Notes on the implementation of a fully-implicit numerical scheme for a two-phase three-field flow model

Autor: Katsuhiro Ohkawa, Cesare Frepoli, John H. Mahaffy
Rok vydání: 2003
Předmět:
Zdroj: Nuclear Engineering and Design. 225:191-217
ISSN: 0029-5493
DOI: 10.1016/s0029-5493(03)00159-6
Popis: The development of a fully-implicit scheme to model the two-phase three-field flow and heat transfer problem is presented here. The model was originally developed to simulate the complex phenomena occurring in proximity of the quench front of a nuclear reactor core during the reflood phase of a postulated LOCA. The fully-implicit method allows relative large time steps to be used even on very fine spatial grids which can not be considered when a semi-implicit scheme is applied to solve the conservation equation. The objective of this paper is to capture as much as possible, the lessons learned during the development and coding of the fully-implicit two-phase three-field model. The implementation of the model is one of the most time consuming and a challenging task. The literature on numerical models generally concentrates on the theoretical aspects of the numerical method but available information on the problems encountered during the implementation of such methods for real applications is scarce. The reason is that many of these methods are tailored to specific applications and sometimes are rather empirical. These techniques are the result of a long and tedious trial and error process from the developer. The article presented here attempts to provide some insights and guidelines for future development of this or similar models.
Databáze: OpenAIRE