Coupled solution of the Boltzmann and Navier–Stokes equations in gas–liquid two phase flow

Tiwari, Sudarshan; Klar, Axel; Hardt, Steffen; Donkov, A. A.

doi:10.1016/j.compfluid.2012.10.018

Cited by 14 publications

(9 citation statements)

References 23 publications

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“…The generalized version of the fitting procedure can handle non-isotropic temperatures and may also be used for coupling of fluid and kinetic codes between separated regions, an area which is of major importance in fluid and plasma theory (see e.g. [2,3,4,5,6,7,8,9,10,11,12]).…”

Section: Introductionmentioning

confidence: 99%

Enhanced conservation properties of Vlasov codes through coupling with conservative fluid models

Trost,

Lautenbach,

Grauer

2017

Preprint

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Many phenomena in collisionless plasma physics require a kinetic description. The evolution of the phase space density can be modeled by means of the Vlasov equation, which has to be solved numerically in most of the relevant cases. One of the problems that often arise in such simulations is the violation of important physical conservation laws. Numerical diffusion in phase space translates into unphysical heating, which can increase the overall energy significantly, depending on the time scale and the plasma regime. In this paper, a general and straightforward way of improving conservation properties of Vlasov schemes is presented that can potentially be applied to a variety of different codes. The basic idea is to use fluid models with good conservation properties for correcting kinetic models. The higher moments that are missing in the fluid models are provided by the kinetic codes, so that both kinetic and fluid codes compensate the weaknesses of each other in a closed feedback loop.

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Section: Introductionmentioning

confidence: 99%

Enhanced conservation properties of Vlasov codes through coupling with conservative fluid models

Trost,

Lautenbach,

Grauer

2017

Preprint

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“…In the present work we consider a fully Lagrangian meshfree particle method [30,31]. The computational domain is approximated by moving grid points or particles.…”

Section: Introductionmentioning

confidence: 99%

“…The computational domain is approximated by moving grid points or particles. We note that a particle management procedure has to be added in the method, see [30,31] for details. The suitability of the method, for fluid-structure interaction with highly flexible structures in the case of regular flow fields has been shown by Tiwari et al [32].…”

Section: Introductionmentioning

confidence: 99%

Brownian dynamics of rigid particles in an incompressible fluctuating fluid by a meshfree method

et al. 2016

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A meshfree Lagrangian method for the fluctuating hydrodynamic equations (FHEs) with fluid-structure interactions is presented. Brownian motion of the particle is investigated by direct numerical simulation of the fluctuating hydrodynamic equations. In this framework a bidirectional coupling has been introduced between the fluctuating fluid and the solid object. The force governing the motion of the solid object is solely due to the surrounding fluid particles. Since a meshfree formulation is used, the method can be extended to many real applications involving complex fluid flows. A threedimensional implementation is presented. In particular, we observe the short and long-time behaviour of the velocity autocorrelation function (VACF) of Brownian particles and compare it with the analytical expression. Moreover, the Stokes-Einstein relation is reproduced to ensure the correct long-time behaviour of Brownian dynamics.

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“…A promising approach, capable of dealing with much more complex flow geometries, is described in Tiwari et al (2013) where a mesh free scheme, called Finite Pointset Method, similar to the Smoothed Particles Hydrodynamics (SPH) method (Gingold and Monaghan, 1977), is used to construct a particle approximation of the Navier-Stokes equations describing the condensed phase. The Boltzmann equation, describing the vapor phase, is solved by the nowadays standard Direct Simulation Monte Carlo (DSMC) particle method (Bird, 1994).…”

Section: A Summary Of Computational Techniques For Two-phase Flows Anmentioning

confidence: 99%

Kinetic theory aspects of non-equilibrium liquid-vapor flows

Frezzotti

Barbante

2017

Mechanical Engineering Reviews

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Kinetic theory of fluids plays an important role in understanding and modeling mass, momentum and energy transfer between the vapor and liquid phase in non-equilibrium two-phase flows, in which evaporation and/or condensation take place. The paper presents a review of the literature which focuses on kinetic modeling of the vapor-liquid interface. Starting from the studies of the Knudsen layer structure in evaporation and condensation, the problem of the formulation of kinetic boundary conditions is described and discussed. The formulation of models based on approximate kinetic descriptions of dense fluids is described and the model capabilities are assessed through the analysis of the results obtained by various authors.

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Coupled solution of the Boltzmann and Navier–Stokes equations in gas–liquid two phase flow

Cited by 14 publications

References 23 publications

Enhanced conservation properties of Vlasov codes through coupling with conservative fluid models

Enhanced conservation properties of Vlasov codes through coupling with conservative fluid models

Brownian dynamics of rigid particles in an incompressible fluctuating fluid by a meshfree method

Kinetic theory aspects of non-equilibrium liquid-vapor flows

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