Review of multi-physics temporal coupling methods for analysis of nuclear reactors

Omar Zerkak, Tomasz Kozlowski, Ivan Gajev

Research output: Contribution to journalArticlepeer-review


The advanced numerical simulation of a realistic physical system typically involves multi-physics problem. For example, analysis of a LWR core involves the intricate simulation of neutron production and transport, heat transfer throughout the structures of the system and the flowing, possibly two-phase, coolant. Such analysis involves the dynamic coupling of multiple simulation codes, each one devoted to the solving of one of the coupled physics. Multiple temporal coupling methods exist, yet the accuracy of such coupling is generally driven by the least accurate numerical scheme. The goal of this paper is to review in detail the approaches and numerical methods that can be used for the multi-physics temporal coupling, including a comprehensive discussion of the issues associated with the temporal coupling, and define approaches that can be used to perform multi-physics analysis. The paper is not limited to any particular multi-physics process or situation, but is intended to provide a generic description of multi-physics temporal coupling schemes for any development stage of the individual (single-physics) tools and methods. This includes a wide spectrum of situation, where the individual (single-physics) solvers are based on pre-existing computation codes embedded as individual components, or a new development where the temporal coupling can be developed and implemented as a part of code development. The discussed coupling methods are demonstrated in the framework of LWR core analysis.

Original languageEnglish (US)
Pages (from-to)225-233
Number of pages9
JournalAnnals of Nuclear Energy
StatePublished - Jul 28 2015


  • Approximate Block Newton
  • Jacobian Free Newton-Krylov
  • Multi-physics
  • Operator Splitting
  • Review
  • Temporal coupling

ASJC Scopus subject areas

  • Nuclear Energy and Engineering


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