Chromo-dynamic multi-component lattice Boltzmann equation scheme for axial symmetry
| Autor: | Xu Xu, James Spendlove, Michael A. Seaton, Ian Halliday, Torsten Schenkel |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Statistics and Probability
Physics Force density Drop (liquid) Lattice Boltzmann methods General Physics and Astronomy Statistical and Nonlinear Physics Kinematics Mechanics 01 natural sciences 010305 fluids & plasmas law.invention Physics::Fluid Dynamics law Modeling and Simulation 0103 physical sciences Cartesian coordinate system Boundary value problem Density contrast 010306 general physics Axial symmetry Mathematical Physics |
| ISSN: | 1751-8121 |
| Popis: | We validate the chromo-dynamic multi-component lattice Boltzmann equation (MCLBE) simulation for immiscible fluids with a density contrast against analytical results for complex flow geometries, with particular emphasis on the fundamentals of the method, i.e. compliance with inter-facial boundary conditions of continuum hydrodynamics. To achieve the necessary regimes for the chosen validations, we develop, from a three-dimensional, axially-symmetric flow formulation, a novel, two-dimensional, pseudo Cartesian, MCLBE scheme. This requires the inclusion in lattice Boltzmann methodology of a continuously distributed source and a velocity-dependent force density (here, the metric force terms of the cylindrical Navier–Stokes equations). Specifically, we apply our model to the problem of flow past a spherical liquid drop in Re = 0, Ca regime and, also, flow past a lightly deformed drop. The resulting simulation data, once corrected for the simulation’s inter-facial micro-current (using a method we also advance herein, based on freezing the phase field) show good agreement with theory over a small range of density contrasts. In particular, our data extend verified compliance with the kinematic condition from flat (Burgin et al 2019 Phys. Rev. E 100 043310) to the case of curved fluid–fluid interfaces. More generally, our results indicate a route to eliminate the influence of the inter-facial micro-current. |
| Databáze: | OpenAIRE |
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