A distributed Lagrange multiplier/fictitious domain method for viscoelastic particulate flows

Singh, Pushpendra; Joseph, Daniel D.; Hesla, Todd I.; Glowinski, Roland; Pan, Tsorng‐Whay

doi:10.1016/s0377-0257(99)00104-4

Cited by 91 publications

(63 citation statements)

References 14 publications

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“…Using this method, the fluid flow containing many rigid particles was successfully simulated by Glowinski et al [4,5]. Recently, the DLM/FD method has also been extended to simulate particulate flows in non-Newtonian fluids [6,7]. Usually, the generalized Galerkin finite element scheme is incorporated into DLM/FD method.…”

Section: Introductionmentioning

confidence: 99%

Particulate Flow Simulation via a Boundary Condition-Enforced Immersed Boundary-Lattice Boltzmann Scheme

Chen

2010

CICP

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Abstract.A boundary condition-enforced immersed boundary-lattice Boltzmann method (IB-LBM) for the simulation of particulate flows is presented in this paper. In general, the immersed boundary method (IBM) utilizes a discrete set of force density to represent the effect of boundary. In the conventional IB-LBM, such force density is pre-determined, which cannot guarantee exact satisfaction of non-slip boundary condition. In this study, the force density is transferred to the unknown velocity correction which is determined by enforcing the non-slip boundary condition. For the particulate flows, accurate calculation of hydrodynamic force exerted on the boundary of particles is of great importance as it controls the motion of particles. The capability of present method for particulate flows is depicted by simulating migration of one particle in a simple shear flow and sedimentation of one particle in a box and two particles in a channel. The expected phenomena and numerical results are achieved. In addition, particle suspension in a 2D symmetric stenotic artery is also simulated.

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Section: Introductionmentioning

confidence: 99%

Particulate Flow Simulation via a Boundary Condition-Enforced Immersed Boundary-Lattice Boltzmann Scheme

Chen

2010

CICP

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“…The incompressibility condition, and the related unknown pressure, This gives rise to a Stokes-like problem for the velocity and pressure distributions, which is solved by using a conjugate gradient method [32,37]. 2.…”

Section: Finite Element Methodsmentioning

confidence: 99%

Direct Numerical Simulation of Particles in Spatially Varying Electric Fields †

Amah

Janjua

Singh

2018

Fluids

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Abstract:A numerical scheme is developed to simulate the motion of dielectric particles in the uniform and nonuniform electric fields of microfluidic devices. The motion of particles is simulated using a distributed Lagrange multiplier method (DLM) and the electric force acting on the particles is calculated by integrating the Maxwell stress tensor (MST) over the particle surfaces. One of the key features of the DLM method used is that the fluid-particle system is treated implicitly by using a combined weak formulation, where the forces and moments between the particles and fluid cancel, as they are internal to the combined system. The MST is obtained from the electric potential, which, in turn, is obtained by solving the electrostatic problem. In our numerical scheme, the domain is discretized using a finite element scheme and the Marchuk-Yanenko operator-splitting technique is used to decouple the difficulties associated with the incompressibility constraint, the nonlinear convection term, the rigid-body motion constraint and the electric force term. The numerical code is used to study the motion of particles in a dielectrophoretic cage which can be used to trap and hold particles at its center. If the particles moves away from the center of the cage, a resorting force acts on them towards the center. The MST results show that the ratio of the particle-particle interaction and dielectrophoretic forces decreases with increasing particle size. Therefore, larger particles move primarily under the action of the dielectrophoretic (DEP) force, especially in the high electric field gradient regions. Consequently, when the spacing between the electrodes is comparable to the particle size, instead of collecting on the same electrode by forming chains, they collect at different electrodes.

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“…An improved Lagrangian stochastic model with RSM is used by Chen [15] to investigate heavy particle dispersion in turbulent flows. Hagiwara et al [13], Singh et al [16], Sato et al [14] present the particle behaviour concerning the phase interaction, or turbulence, or heat transfer. Lagrangian methods are still the main approach for particle tracking calculations [17][18][19][20].…”

Section: Discrete Phase Method-lagrangian Approachmentioning

confidence: 99%

Numerical and experimental investigation of the morphology development of expansion clouds by a powder jet flow

Tang

Anjorin

Morgan

et al. 2004

Fire Safety Journal

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Explosion suppression is often the preferred method of explosion attenuation in industry. The morphology development of suppression clouds is important for the design of necessary coverage of the product. This paper presents a numerical and experimental investigation of the growth of powder dispersion as it expands from a discharge nozzle. A Lagrangian stochastic particle-tracking approach and the RNG k-ε turbulence model are adopted in the flow field solver for the dispersed and

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A distributed Lagrange multiplier/fictitious domain method for viscoelastic particulate flows

Cited by 91 publications

References 14 publications

Particulate Flow Simulation via a Boundary Condition-Enforced Immersed Boundary-Lattice Boltzmann Scheme

Particulate Flow Simulation via a Boundary Condition-Enforced Immersed Boundary-Lattice Boltzmann Scheme

Direct Numerical Simulation of Particles in Spatially Varying Electric Fields †

Numerical and experimental investigation of the morphology development of expansion clouds by a powder jet flow

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