Simulating 3D deformable particle suspensions using lattice Boltzmann method with discrete external boundary force

Abstract

SUMMARYA method for direct numerical analysis of three-dimensional deformable particles suspended in fluid is presented. The flow is computed on a fixed regular 'lattice' using the lattice Boltzmann method (LBM), where each solid particle is mapped onto a Lagrangian frame moving continuously through the domain. Instead of the bounce-back method, an external boundary force (EBF) is used to impose the no-slip boundary condition at the fluid-solid interface for stationary or moving boundaries. The EBF is added directly to the lattice Boltzmann equation. The motion and orientation of the particles are obtained from Newtonian dynamics equations. The advantage of this approach is outlined in comparison with the standard and higher-order interpolated bounce-back methods as well as the LBM immersed-boundary and the volume-of-fluid methods. Although the EBF method is general, in this application, it is used in conjunction with the lattice-spring model for deformable particles. The methodology is validated by comparing with experimental and theoretical results.

Blood Damage Quantification in Cardiovascular Flows Through Medical Devices Using a Novel Suspension Flow Method

“…Solid suspended particles use Lagrangian frames that move through the Eulerian fluid domain, which allows for the exact position of the solid boundary surface to be determined within the fluid grid. The external boundary force [2] is the fluid-solid interaction force required to impose the no-slip boundary condition at the fluid-solid interface. Motion and orientation of solid particles are solved using Newtonian dynamics.…”

“…The aim of this research is to numerically study blood damage that occurs in medical devices in cardiovascular flows, starting with a baseline case of bileaflet mechanical heart valve (BMHV) flows. The suspension flow method combines lattice-Boltzmann (LBM) fluid modeling [1] with the external boundary force method [2]. The fluid-solid coupling will employ the novel external boundary force (EBF) method, which is validated as 2nd order accurate.…”

Accelerating fluid–solid simulations (Lattice-Boltzmann & Immersed-Boundary) on heterogeneous architectures

“…Their numerical framework is based on a Navier-Stokes solver and uses the Cusp library developed by Nvidia [15] for GPU acceleration. Our framework uses a different Immersed Boundary formulation based on the one introduced by Uhlmann [16], which is able to deal with complex, moving or deformable boundaries [11,[16][17][18][19][20][21][22]. Some previous performance results were presented in [23].…”

Simulation of swimming of a flexible filament using the generalized lattice-spring lattice-Boltzmann method

“…To overcome this problem, the immersed boundary method originally proposed by Peskin (1977) was used to treat the interaction between fluid and a rigid solid body (not a flexible body) in the frame of the lattice Boltzmann equation by Feng and Michaelides (2004). Subsequently, based on the lattice Boltzmann approach, the immersed boundary method was used to deal with the coupling between the fluid flow and a flexible body by Wu and Aidun (2010) who used the same lattice-spring model as Buxton, which cannot deal with bending deformation due to the lack of three-body forces or angular bonds.…”