Factorized implicit solution technique for calculation of flow in reactor components

Conference · Thu Jan 01 04:00:00 EST 1987 · Trans. Am. Nucl. Soc.; (United States)

OSTI ID:6942241

Sargis, D A; Chilukuri, R; Stuhmiller, J H

A factorized implicit finite difference scheme (FIST) for solving the three-dimensional, time-dependent Navier-Stokes equations is presented in this paper. The overall solution strategy and treatment of interequation coupling is similar to the well-known implicit continuous fluid Eulerian (ICE) and SMAC procedures. However, several features of the implicit FIST algorithm enable use of large time steps in contrast to the ICE scheme. The FIST method of integrating the momentum equations is best described as an extension of the Peaceman-Rachford alternating direction implicit (ADI) scheme. The Peaceman-Rachford ADI scheme was developed for the unsteady heat (diffusion) equation. The innovative feature of the FIST algorithm lies in implicit treatment of both advection and diffusion terms. The FIST scheme is an efficient of integrating the unsteady Navier-Stokes equations. The advantage of the FIST algorithm over fully implicit schemes is that FIST requires simultaneous solution of only simple-line tridiagonal matrix equations. Fully implicit algorithms, on the other hand, generally require solution of a large system of coupled algebraic equations at each time step.

• OSTI ID: 6942241
• Report Number(s): CONF-8711195-
• Conference Information: Journal Name: Trans. Am. Nucl. Soc.; (United States) Journal Volume: 55
• Country of Publication: United States
• Language: English

Related Subjects

22 GENERAL STUDIES OF NUCLEAR REACTORS
220100* -- Nuclear Reactor Technology-- Theory & Calculation
42 ENGINEERING
420400 -- Engineering-- Heat Transfer & Fluid Flow
ACCURACY
ALGORITHMS
DIFFERENTIAL EQUATIONS
ENERGY TRANSFER
EQUATIONS
FLUID MECHANICS
HEAT TRANSFER
HYDRAULICS
KINETICS
MATHEMATICAL LOGIC
MECHANICS
NAVIER-STOKES EQUATIONS
PARTIAL DIFFERENTIAL EQUATIONS
REACTOR KINETICS
THREE-DIMENSIONAL CALCULATIONS
TIME DEPENDENCE