Application a hybrid solver to gas flow through a slit at arbitrary pressure ratio

Rovenskaya, O. I.; Croce, Giulio

doi:10.1016/j.vacuum.2014.04.018

Cited by 8 publications

(7 citation statements)

References 19 publications

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“…The kinetic solver is activated when Kn GL is larger than the threshold value Ξ. As shown in [4,5], a threshold value Ξ = 0.1 already guaranteed a difference between hybrid and kinetic solutions within 1%. The condition Kn GL (x) ≥ Ξ identifies the kinetic domain Ω K , where the S-model kinetic equation [15] is solved :…”

Section: Hybrid Methodsmentioning

confidence: 99%

“…The choice of breakdown criterion and its threshold value, defining the size and position of kinetic domains, is important: an underestimated kinetic domain leads to incorrect numerical results [4,5], an overestimated one reduces the advantage in computational efficiency. The most robust and popular criterion is a local, gradient-length Knudsen number Kn GL (x) [3][4][5]:…”

Section: Hybrid Methodsmentioning

confidence: 99%

“…Since the flow is two-dimensional it is possible to eliminate the third velocity component in a model equation [4,15]. The S-model equation is discretized in both velocity and physical spaces and solved using the explicit-implicit numerical scheme [4,15]. The transport term in equation 15is treated explicitly and approximated by a standard finite volume scheme.…”

Section: S(ρ C T) and M(ρ C T) Are The Standard Local Shakhov Andmentioning

confidence: 99%

“…Navier-Stokes solver is based on a hybrid finite differencefinite volume method with second order accuracy in space and time [4,17]. The solution is advanced in time via Crank Nicolson integration scheme.…”

Section: S(ρ C T) and M(ρ C T) Are The Standard Local Shakhov Andmentioning

confidence: 99%

“…Such a hybrid scheme, using a dynamically updated decomposition of the physical space into kinetic and continuum sub-domains identified via a gradient-based Knudsen number, was described and successfully applied to the simulation of gas flow through a slit in [4]. The solver reliability for near wall modelling was later demonstrated in [5] via simulation of the gas flow through a channel of finite length for a wide range of Kn number and pressure ratios.…”

Section: Introductionmentioning

confidence: 99%

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Heat transfer in rough microchannels under rarefied flow conditions

Rovenskaya

Croce

2018

European Journal of Mechanics - B/Fluids

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A hybrid solver dynamically coupling kinetic solutions computed in local rarefied areas and Navier-Stokes solutions in the rest of the flow is used for the analysis of heat transfer in a rough microchannel. Roughness geometry is modeled as a series of triangular obstructions and a relative roughness up to 5% of the channel height is considered. Wide range of the Knudsen numbers (from 0.01 up to 0.1) is considered, at low Mach number (nearly incompressible flow). The competition between roughness, rarefaction and heat transfer effects is discussed in terms of averaged Nusselt and Poiseuille numbers and mass flow rate. Discrepancy between the full Navier-Stokes and hybrid solutions is investigated, assessing the range of applicability of the first order slip boundary condition for rough geometries with and without heat transfer.

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Section: Hybrid Methodsmentioning

confidence: 99%