Physical modeling of multiphase flow via lattice Boltzmann method: Numerical effects, equation of state and boundary conditions

Abstract

The aims of the present paper are threefold. First, we further study the fast Fourier transform thermal lattice Boltzmann (FFT–TLB) model for van der Waals (VDW) fluids proposed in Phys. Rev. E, 2011, 84(4): 046715. We analyze the merits of the FFT approach over the traditional finite difference scheme and investigate the effects of smoothing factors on accuracy and stability in detail. Second, we incorporate the VDW equation of state with flexible parameters into the FFT–TLB model. As a result, the revised model may be used to handle multiphase flows with various critical densities and temperatures. Third, we design appropriate boundary conditions for systems with solid walls. These improvements, from the views of numerics and physics, significantly extend the application scope of the model in science and engineering.

Keywords

van der Waals fluids / lattice Boltzmann method / FFT / equation of state

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