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A lattice Boltzmann equation (LBE) method for incompressible binary fluids is proposed to model the contact line dynamics on partially wetting surfaces. Intermolecular interactions between a wall and fluids are represented by the inclusion of the cubic wall energy in the expression of the total free energy. The proposed boundary conditions eliminate the(More)
Dynamics of a single rising gas bubble is studied using a Lattice Boltzmann Method (LBM) based on the Cahn–Hilliard diffuse interface approach. The bubble rises due to gravitational force. However, deformation and velocity of the bubble depend on the balance of other forces produced by surface tension, inertia, and viscosity. Depending on the primary forces(More)
We present a spectral-element discontinuous Galerkin lattice Boltzmann method for solving nearly incompressible flows. Decoupling the collision step from the streaming step offers numerical stability at high Reynolds numbers. In the streaming step, we employ high-order spectral-element discontinuous Galerkin discretizations using a tensor product basis of(More)
The behavior of drops on superhydrophobic surfaces is of interest from an engineering point of view. As it can be difficult to probe some of the more subtle phenomena by experiment , numerical simulations can be illuminating. Many research efforts have utilized the lattice Boltzmann method to glean important conclusions about the nature of this subject, but(More)
A new two-distribution lattice Boltzmann equation (LBE) algorithm is presented to solve the laminar diffusion flames within the context of Burke–Schumann flame sheet model. One distribution models the transport of the Schvab–Zeldovich coupling function, or the mixture fraction to combine the energy and species equations. The other distribution models the(More)
a r t i c l e i n f o a b s t r a c t Due to their finite size and wetting properties, particles deform an interface locally, which can lead to capillary interactions that dramatically alter the behavior of the system, relative to the particle-free case. Many existing multi-component solvers suffer from spurious currents and the inability to employ(More)
We present a spectral-element discontinuous Galerkin thermal lattice Boltz-mann method (SEDG-TLBM) for fluid-solid conjugate heat transfer applications. In this work, we revisit the discrete Boltzmann equation (DBE) for nearly incompressible flows and propose a numerical scheme for conjugate heat transfer applications on unstructured, non-uniform mesh(More)