We show that it is possible to construct a class of entropic schemes for the multicomponent Euler system describing a gas or fluid homogeneous mixture at thermodynamic equilibrium by applying a relaxation technique. A first order Chapman–Enskog expansion shows that the relaxed system formally converges when the relaxation frequencies go to the infinity toward a multicomponent Navier–Stokes system with the classical Fick and Newton laws, with a thermal diffusion which can be assimilated to a Soret...
We propose a Diphasic Low Mach Number (DLMN) system for the modelling of diphasic flows without phase change at low Mach number, system which is an extension of the system proposed by Majda in [Center of Pure and Applied Mathematics, Berkeley, report No. 112] and [Combust. Sci. Tech. 42 (1985) 185–205] for low Mach number combustion problems. This system is written for a priori any equations of state. Under minimal thermodynamic hypothesis which are satisfied by a large class of generalized van...
We show that it is possible to construct a class of entropic
schemes for the multicomponent Euler system describing a gas or fluid
homogeneous mixture at thermodynamic equilibrium by applying a relaxation technique. A
first order Chapman–Enskog expansion shows that the relaxed system
formally converges when the relaxation frequencies go to the infinity
toward a multicomponent Navier–Stokes system with the classical Fick and
Newton laws, with a thermal diffusion which can be assimilated to a Soret...
We propose a Diphasic Low Mach Number (DLMN) system for the modelling of diphasic flows without phase change at low Mach number, system which is an extension of the system proposed by Majda in [Center of Pure and Applied Mathematics, Berkeley, report No. 112] and [
(1985) 185–205] for low Mach number combustion problems. This system is written for any equations of state. Under minimal thermodynamic hypothesis which are satisfied by a large class of generalized van der Waals equations...
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 propose to formally derive a low Mach number model adapted to the modeling of a water
nuclear core ( of PWR- or BWR-type) in the forced convection regime
or in the natural convection regime by filtering out the acoustic waves in the
compressible Navier-Stokes system. Then, we propose a monodimensional stationary
analytical solution with regular and singular charge loss when the equation of state is a
stiffened gas equation. Moreover, we show that...
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