{osti_1429360,

  title        = {An Advanced One-Dimensional Finite Element Model for Incompressible Thermally Expandable Flow},

  author       = {Hu, Rui},

  abstractNote = {Here, this paper provides an overview of a new one-dimensional finite element flow model for incompressible but thermally expandable flow. The flow model was developed for use in system analysis tools for whole-plant safety analysis of sodium fast reactors. Although the pressure-based formulation was implemented, the use of integral equations in the conservative form ensured the conservation laws of the fluid. A stabilization scheme based on streamline-upwind/Petrov-Galerkin and pressure-stabilizing/Petrov-Galerkin formulations is also introduced. The flow model and its implementation have been verified by many test problems, including density wave propagation, steep gradient problems, discharging between tanks, and the conjugate heat transfer in a heat exchanger.},

  doi          = {10.13182/NT14-78},

  journal      = {Nuclear Technology},

  number       = 3,

  volume       = 190,

  place        = {United States},

  year         = {Mon Mar 27 00:00:00 EDT 2017},

  month        = {Mon Mar 27 00:00:00 EDT 2017}

}

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