A hybrid wavelet-based adaptive immersed boundary finite-difference lattice Boltzmann method for two-dimensional fluid–structure interaction

Cui, Xiongwei; Yao, Xiongliang; Wang, Zhikai; Liu, Minghao

doi:10.1016/j.jcp.2016.12.019

Cited by 18 publications

(4 citation statements)

References 54 publications

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“…Early simulations based upon the velocity‐vorticity formulation were presented by Fröhlich and Schneider . While more general adaptive collocation techniques were put forth by Vasilyev and Kevlahan, more recently, adaptive wavelet methods have seen use in conjunction with lattice Boltzmann and penalty methods to treat complex geometries . A detailed review on the application of wavelets to turbulent flows may be found within the work of Schneider and Vasilyev …”

Section: Introductionmentioning

confidence: 99%

“…36 While more general adaptive collocation techniques were put forth by Vasilyev and Kevlahan, 37 more recently, adaptive wavelet methods have seen use in conjunction with lattice Boltzmann and penalty methods to treat complex geometries. 38,39 A detailed review on the application of wavelets to turbulent flows may be found within the work of Schneider and Vasilyev. 40 In contrast to the prior works, our purpose for the SGW is unique, as we would like to make use of the SGW, solely to enhance the quality of the scale separation in the three-scale VMS-LES procedure.…”

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confidence: 99%

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A wavelet‐based variational multiscale method for the LES of incompressible flows in a high‐order DG‐FEM framework

Pinto

Plata

Lamballais

2019

Numerical Methods in Fluids

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Summary This work focuses upon the development of a wavelet‐based variant of the variational multiscale method (VMS) for accurate and efficient large eddy simulation (LES) called wavelet‐based VMS‐LES (WMS‐LES). This approach has been incorporated within the framework of a high‐order incompressible flow solver based upon the pressure‐stabilized discontinuous Galerkin finite element method (DG‐FEM). The VMS approach is designed to produce an a priori scale separation of the governing equations, in a manner which makes no assumptions on either the boundary conditions or the mesh uniformity. Using second‐generation wavelets (SGWs) elementwise for scale separation ensures, on one hand, the preservation of the computational compactness of the DG‐FEM scheme and, on the other hand, the ability to achieve scale separation in wavenumber space. The optimal space‐frequency localization property of the SGW provides an improvement over the commonly used Legendre polynomials. The suitability of the elementwise SGW scale‐separation operation as a tool for error indication has been demonstrated in an h‐adaptive computation of the reentrant corner test case. Finally, the DG‐FEM solver and the WMS‐LES method have been assessed through simulations upon the three‐dimensional Taylor‐Green vortex test case. Our results indicate that the WMS‐LES approach exhibits a distinct improvement over the monolevel LES approach. This effect is not produced by a change in the magnitude of the subgrid dissipation but rather by the redistribution of the subgrid dissipation in wavenumber space.

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Section: Introductionmentioning

confidence: 99%

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confidence: 99%

A wavelet‐based variational multiscale method for the LES of incompressible flows in a high‐order DG‐FEM framework

Pinto

Plata

Lamballais

2019

Numerical Methods in Fluids

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“…So the calculation mesh is limited to uniform mesh, which limits the application of the LBM greatly. To eliminate this disadvantage, many researchers have proposed several improvements to implement the LBM on the nonuniform mesh [12][13][14][15][16] and adaptive mesh [17][18][19]. In this article, the finite-difference LBM, proposed by Lee and Lin [20], is adopted to perform the LBM-VP on the nonuniform grids aiming to improve the computing efficiency.…”

Section: Introductionmentioning

confidence: 99%

A Coupled Lattice Boltzmann-Volume Penalization for Flows Past Fixed Solid Obstacles with Local Mesh Refinement

Guo

Cui

Liu

2018

Mathematical Problems in Engineering

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A coupled Lattice Boltzmann-Volume Penalization (LBM-VP) with local mesh refinement is presented to simulate flows past obstacles in this article. Based on the finite-difference LBM, the local mesh refinement is incorporated into the LBM to improve computing efficiency. The volume penalization method is introduced into the LBM by an external forcing term. In the LBM-VP method, the processes of interpolating velocities on the boundaries points and distributing the force density to the Eulerian points near the boundaries are unnecessary. Performing the LBM-VP on a certain point, only the variables of this point are needed, which means the whole procedure can be conducted parallelly. As a consequence, the whole computing efficiency can be improved. To verify the presented method, flows past a single circular cylinder, a pair of cylinders in tandem arrangement, and a NACA-0012 are investigated. A good agreement between the present results and the data in the previous literatures is achieved, which demonstrates the accuracy and effectiveness of the present method to solve the flows past obstacle problems.

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“…The IBM-LBM was found to be effective in simulating single-and multi-component fluid flows around moving/deformable solid boundaries [24], and can also be used to simulate natural convection in a square enclosure with a cylinder covered by a porous layer [25]. Recently a second generation wavelet-based adaptive finite-difference Lattice Boltzmann method (FD-LBM) is developed [26] and now the modified LBM is showing its wide application prospect in two-phase heat and mass transfer simulations.…”

Section: Introductionmentioning

confidence: 99%

Aggregation and flow behavior of magnetic particles in microchannel flow governed by a transverse magnetic field

2018

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Magnetic particles (MPs) can be used as carriers for intentionally transporting medium with the effect of external magnetic field. To reveal the aggregation and transportation regularity of magnetic particles in microchannel flow, the three-dimensional (3D) and two-phase lattice Boltzmann method combined by both the immersed boundary method and the discrete element method is established and the investigation on the evolution of chain-like structure composed of MPs in a microchannel flow governed by transverse uniform magnetic field is investigated. It is revealed MPs can maintain the chain-like structure in the channel flow due to the magnetic dipole force, and the final postures of MP chains are determined by the coupling effect of the base fluid and the chains. The average velocity of the MPs moving in the form of chains is smaller than that moving as discrete elements and the velocity of near-wall fluid is increased. Being a cohesive force, if magnetic dipole force is not large enough, the chain-like structure will be broken due to the push of base fluid with velocity gradient. It is also found that there exists a critical value of the intensity of magnetic dipole force for MPs to maintain the chainlike structure in a microchannel flow with the given inlet velocity. This work demonstrates that, under transverse uniform magnetic field, the discrete MPs can be transported as an entirety in microchannel flow on the promise that the magnetic dipole force is large enough to hold the MPs in the flow field with velocity gradient.

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A hybrid wavelet-based adaptive immersed boundary finite-difference lattice Boltzmann method for two-dimensional fluid–structure interaction

Cited by 18 publications

References 54 publications

A wavelet‐based variational multiscale method for the LES of incompressible flows in a high‐order DG‐FEM framework

A wavelet‐based variational multiscale method for the LES of incompressible flows in a high‐order DG‐FEM framework

A Coupled Lattice Boltzmann-Volume Penalization for Flows Past Fixed Solid Obstacles with Local Mesh Refinement

Aggregation and flow behavior of magnetic particles in microchannel flow governed by a transverse magnetic field

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