Implicit time-integration method for simultaneous solution of a coupled non-linear system

Justin K. Watson, Kostadin N. Ivanov

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Historically large physical problems have been divided into smaller problems based on the physics involved. This is no different in reactor safety analysis. The problem of analyzing a nuclear reactor for design basis accidents is performed by a handful of computer codes each solving a portion of the problem. Traditionally each of these codes operates independently from each other using only the global results from one calculation as boundary conditions to another. Industry's drive to uprate power for reactors has motivated analysts to move from a conservative approach to design basis accident towards a best estimate method. To achieve a best estimate calculation efforts have been aimed at coupling the individual physics models to improve the accuracy of the analysis and reduce margins. The current coupling techniques are sequential in nature. During a calculation time-step data is passed between the two codes. The individual codes solve their portion of the calculation and converge to a solution before the calculation is allowed to proceed to the next time-step. This paper presents a fully implicit method of solving the neutron balance equations, heat conduction equations and the constitutive fluid dynamics equations. The paper discusses the problems involved in coupling different physics phenomena within multi-physics codes and presents a solution to these problems. The paper also outlines the basic concepts behind the nodal balance equations, heat transfer equations and the thermal hydraulic equations, which are coupled to form a fully implicit nonlinear system of equations.

Original languageEnglish (US)
Title of host publicationInternational Conference on the Physics of Reactors 2010, PHYSOR 2010
Pages2531-2542
Number of pages12
StatePublished - Dec 1 2010
EventInternational Conference on the Physics of Reactors 2010, PHYSOR 2010 - Pittsburgh, PA, United States
Duration: May 9 2010May 14 2010

Publication series

NameInternational Conference on the Physics of Reactors 2010, PHYSOR 2010
Volume3

Other

OtherInternational Conference on the Physics of Reactors 2010, PHYSOR 2010
CountryUnited States
CityPittsburgh, PA
Period5/9/105/14/10

All Science Journal Classification (ASJC) codes

  • Nuclear Energy and Engineering
  • Nuclear and High Energy Physics

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  • Cite this

    Watson, J. K., & Ivanov, K. N. (2010). Implicit time-integration method for simultaneous solution of a coupled non-linear system. In International Conference on the Physics of Reactors 2010, PHYSOR 2010 (pp. 2531-2542). (International Conference on the Physics of Reactors 2010, PHYSOR 2010; Vol. 3).