A pressure-evolution-based multi-relaxation-time high-density-ratio two-phase lattice-Boltzmann model
✍ Scribed by Shiladitya Mukherjee; John Abraham
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 630 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0045-7930
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✦ Synopsis
Two of the major challenges in extending the application of multiphase lattice-Boltzmann (LB) models to realistic fluid flow simulations are their numerical instability at high liquid-to-gas density ratios, and at low viscosities. In this paper, a model, recently presented in the literature, for simulating high-density ratios is extended to lower viscosities by employing multiple-relaxation-times for particle collision. In applying the multiple-relaxation-time (MRT) model, the collision term is treated explicitly and the three-step solution procedure suggested by the prior author is employed. The model is evaluated by verifying the Laplace-Young relation for a static infinitely long liquid cylinder, comparing frequency of oscillations of an initially elliptic cross-section liquid cylinder with analytic values and comparing the behavior of a two-dimensional (2D) planar drop impinging on a wet wall with prior results. The results show satisfactory agreement with available data, and a significant gain in numerical stability.