A boundary thickening-based direct forcing immersed boundary method for fully resolved simulation of particle-laden flows

Abstract

A boundary thickening-based direct forcing (BTDF) immersed boundary (IB) method is proposed for fully resolved simulation of incompressible viscous flows laden with finite size particles. By slightly thickening the boundary thickness, the local communication between the Lagrangian points on the solid boundary and their neighboring fluid Eulerian grids is improved, based on an implicit direct forcing (IDF) approach and a partition-of-unity condition for the regularized delta function. This strategy yields a simple, yet much better imposition of the no-slip and no-penetration boundary conditions than the conventional direct forcing (DF) technique. In particular, the present BTDF method can achieve a numerical accuracy comparable with other representative improved methods, such as multi-direct forcing (MDF), implicit velocity correction (IVC) and the reproducing kernel particle method (RKPM), while its computation cost remains much lower and nearly equivalent to the conventional DF scheme. The dependence of the optimum thickness value of boundary thickening on the form of the regularized delta functions is also revealed. By coupling the lattice Boltzmann method (LBM) with BTDF-IB, the robustness of the present BTDF IB method is demonstrated using numerical simulations of creeping flow (Re=0.1), steady vortex separating flow (Re=40) and unsteady vortex shedding flow (Re=200) around a circular cylinder.

Numerical simulation of fine particle liquid–solid flow in porous media based on LBM‐IBM‐DEM

“…Figure 5 shows the resistance coefficients of the sphere calculated by our model at different Reynolds numbers and the data given in the existing literature. [26,[29][30][31][32] By comparison, it can be seen that the calculated results of our LBM-IBM-DEM model are in good agreement with the existing numerical and experimental data.…”

“…Here, the coupling force between a fine particle and local flow field is calculated by a modified IBM, in which the boundary thickening is proposed by Jiang and Liu. [26] The external force term G α (x, t) in Equation ( 1) is defined as follows:…”

Inertial migration of aerosol particles in three-dimensional microfluidic channels

“…The numerical simulations were carried out by an in-house CFD code, PFlows, based on the immersed boundary coupling with lattice Boltzmann method (IB-LBM) ( Jiang et al, 2020a , Jiang et al, 2020b , Jiang and Liu, 2019 , Jiang et al, 2018c ). The lattice Boltzmann method ( Aidun and Clausen, 2009 , Chen and Doolen, 1998 ) has been a popular CFD numerical tool due to its advantages in simplicity, meshless, efficiency, and parallel scalability.…”

“…The particle–fluid hydrodynamic interaction is solved by the communication between the fixed fluid lattices and the moving surface points at the local region near the immersed particle surface (boundary). The details and validations of the numerical method can be referred to Jiang and Liu (2019) , Jiang, Qian, and Liu (2018) , which is briefly described below.…”

Numerical study of the interaction of a shock wave with moving rotating bodies with a complex shape

“…На сегодняшний день есть примеры прямого трехмерного моделирования динамики движения нескольких десятков тысяч тел в турбулентном потоке вязкой несжимаемой среды с использованием нескольких тысяч процессоров [Schneiders et al, 2017]. Большинство подобных исследований, как и приведенный выше пример [Schneiders et al, 2017], касаются медленных течений несжимаемой жидкости [Patankar et al, 2001;Jiang, Liu, 2019]. Как правило, при решении определяющей системы уравнений используются различные разновидности метода погруженной границы, не требующего построения и перестроения криволинейных расчетных сеток (см., например, обзоры в [Mittal, Iaccarino, 2005;Bennett et al, 2018], а также работы [Меньшов, Корнев, 2014; Афендиков, Никитин, 2020; Брагин, Рогов, 2020] для случая течений сжимаемых сред).…”