A version of immersed boundary-lattice Boltzmann method (IB-LBM) is proposed in this work. It is based on the lattice Boltzmann equation with external forcing term proposed by Guo et al. [Z. Guo, C. Zheng, B. Shi, Discrete lattice effects on the forcing term in the lattice Boltzmann method, Phys. Rev. E 65 (2002) 046308], which can well consider the effect of external force to the momentum and ...

The paper presents a numerical method to simulate singleand multi-component fluid flows around moving/deformable solid boundaries, based on the coupling of Immersed Boundary (IB) and Lattice Boltzmann (LB) methods. The fluid domain is simulated with LB method using the single relaxation time BGK model, in which an interparticle potential model is applied for multi-component fluid flows. The IB-...

The authors develop finite difference methods for elliptic equations of the form V. ((x)Vu(x)) + (x)u(x) f(x) in a region in one or two space dimensions. It is assumed that gt is a simple region (e.g., a rectangle) and that a uniform rectangular grid is used. The situation is studied in which there is an irregular surface F of codimension contained in fl across which , a, and f may be discontin...

A finite difference lattice Boltzmann method (FDLBM) for the simulation of mud and debris flows one-dimensional cases has been introduced. The proposed FDLBM recovers generalized equations flows, that is, an unsteady Saint-Venant equation, including effects non-Newtonian behavior mixture water soil, contraction–expansion losses (or large eddy loss), wind force, various geometries, lateral inflo...

The recent development of the lattice gas automata method and its extension to the lattice Boltzmann method have provided new computational schemes for solving a variety of partial differential equations and modeling chemically reacting systems. The lattice gas method, regarded as the simplest microscopic and kinetic approach which generates meaningful macroscopic dynamics, is fully parallel an...

During the process of bubbles interacting with particles, the bubble movement velocity, jetting phenomenon, topological deformation, and even properties of flow field may demonstrate novel variation. To investigate these characteristics, the lattice Boltzmann method (LBM) which is based on kinetic theory is adopted to build up the three dimensional coupled model. The gas-liquid interface with l...