Application of the reactor system code RELAP-7 to single-and two-phase flow water-hammer problems

Marc O. Delchini, Jean C. Ragusa, Ray A. Berry, David Andrs, Richard Martineau

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The primary basis of the RELAP-7 [1] governing theory includes the single-phase Euler equations and the 7-equation two-phase flow models. It is well established that these hyperbolic conservation laws can develop shocks and discontinuities and thus, require a stabilization numerical method. The all-Mach flow Entropy Viscosity Method is now employed in RELAP-7 as a stabilization numerical method for both above flow models. The entropy viscosity technique is a viscous regularization technique: adequate dissipation terms (viscous fluxes) are added to the governing laws while ensuring the entropy minimum principle still holds. Viscosity coefficients modulates the magnitude of the added dissipation such that it is large in shock regions and vanishingly small elsewhere. The stabilization capabilities of the Entropy Viscosity Method are demonstrated in the system code RELAP-7 by simulating a 1-D single and two-phase water-hammers.

Original languageEnglish
Title of host publicationMathematics and Computations, Supercomputing in Nuclear Applications and Monte Carlo International Conference, M and C+SNA+MC 2015
PublisherAmerican Nuclear Society
Pages1267-1278
Number of pages12
ISBN (Electronic)9781510808041
StatePublished - 2015
Externally publishedYes
EventMathematics and Computations, Supercomputing in Nuclear Applications and Monte Carlo International Conference, M and C+SNA+MC 2015 - Nashville, United States
Duration: Apr 19 2015Apr 23 2015

Publication series

NameMathematics and Computations, Supercomputing in Nuclear Applications and Monte Carlo International Conference, M and C+SNA+MC 2015
Volume2

Conference

ConferenceMathematics and Computations, Supercomputing in Nuclear Applications and Monte Carlo International Conference, M and C+SNA+MC 2015
Country/TerritoryUnited States
CityNashville
Period04/19/1504/23/15

Keywords

  • Entropy viscosity method
  • Low-Mach flow
  • Numerical method
  • RELAP-7
  • Shocks
  • Single phase flow
  • Two-phase flow

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