The scope of this Master Thesis is the two-fluid model. This study aims at analysing their ill-posedness, showinghow it is related to non-hyperbolicity and giving a measurement that I call the numerical hyperbolicity. As a cureto this important issue, we will propose a combination of physical and mathematical solutions. The physical forcesthat we will focus on are two interfacial forces: the interfacial pressure and the virtual mass. We will quantify theminimum correction that is necessary to ensure hyperbolicity of the two-fluid model. We will then compare the twoforces and combine them into an aggregated correction. This correction is proposed for use as a criteria in the nextgeneration of nuclear reactor thermal-hydraulics codes.
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Analysis of interfacial forces on the physics of two-phase flow and hyperbolicity of the two-fluid model