Simulation schemes of a non-miscible three-phase flow model for vapor explosion applications

This PhD work consists of modeling a three-phase flow: liquid (L), gas (V) for the same component (water) and liquid (S) for a second component (high temperature liquid metal). Such a mix is characterized by the risk of occurrence of vapour explosion, where major transfers happen: in this bi-component environment dynamic transfers are important (speed / pressure) and thermodynamic exchanges (heat and mass transfers) also are at stake. More specifically, heat transfers occur between phases S, L and V, while the mass transfer can only occur between the phases L and V. The vapour explosion type applications (EV) generate shock waves propagating within the medium and can impact the structures. Finally, it is essential to note that the actual simulation time, and different time scales are short. The mission is, therefore, to compute an EDP model with closure laws, capable of dealing with strongly unsteady three-phase non-miscible flows, with generation of shock waves and high thermal and mass transfer, and consistent with the second principle of thermodynamics. The second step is to propose a Finite Volume numerical method adapted to the approximation of this model, and in the presence of shock waves. Numerical test cases are given in order to verify the properties of the considered schemes, attention is paid to the consistency between the numerical results and the expected physical behavior of the simulated flow. (author)