I. Toumi et al., FLICA-4: a three-dimensional two-phase flow computer code with advanced numerical methods for nuclear applications, NUCL ENG DE, 200(1-2), 2000, pp. 139-155
This paper is devoted to new numerical methods developed for three-dimensio
nal two-phase flow calculations. These methods are finite volume numerical
methods. They are based on an extension of Roe's approximate Riemann solver
to define convective fluxes Versus mean cell quantities [Godunov, S.K., 19
59, Math. Sb. 47, 217; Roe, P.L., 1981, Approximate Riemanns solvers parame
ter vectors and difference scheme. J. Comp. Phys. 43, 357-372; Toumi, I., 1
992, A weak formulation of Roe's approximate Riemann solver. J. Comp. Phys.
102, 360-373]. To go forward in time, a linearized conservative implicit i
ntegrating step is used [Yee, H.C., 1987. NASA TM-89464], together with a N
ewton iterative method. We also present here some improvements performed to
obtain a fully implicit solution method that provides fast running steady
state calculations. This kind of numerical method, which is used widely for
fluid dynamic calculations, has proved to be very efficient for the numeri
cal solution to two-phase flow problems. This numerical method has been imp
lemented for the three-dimensional thermal-hydraulic code FLICA-4 that is m
ainly dedicated to core thermal-hydraulic transient and steady-state analys
is [Toumi, I., Caruge, D., 1998. An implicit second order method for 3D two
phase flow calculations. Nucl. Sci. Eng. 130, 213-225; Raymond, P., Toumi,
I., 1992. Numerical method for three-dimensional steady-state two-phase fl
ow calculation, NURETH-5, Salt Lake City]. Hereafter, elements of physical
validation against hydraulic and two-phase flow rod bundle experiments are
presented. We will also find some results obtained for the EPR reactor runn
ing in a steady-state at 60% of nominal power with three pumps out of four,
and a thermal-hydraulic core analysis for a 1300 MW PWR at low flow Steam-
Line-Break conditions. (C) 2000 Elsevier Science S.A. All rights reserved.