A new nodal solver for the two dimensional Lagrangian hydrodynamics

Corot, Théo; Mercier, Bertrand

doi:10.1016/j.jcp.2017.09.053

Cited by 6 publications

(1 citation statement)

References 22 publications

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“…To simulate this phase we use a one-dimensional Lagrangian model to solve the system of conservation laws for mass, momentum and energy. During this phase we shall show that, if we start from a liquid state, the coolant will stay in the liquid phase, so that we can use a stiffened gas equation of state (see Corot-Mercier [4]). Our purpose is to estimate the shock wave velocity and to estimate the (short) duration of this phase.…”

Section: Introductionmentioning

confidence: 99%

A simplified analysis of the Chernobyl accident

Mercier¹,

Yang

Zhuang

et al. 2021

EPJ Nuclear Sci. Technol.

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We show with simplified numerical models, that for the kind of RBMK operated in Chernobyl: The core was unstable due to its large size and to its weak power counter-reaction coefficient, so that the power of the reactor was not easy to control even with an automatic system. Xenon oscillations could easily be activated. When there was xenon poisoning in the upper half of the core, the safety rods were designed in such a way that, at least initially, they were increasing (and not decreasing) the core reactivity. This reactivity increase has been sufficient to lead to a very high pressure increase in a significant amount of liquid water in the fuel channels thus inducing a strong propagating shock wave leading to a failure of half the pressure tubes at their junction with the drum separators. The depressurization phase (flash evaporation) following this failure has produced, after one second, a significant decrease of the water density in half the pressure tubes and then a strong reactivity accident due to the positive void effect reactivity coefficient. We evaluate the fission energy released by the accident

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Section: Introductionmentioning

confidence: 99%