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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)

- Luz Amaya-Bower, Taehun Lee
- 2010

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)

- Misun Min, Taehun Lee
- 2009

We present a spectral-element discontinuous Galerkin lattice Boltzmann method for solving single-phase 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 discretizations using a tensor product basis of one-dimensional… (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)

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)

- Taehun Lee, Gary K. Leaf
- 2008

We propose an Eulerian description of the bounce-back boundary condition based on the high-order implicit time marching schemes to improve the accuracy of lattice Boltzmann simulation in the vicinity of curved boundary. The Eulerian description requires only one grid spacing between fluid nodes when the second-order accuracy in time and space is desired,… (More)

A formulation of the intermolecular force in the nonideal gas lattice Boltzmann equation (LBE) method is examined. Dis-cretization errors in the computation of the intermolecular force cause parasitic currents. The parasitic currents can be eliminated to round-off if the potential form of the intermolecular force is used with compact isotropic… (More)