Toward advanced subgrid models for Lattice-Boltzmann-based Large-eddy simulation: Theoretical formulations

Sagaut, Pierre

doi:10.1016/j.camwa.2009.08.051

Cited by 76 publications

(44 citation statements)

References 28 publications

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“…(22) and (25), s 10 is obtained. However, it has been experienced that solutions are not always stable with such values for s 10 . Thus, in the present study, the constant value is applied to s 10 as in Eq.…”

Section: K Suga Et Al / Computers and Mathematics With Applicationsmentioning

confidence: 99%

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A D3Q27 multiple-relaxation-time lattice Boltzmann method for turbulent flows

Suga¹,

Kuwata²,

Takashima³

et al. 2015

Computers & Mathematics with Applications

157

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a b s t r a c tA three-dimensional twenty-seven (D3Q27) discrete velocity multiple-relaxation-time lattice Boltzmann method is developed. The proposed scheme is validated in fully developed turbulent channel, pipe and porous medium flows through direct and large eddy simulations. The direct numerical simulation of the turbulent channel flow confirms that the present scheme is as reliable as the spectrum method for simulating turbulence. Through the large eddy simulations of the pipe and porous medium flows, the present scheme shows its satisfactory accuracy for simulating turbulent flows bounded by circular walls that is failed by the three-dimensional nineteen (D3Q19) model.

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Section: K Suga Et Al / Computers and Mathematics With Applicationsmentioning

confidence: 99%

“…This model is simple enough and has been widely applied in many flow cases from micro (see [2,3] for reviews) to turbulent flows (e.g. [4][5][6][7][8][9][10]). However, the solutions by the LBGK model often become unstable in complex flows at finite Knudsen or high Reynolds numbers.…”

Section: Introductionmentioning

confidence: 99%

A D3Q27 multiple-relaxation-time lattice Boltzmann method for turbulent flows

Suga¹,

Kuwata²,

Takashima³

et al. 2015

Computers & Mathematics with Applications

157

View full text Add to dashboard Cite

show abstract

“…From a physical standpoint, the use of more elaborate subgrid-scale models than the standard Smagorinsky model we implemented would be desirable. On-going research founded on the same mesoscopic point of view as the LBM might provide advances on this issue [30]. From a computational standpoint, porting grid refinement techniques to the GPU would be of highest practical interest and we plan to add such a feature to our framework in near future.…”

Section: Flow Around Nine Cubesmentioning

confidence: 99%

Towards aeraulic simulations at urban scale using the lattice Boltzmann method

et al. 2014

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International audienceThe lattice Boltzmann method (LBM) is an innovative approach in computational fluid dynamics (CFD). Due to the underlying lattice structure, the LBM is inherently parallel and therefore well suited for high performance computing. Its application to outdoor aeraulic studies is promising, e.g. applied on complex urban configurations, as an alternative approach to the commonplace Reynolds-averaged Navier-Stokes and large eddy simulation methods based on the Navier-Stokes equations. Emerging many-core devices, such as graphic processing units (GPUs), nowadays make possible to run very large scale simulations on rather inexpensive hardware. In this paper, we present simulation results obtained using our multi-GPU LBM solver. For validation purpose, we study the flow around a wall-mounted cube and show agreement with previously published experimental results. Furthermore, we discuss larger scale flow simulations involving nine cubes which demonstrate the practicability of CFD simulations in building external aeraulics

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“…In the context of LBM applied to turbulent flows, there have been some notable work on some fundamental and complex flows using LES [1][2][3][4][5][6][7][8][9][10][11], following the pioneering work by Hou et al [12], who successfully incorporated the Smagorinsky subgrid model [13] to the LBM framework. However, investigations involving the application of LBM for LES on the GPU are still at an early stage, and further evaluation of its accuracy and efficiency is necessary.…”

Section: Introductionmentioning

confidence: 99%

The Lattice Boltzmann Method Implemented on the GPU to Simulate the Turbulent Flow Over a Square Cylinder Confined in a Channel

Koda

Lien

2014

Flow Turbulence Combust

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The lattice Boltzmann method (LBM) is a relatively new method for fluid flow simulations, and is recently gaining popularity due to its simple algorithm and parallel scalability. Although the method has been successfully applied to a wide range of flow physics, its capabilities in simulating turbulent flow is still under-validated. Hence, in this paper, a 3D LBM code was developed to investigate the validity of the LBM for turbulent flow simulations through large eddy simulations (LES). A GPU enabled LBM code was developed, and validated against a benchmark test case involving the flow over a square cylinder in square channel. The flow results showed good agreement with literature, and speedups of over 150 times were observed when two GPUs were used in parallel. Turbulent flow simulations were then conducted using LES with the Smagorinsky subgrid model. The methodology was first validated by computing the fully developed turbulent channel flow, and comparing the results against direct numerical simulation results. The results were in good agreement despite the relatively coarse grid. The code was then used to simulate the turbulent flow over a square cylinder confined in a channel. In order to emulate a realistic inflow at the channel inlet, an auxiliary simulation consisting of a fully developed turbulent channel flow was run in conjunction, and its velocity profile was used to enforce the inlet boundary condition for the cylinder flow simulation. Comparison of the results with experimental and numerical results revealed that the presence of the turbulent flow structures at the inlet can significantly influence the resulting flow field around the cylinder.

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Toward advanced subgrid models for Lattice-Boltzmann-based Large-eddy simulation: Theoretical formulations

Cited by 76 publications

References 28 publications

A D3Q27 multiple-relaxation-time lattice Boltzmann method for turbulent flows

A D3Q27 multiple-relaxation-time lattice Boltzmann method for turbulent flows

Towards aeraulic simulations at urban scale using the lattice Boltzmann method

The Lattice Boltzmann Method Implemented on the GPU to Simulate the Turbulent Flow Over a Square Cylinder Confined in a Channel

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