Modeling realistic multiphase flows using a non-orthogonal multiple-relaxation-time lattice Boltzmann method
arXiv:2306.16274 · doi:10.1063/1.5087266
Abstract
In this paper, we develop a three-dimensional multiple-relaxation-time lattice Boltzmann method (MRT-LBM) based on a set of non-orthogonal basis vectors. Compared with the classical MRT-LBM based on a set of orthogonal basis vectors, the present non-orthogonal MRT-LBM simplifies the transformation between the discrete velocity space and the moment space, and exhibits better portability across different lattices. The proposed method is then extended to multiphase flows at large density ratio with tunable surface tension, and its numerical stability and accuracy are well demonstrated by some benchmark cases. Using the proposed method, a practical case of a fuel droplet impacting on a dry surface at high Reynolds and Weber numbers is simulated and the evolution of the spreading film diameter agrees well with the experimental data. Furthermore, another realistic case of a droplet impacting on a super-hydrophobic wall with a cylindrical obstacle is reproduced, which confirms the experimental finding of Liu \textit{et al.} [``Symmetry breaking in drop bouncing on curved surfaces," Nature communications 6, 10034 (2015)] that the contact time is minimized when the cylinder radius is comparable with the droplet cylinder.
arXiv comment19 pages, 11 figures
References in corpus (24)
- Simulation of non-ideal gases and liquid-gas phase transitions by lattice Boltzmann equation
- Lattice Boltzmann Simulation of Non-Ideal Fluids
- Pancake bouncing on superhydrophobic surfaces
- Lattice Boltzmann methods for multiphase flow and phase-change heat transfer
- Lattice Boltzmann modeling of multiphase flows at large density ratio with an improved pseudopotential model
- Symmetry-breaking in drop bouncing on curved surfaces
- Lattice Boltzmann modeling of boiling heat transfer: The boiling curve and the effects of wettability
- A Lattice Boltzmann Model for Multi-phase Fluid Flows
- Forcing scheme in pseudopotential lattice Boltzmann model for multiphase flows
- Contact angles in the pseudopotential lattice Boltzmann modeling of wetting
- Efficient kinetic method for fluid simulation beyond the Navier-Stokes equation
- Achieving tunable surface tension in the pseudopotential lattice Boltzmann modeling of multiphase flows
- Short time dynamics of viscous drop spreading
- Improved axisymmetric lattice Boltzmann scheme
- Three-dimensional cascaded lattice Boltzmann method: improved implementation and consistent forcing scheme
- Consistent forcing scheme in the cascaded lattice Boltzmann method
- Three-dimensional non-orthogonal multiple-relaxation-time lattice Boltzmann model for multiphase flows
- Volume of Fluid (VOF) type advection methods in two-phase flow: a comparative study
- Lattice Boltzmann study on Kelvin-Helmholtz instability: the roles of velocity and density gradients
- Lattice Boltzmann modeling and simulation of liquid jet breakup
- Modeling incompressible thermal flows using a central-moment-based lattice Boltzmann method
- Color-gradient lattice Boltzmann model with nonorthogonal central moments: Hydrodynamic melt-jet breakup simulations
- Mesoscopic model for soft flowing systems with tunable viscosity ratio
- SPH simulation of fuel drop impact on heated surfaces
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