An integrated lattice Boltzmann and finite volume method for the simulation of viscoelastic fluid flows

Zou, Shun; Yuan, Xue‐Feng; Yang, Xuejun; Yi, Wei-Jian; Xu, Xinhai

doi:10.1016/j.jnnfm.2014.07.003

Cited by 35 publications

(17 citation statements)

References 36 publications

(60 reference statements)

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“…Driven by the same motivation, to construct a highly efficient solver for general fluid dynamics applications, Zou et al (2014) combined the efficient velocity, pressure and density computation of the LBM with the Navier-Stokes equations for the constitutive relations. They validated their solver against a Poiseuille flow, Taylor-Green vortex and sudden contraction with a ratio of 4:1 and obtained good agreement.…”

Section: Review On Hybrid and Multiscale Lattice Boltzmann Methodsmentioning

confidence: 99%

Progress in particle-based multiscale and hybrid methods for flow applications

Teschner

Könözsy

Jenkins

2016

Microfluid Nanofluid

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Section: Review On Hybrid and Multiscale Lattice Boltzmann Methodsmentioning

confidence: 99%

Progress in particle-based multiscale and hybrid methods for flow applications

Teschner

Könözsy

Jenkins

2016

Microfluid Nanofluid

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“…Reasonable parallel coupling operations play an important role on efficient coupling simulation. There are also different multi-scale coupling methods, that is, finite volume method and lattice Boltzmann method, 14 finite volume method, and Brownian configuration method. 15 The existing coupling method frameworks include MaMiCo.…”

Section: Hybrid Coupling Computational Frameworkmentioning

confidence: 99%

WI-USHER: A grid-based parallel algorithm for particle insertion in hybrid atomistic-continuum method

Wang

et al. 2017

Advances in Mechanical Engineering

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The hybrid atomistic-continuum coupling method based on domain decomposition serves as an important tool for the micro-fluid simulation. There exists a certain degree of parallelism load imbalance when directly using the USHER algorithm in the domain decomposition-based hybrid atomistic-continuum coupling method. In this article, we propose a grid-based parallel algorithm for particle insertion, named WI-USHER, to improve the efficiency of the particle insertion operation when restricting the size of the region to be inserted or with higher number density. The WI-USHER algorithm slices the region to be inserted into finer grids with proper spacing scale, marks parts of finer grids in black according to three exclusive rules, that is, Single Particle Occupation (SPO), Single Particle Coverage (SPC), and Multi-Particles Coverage (MPC), and finds the target insertion point in the remained white grids. We use two test cases to show the superiority of our WI-USHER algorithm over the USHER algorithm. The WI-USHER algorithm performs lower averaged force evaluation times, which decreases from O(10 4) to O(10 3) compared to the USHER algorithm when the number density of slightly high to high value. The percentage of the total parallel simulation time processed by the particle insertion operation decreases from 23.5% to 3% compared to the USHER algorithm.

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“…Since 1990s, Qian [11] and Giraud [12] have been developed the lattice Boltzmann method to account for non-Newtonian behaviors, but they did not focus on the model with strong elastic effects. Later, several approaches have been proposed to incorporate constitutive equations in lattice Boltzmann simulations for viscoelastic fluids [13][14][15][16][17]. Recently, Papenkort et al [18] investigated viscoelastic shear-thinning fluid using lattice Boltzmann method; Wang et al [19] employed a multiple-relaxation-time lattice Boltzmann flux solver for non-Newtonian power-law fluid flows.…”

Section: Introductionmentioning

confidence: 99%

A Lattice Boltzmann Method and Asynchronous Model Coupling for Viscoelastic Fluids

Ouyang

2018

Applied Sciences

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The numerical algorithms of viscoelastic flows can appear a tremendous challenge as the Weissenberg number (Wi) enlarged sufficiently. In this study, we present a generalized technique of time-stably advancing based on the coupled lattice Boltzmann method, in order to improve the numerical stability of simulations at a high Wi number. The mathematical models of viscoelastic fluids include both the equation of the solvent and the Oldroyd-B constitutive equation of the polymer. In the two-dimensional (2D) channel flow, the coupled method shows good agreements between the corresponding exact results and the numerical results obtained by our method. In addition, as the Wi number increased, for the viscoelastic flows through contractions, we show that the prediction of our presented method can reproduce the same numerical results that were reported by previous studies. The main advantage of current method is that it can be applied to simulate the complex phenomena of the viscoelastic fluids.lattice Boltzmann method have been devised to solve the equations of an Oldroyd-B viscoelastic fluid in the reference [21], which did not need to adding extra distribution functions for the stress tensor. The coupled systems of the viscoelastic fluid include the macro scale constitutive equation and the mesoscopic lattice Boltzmann equation. There is a more disparity in timescales between the macro solver and meso solver. To distinguish this different time scale and enhance the computational efficiency, the asynchronously coupled method [22,23] was applied for the coupling time in reference [21]. That means, the data between macro constitutive equation and the lattice Boltzmann equation exchange at every time step. The constitutive solver may run at a slower pace than the meso-scale dynamics.The asynchronous coupling method allows for the coupled solvers to exchange the data at every loop, although the meso and macro time steps are unequal. This special treatment is actually a numerical approximation to the true solution. For viscoelastic fluids at low Wi number, asynchronously coupled method may get steady result in simulations if the macro time step can guarantee the adequate resolutions of each solvers because of the small scale-separation. However, for viscoelastic fluids at high Wi number, the computational stability of asynchronously coupling is greatly affected by the polymer stress as the elasticity interaction becomes relatively large. Therefore, the asynchronously coupling method has the limitations, such as poor numerical stability, which were limited to solve the low Wi number problem.The aim of the current paper is to develop a generalized technique for time advancing of the viscoelastic coupled lattice Boltzmann method, seeking to be immune to high Wi number problem. The basic idea of our new method is as follows. (i) Run the lattice Boltzmann solver using its own time step δt, while allowing for a flexible number of lattice Boltzmann solver steps N before the exchange of coupling variables; (ii) Run the constitutive ...

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An integrated lattice Boltzmann and finite volume method for the simulation of viscoelastic fluid flows

Cited by 35 publications

References 36 publications

Progress in particle-based multiscale and hybrid methods for flow applications

Progress in particle-based multiscale and hybrid methods for flow applications

WI-USHER: A grid-based parallel algorithm for particle insertion in hybrid atomistic-continuum method

A Lattice Boltzmann Method and Asynchronous Model Coupling for Viscoelastic Fluids

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