Simulation of heat-vortex interaction by the diffusion velocity method

Ogami, Yoshifumi

doi:10.1051/proc:1999029

Cited by 5 publications

(6 citation statements)

References 10 publications

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“…Indeed, there is an adaptation of the convected and diffused support, represented by the particles, in an extending domain. Applications concern for instance, pollutant dispersion in porous media [18], heat-vortex interaction [19], airfoil wake modelling [20], as well as the modelling of the diffusive term in the Navier-Stokes [15], heat [21] or Lotka-Volterra [22] equations.…”

Section: Introductionmentioning

confidence: 99%

A self-regularising DVM–PSE method for the modelling of diffusion in particle methods

Mycek

Pinon

Germain

et al. 2013

Comptes Rendus. Mécanique

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The modelling of diffusive terms in particle methods is a delicate matter and several models have been proposed in the literature. The Diffusion Velocity Method (DVM) consists in rewriting these terms in an advective way, thus defining a so-called diffusion velocity. In addition to the actual velocity, it is used to compute the particles displacement. On the other hand, the well-known and commonly used Particle Strength Exchange method (PSE) uses an approximation of the Laplacian operator in order to model diffusion. This approximation is based on an exchange of particles strength. Although DVM is particularly well suited to particle methods since it preserves their Lagrangian aspect, its major drawback stems in the fact that it suffers from severe singular behaviours. This paper intends to give insights and ideas for coping with these issues, based on an exact decomposition of the diffusion coefficient allowing a hybrid DVM-PSE treatment of diffusive terms.

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Section: Introductionmentioning

confidence: 99%

A self-regularising DVM–PSE method for the modelling of diffusion in particle methods

Mycek

Pinon

Germain

et al. 2013

Comptes Rendus. Mécanique

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“…Indeed, there is an adaptation of the convected and diffused support, represented by the particles, in an extending domain. Applications concern for instance, pollutant dispersion in porous media (Beaudoin et al 2003), heat-vortex interaction (Ogami 1999), airfoil wake modelling (Guvernyuk and Dynnikova 2007), as well as the modelling of the diffusive term in the Navier-Stokes (Rivoalen et al 1997), heat (Dynnikov and Dynnikova 2011) or Lotka-Volterra (Gambino et al 2009) equations.…”

Section: Introductionmentioning

confidence: 99%

Formulation and analysis of a diffusion-velocity particle model for transport-dispersion equations

et al. 2014

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. Formulation and analysis of a diffusionvelocity particle model for transport-dispersion equations. Computational and Applied Mathematics, Springer Verlag, 2016, 35 (2), pp.447-473. 10.1007/s40314-014-0200-5. hal-01087854 Formulation and analysis of a diffusion-velocity particle model for transport-dispersion equations Paul Mycek · Grégory Pinon · Grégory Germain · Elie Rivoalen Abstract The modelling of diffusive terms in particle methods is a delicate matter and several models were proposed in the literature to take such terms into account. The Diffusion Velocity Method (DVM), originally designed for the diffusion of passive scalars, turns diffusive terms into convective ones by expressing them as a divergence involving a so-called diffusion velocity. In this paper, DVM is extended to the diffusion of vectorial quantities in the three-dimensional NavierStokes equations, in their incompressible, velocity-vorticity formulation. The integration of a Large Eddy Simulation (LES) turbulence model is investigated and a DVM general formulation is proposed. Either with or without LES, a novel expression of the diffusion velocity is derived, which makes it easier to approximate and which highlights the analogy with the original formulation for scalar transport. From this statement, DVM is then analysed in one dimension, both analytically and numerically on test cases to point out its good behaviour.

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“…We focus here only on the basics of the numerical algorithm used in the vortex and thermal blob methods; see (Ogami, 1999;Cottet and Koumoutsakos, 2000;Andronov et al, 2006) for 135 further details.…”

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confidence: 99%

“…As mentioned above, the thermal expansion and buoyancy force effects are ignored. We base our analysis on the viscous-vortex and thermal-blob methods (Andronov et al, 2006;Ogami, 1999), in which the dimensionless carrier-phase equations are written in the form:…”

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confidence: 99%

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A combined viscous-vortex, thermal-blob and Lagrangian method for non-isothermal, two-phase flow modelling

Rybdylova

Осипцов

Sazhin

et al. 2016

International Journal of Heat and Fluid Flow

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A meshless method for modelling of 2D transient, non-isothermal, gas-droplet flows with phase transitions, based on a combination of the viscous-vortex and thermal-blob methods for the carrier phase with the Lagrangian approach for the dispersed phase, is developed. The one-way coupled, two-fluid approach is used in the analysis. The method makes it possible to avoid the 'remeshing' procedure (recalculation of flow parameters from Eulerian to Lagrangian grids) and reduces the problem to the solution of three systems of ordinary differential equations, describing the motion of viscous-vortex blobs, thermal blobs, and evaporating droplets. The gas velocity field is restored using the Biot-Savart integral. The numerical algorithm is verified against the analytical solution for a non-isothermal Lamb vortex and some asymptotic results known in the literature. The method is applied to modelling of an impulse two-phase cold jet injected into a quiescent hot gas, taking into account droplet evaporation. Various flow patterns are obtained in the calculations, depending on the initial droplet size: (i) low-inertia droplets, evaporating at a higher rate, form ring-like structures and are accumulated only behind the vortex pair; (ii) large droplets move closer to the jet axis, with their sizes remaining almost unchanged; and (iii) intermediate-size droplets are accumulated in a curved band whose ends trail in the periphery behind the head * Corresponding author Email address: O.Rybdylova@brighton.ac.uk (O. Rybdylova)Preprint submitted to International Journal of Heat and Fluid Flow October 28, 2015 of the cloud, with larger droplets being collected at the front of the two-phase region.

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Simulation of heat-vortex interaction by the diffusion velocity method

Cited by 5 publications

References 10 publications

A self-regularising DVM–PSE method for the modelling of diffusion in particle methods

A self-regularising DVM–PSE method for the modelling of diffusion in particle methods

Formulation and analysis of a diffusion-velocity particle model for transport-dispersion equations

A combined viscous-vortex, thermal-blob and Lagrangian method for non-isothermal, two-phase flow modelling

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