# Towards a consistent lattice Boltzmann model for two-phase fluid

@inproceedings{Hosseini2021TowardsAC, title={Towards a consistent lattice Boltzmann model for two-phase fluid}, author={S. A. Hosseini and Benedikt Dorschner and I. V. Karlin}, year={2021} }

We propose a kinetic framework for single-component non-ideal isothermal flows. Starting from a kinetic model for a non-ideal fluid, we show that under conventional scaling the Navier-Stokes equations with a non-ideal equation of state are recovered in the hydrodynamic limit. A scaling based on the smallness of velocity increments is then introduced, which recovers the full Navier-Stokes-Korteweg equations. The proposed model is realized on a standard lattice and validated on a variety of…

## Figures from this paper

## 2 Citations

### Mesoscale Modelling of the Tolman Length in Multi-component Systems

- Computer Science
- 2021

An extensive set of simulations are performed and the first example of tunable Tolman length in the mesoscopic model is presented, being zero for symmetric interactions and diﬀerent from zero otherwise, paving the way for controlling such interface properties which are paramount in presence of thermal ﬂuctuations.

### Entropic multi-relaxation-time lattice Boltzmann model for large density ratio two-phase flows

- Physics
- 2022

. We propose a multiple relaxation time entropic realization of a two-phase ﬂow lattice Boltzmann model we introduced in earlier works [S.A. Hosseini, B. Dorschner, and I. V. Karlin, arXiv preprint,…

## References

SHOWING 1-10 OF 57 REFERENCES

### Momentum transfer of a Boltzmann-lattice fluid with boundaries

- Physics
- 2001

We study the velocity boundary condition for curved boundaries in the lattice Boltzmann equation (LBE). We propose a LBE boundary condition for moving boundaries by combination of the “bounce-back”…

### A unified lattice Boltzmann model and application to multiphase flows

- PhysicsPhilosophical Transactions of the Royal Society A
- 2021

A ULBM framework that can seamlessly integrate the widely used lattice Boltzmann collision operators, including the Bhatnagar–Gross–Krook or single-relation- time, multiple-relaxation-time, central-moment or cascaded latticeboltzmann method and multiple entropic operators (KBC).

### On equations of state in a lattice Boltzmann method

- PhysicsComput. Math. Appl.
- 2009

### Lattice Boltzmann modeling of multiphase flows at large density ratio with an improved pseudopotential model.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2013

The improved pseudopotential LB model is numerically validated via the simulations of stationary droplet and droplet oscillation and it is found that a lower liquid viscosity can be gained in the pseudopotentials model by increasing the kinematic viscosities ratio between the vapor and liquid phases.

### Mesoscale perspective on the Tolman length.

- Materials SciencePhysical review. E
- 2022

We demonstrate that the multiphase Shan-Chen lattice Boltzmann method (LBM) yields a curvature dependent surface tension σ as computed from three-dimensional hydrostatic droplets and bubbles…

### Mesoscopic modeling of a two-phase flow in the presence of boundaries: The contact angle.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2006

We present a mesoscopic model, based on the Boltzmann equation, for the interaction between a solid wall and a nonideal fluid. We present an analytic derivation of the contact angle in terms of the…

### Thermodynamic consistency of a pseudopotential lattice Boltzmann fluid with interface curvature.

- PhysicsPhysical review. E
- 2019

The effect of Laplace pressure on phase equilibrium is quantitatively consistent with Kelvin equation at high reduced temperatures and at low temperatures, and inconsistency that can be attributed to the effect of orientation of the interface was noted, and it can be improved by tuning of the pseudopotential.

### Extended lattice Boltzmann model for gas dynamics

- Physics, Computer SciencePhysics of Fluids
- 2021

It is demonstrated that the present model provides an accurate representation of compressible flows, even in the presence of turbulence and shock waves.

### Thermokinetic lattice Boltzmann model of nonideal fluids.

- PhysicsPhysical review. E
- 2020

We present a kinetic model for nonideal fluids, where the local thermodynamic pressure is imposed through appropriate rescaling of the particle's velocities, accounting for both long- and short-range…