In this paper we apply a finite difference lattice Boltzmann model to study the phase separation in a two-dimensional liquid-vapor system. Spurious numerical effects in macroscopic equations are discussed and an appropriate numerical scheme involving flux limiter techniques is proposed to minimize them and guarantee a better numerical stability at very low… (More)
Flux limiters techniques are used in a finite difference lattice Boltzmann model for two component fluid systems. The Lattice Boltzmann model was successfully applied to investigate the phase separation process, as well as the behaviour of the magnetic fluid – nonmagnetic fluid interface subjected to the action of an external magnetic field.
A two-dimensional finite-difference lattice Boltzmann model for liquid–vapor systems is introduced and analyzed. Two different numerical schemes are used and compared in recovering equilibrium density and velocity profiles for a planar interface. We show that flux limiter techniques can be conveniently adopted to minimize spurious numerical effects and… (More)
A lattice Boltzmann model with interacting particles was developed in order to simulate the magneto-rheological characteristics of magnetic fluids. In the frame of this model, 6 + 1 species of particles are allowed to move across a 2D triangular lattice. Among these species, 6 of them carry an individual magnetic dipole moment and interact themselves not… (More)
The time evolution of the morphology of homogeneous phases during spinodal decomposition is described using a family of morphological measures known as Minkowski functionals. They provide the characteristic length scale L of patterns in a convenient, statistically robust, and computationally inexpensive way. They also allow one to study the scaling behavior… (More)
Phase separation of a two-dimensional van der Waals fluid subject to a grav-itational force is studied by numerical simulations based on lattice Boltzmann methods (LBM) implemented with a finite difference scheme. A growth exponent α = 1 is measured in the direction of the external force.
A finite difference Lattice Boltzmann model for the Van der Waals liquid – vapour system is developed. Density and velocity profiles are derived using two different numerical schemes for the calculation of the force term in the Boltzmann evolution equation. Scalability of the parallel computing code on two computer clusters is also investigated.