Abstract
This chapter explains the numerical solution of Poisson-like equations, formally identical with a Poisson equation but with space- and time-dependent coefficients. In the frame of safety analysis of fast breeder reactors, two examples of constructing Poisson-like equations are worked out in all details for the pressure distribution in a fluid flow and for the enthalpy distribution in a heated fluid. Numerical solutions of Poisson-like equations are explained with the classical variant of the ADI (Alternating Directions Implicit) and with advanced variants for two- and three-dimensional problems. A novel algorithm applicable to two-phase flow calculations is explained. Synopsis of two computer codes used over the years for nuclear safety analysis in Germany (BACCUS-3D/TP) and in the USA (COMMIX-2) is given.
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Bottoni, M. (2022). Derivation and Numerical Solutions of Poisson-Like Equations. In: Physical Modeling and Computational Techniques for Thermal and Fluid-dynamics. Mechanical Engineering Series. Springer, Cham. https://doi.org/10.1007/978-3-030-79717-1_7
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DOI: https://doi.org/10.1007/978-3-030-79717-1_7
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