Simulation of Viscous Fingering Instability by the Lattice Boltzmann Method
Communication avec acte
Abstract
The viscous fingering instability is successfully simulated within a lattice Boltzmann framework. Each species of the mixture is governed by its own kinetic equation and a force takes into account the diffusion between species. The influence of the porous medium is mimicked by using the gray lattice Boltzmann model or the Brinkman force model. In this study, both representations of the porous medium yield equivalent results. Then a physical analysis of the instability is performed and two different dynamical behaviour are stated and discussed. Finally, it is observed that a high Péclet number intensify the instability and the viscous dissipation stemming from the Darcy-Brinkman equations delay the development of the fingers in the case of large effective viscosity.
Files in this item
- Name:
- DYNFLUID_AIAA_2019_VIENNE.pdf
- Size:
- 2.063Mb
- Format:
- Description:
- communication avec actes
Collections
Related items
Showing items related by title, author, creator and subject.
-
Article dans une revue avec comité de lectureVIENNE, Lucien; MARIÉ, Simon; GRASSO, Francesco (American Physical Society (APS), 2019)A lattice Boltzmann method for miscible gases is presented. In this model, the standard lattice Boltzmann method is employed for each species composing the mixture. Diffusion interaction among species is taken into account ...
-
Article dans une revue avec comité de lecturePIROZZOLI, Sergio; BERNARDINI, Matteo; MARIÉ, Simon; GRASSO, Francesco (Cambridge University Press (CUP), 2015)Direct numerical simulation of the spatially developing mixing layer issuing from two turbulent streams past a splitter plate is carried out under mild compressibility conditions. The study mainly focuses on the early ...
-
Article dans une revue avec comité de lectureALIZARD, Frédéric; PIROZZOLI, Sergio; BERNARDINI, Matteo; GRASSO, Francesco (Cambridge University Press (CUP), 2015)The structure of zero-pressure-gradient compressible turbulent boundary layers is analysed using the tools of optimal transient growth theory. The approach relies on the extension to compressible flows of the theoretical ...
-
Article dans une revue avec comité de lectureBEN HASSAN SAIDI, Ismaïl; SCHMELZER, Martin; CINNELLA, Paola; GRASSO, Francesco (Elsevier Inc., 2022-02)Reynolds-stress models (EARSM) from high-fidelity data is developed building on the frozen-training SpaRTA algorithm of [1]. Corrections for the Reynolds stress tensor and the production of transported turbulent quantities ...
-
Article dans une revue avec comité de lectureThe influence of dense gas effects on compressible turbulence is investigated by means of numerical simulations of the decay of compressible homogeneous isotropic turbulence (CHIT) and of supersonic turbulent flows through ...