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In the present work we investigate the numerical simulation of liquid-vapor phase change
in compressible flows. Each phase is modeled as a compressible fluid equipped with its own
equation of state (EOS). We suppose that inter-phase equilibrium processes in the medium
operate at a short time-scale compared to the other physical phenomena such as convection
or thermal diffusion. This assumption provides an implicit definition of an equilibrium
EOS...
In the present work we investigate the numerical simulation of liquid-vapor phase change
in compressible flows. Each phase is modeled as a compressible fluid equipped with its own
equation of state (EOS). We suppose that inter-phase equilibrium processes in the medium
operate at a short time-scale compared to the other physical phenomena such as convection
or thermal diffusion. This assumption provides an implicit definition of an equilibrium
EOS...
In this paper, we are interested in modelling the flow of the coolant (water) in a nuclear reactor core. To this end, we use a monodimensional low Mach number model supplemented with the stiffened gas law. We take into account potential phase transitions by a single equation of state which describes both pure and mixture phases. In some particular cases, we give analytical steady and/or unsteady solutions which provide qualitative information about the flow. In the second part of the paper, we introduce...
We build a non-dissipative second order algorithm for the approximate resolution of the
one-dimensional Euler system of compressible gas dynamics with two components. The
considered model was proposed in [1]. The algorithm is based on [8] which deals with a
non-dissipative first order resolution in Lagrange-remap formalism. In the present paper
we describe, in the same framework, an algorithm that is second order accurate in time and
space, and that...
FreeFem++ [11] is a software for the numerical solution of partial differential
equations. It is based on finite element method. The FreeFem++ platform aims at
facilitating teaching and basic research through prototyping. For the moment this platform
is restricted to the numerical simulations of problems which admit a variational
formulation. Our goal in this work is to evaluate the FreeFem++ tool on basic magnetic
equations arising in Fusion Plasma...
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