A solver for the two-phase two-fluid model based on high-resolution total variation diminishing scheme

Rabie A. Abu Saleem, Tomasz Kozlowski, Rijan Shrestha

Research output: Contribution to journalArticle

Abstract

Finite volume techniques with staggered mesh are used to develop a new numerical solver for the one-dimensional two-phase two-fluid model using a high-resolution, Total Variation Diminishing (TVD) scheme. The solver is implemented to analyze numerical benchmark problems for verification and testing its abilities to handle discontinuities and fast transients with phase change. Convergence rates are investigated by comparing numerical results to analytical solutions available in literature for the case of the faucet flow problem. The solver based on a new TVD scheme is shown to exhibit higher-order of accuracy compared to other numerical schemes. Mass errors are also examined when phase change occurs for the shock tube problem, and compared to those of the 1st-order upwind scheme implemented in the nuclear thermal-hydraulics code TRACE. The solver is shown to exhibit numerical stability when applied to problems with discontinuous solutions and results of the new solver are free of spurious oscillations.

Original languageEnglish (US)
Pages (from-to)255-263
Number of pages9
JournalNuclear Engineering and Design
Volume301
DOIs
StatePublished - May 1 2016

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Ability testing
TVD schemes
two fluid models
Shock tubes
Convergence of numerical methods
discontinuity
oscillation
Hydraulics
hydraulics
numerical stability
Fluids
fluid
high resolution
shock tubes
mesh
oscillations
Hot Temperature
code
rate

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Nuclear Energy and Engineering
  • Materials Science(all)
  • Safety, Risk, Reliability and Quality
  • Waste Management and Disposal
  • Mechanical Engineering

Cite this

A solver for the two-phase two-fluid model based on high-resolution total variation diminishing scheme. / Abu Saleem, Rabie A.; Kozlowski, Tomasz; Shrestha, Rijan.

In: Nuclear Engineering and Design, Vol. 301, 01.05.2016, p. 255-263.

Research output: Contribution to journalArticle

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