Large‐eddy simulation of compressible flows using a spectral multidomain method

Sengupta, Kaustav; Jacobs, Gustaaf; Mashayek, Farzad

doi:10.1002/fld.1959

Cited by 30 publications

(12 citation statements)

References 47 publications

(56 reference statements)

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“…Figure 12 compares the mean velocity profile with the DNS of Moser et al [106] and the experiment of Niederschulte et al [107]. Good comparison with experiment and resolved DNS demonstrates that the LES methodology proposed in [25] is able to predict the flow. Therefore, the dispersed phase computation is started with the above stationary fluid flow field.…”

Section: Les Of Inhomogeneous Shear Flowsmentioning

confidence: 88%

“…Since it does not require an extra transformation, interpolant-projection filtering is more efficient than DPT for methods with nodal basis. This kind of filtering was introduced for a spectral multidomain LES method in [25].…”

Section: Les Formulationmentioning

confidence: 99%

“…Spectral element filtering strategies have been studied in [99,100,23,101,102]. We have recently developed LES methodologies for compressible flows using two discontinuous spectral element methods [24,25]. Detailed description of the methodologies is beyond the scope of this review.…”

Section: Carrier Phase Treated By Lesmentioning

confidence: 99%

“…Single-phase large-eddy simulations of channel flow using spectral element method have been performed by Blackburn and Schmidt [23] and more recently by the authors [25]. In [25], flow at two different Reynolds numbers, Re τ = 180 and Re τ = 570 were investigated.…”

Section: Les Of Inhomogeneous Shear Flowsmentioning

confidence: 99%

“…In [25], flow at two different Reynolds numbers, Re τ = 180 and Re τ = 570 were investigated. A sub-domain distribution of 10 × 10 × 16 was employed in the streamwise, spanwise and wall normal directions for both Reynolds numbers.…”

Section: Les Of Inhomogeneous Shear Flowsmentioning

confidence: 99%

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Spectral-based simulations of particle-laden turbulent flows

Sengupta

Shotorban

Jacobs

et al. 2009

International Journal of Multiphase Flow

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In this paper, we discuss the application of spectral-based methods to simulation of particle-laden turbulent flows. The primary focus of the article is on the past and ongoing works by the authors. The particles are tracked in Lagrangian framework, while direct numerical simulation (DNS) or large-eddy simulation (LES) is used to describe the carrier-phase flow field. Two different spectral methods are considered: Fourier pseudo-spectral method and Chebyshev multi-domain spectral method. The pseudo-spectral method is used for the simulation of homogeneous turbulence. DNS of both incompressible and compressible flows with one-and two-way couplings are reported. For LES of particle-laden flows, two new models, developed by the authors, account for the effect of sub-grid fluctuations on the dispersed phase. The Chebyshev multi-domain method is employed for the authors' works on inhomogeneous flows. A number of canonical flows are discussed, including flow past a square cylinder, channel flow and flow over backward-facing step. Ongoing research on particle-laden LES of inhomogeneous flows is briefly reported.

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Section: Les Of Inhomogeneous Shear Flowsmentioning

confidence: 88%

Section: Les Formulationmentioning

confidence: 99%

Section: Carrier Phase Treated By Lesmentioning

confidence: 99%

Section: Les Of Inhomogeneous Shear Flowsmentioning

confidence: 99%

Section: Les Of Inhomogeneous Shear Flowsmentioning

confidence: 99%

See 3 more Smart Citations

Spectral-based simulations of particle-laden turbulent flows

Sengupta

Shotorban

Jacobs

et al. 2009

International Journal of Multiphase Flow

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Analytical and Chebyshev pseudospectral numerical solutions for a class of axisymmetric horizontal flows dominated by mass or heat sources

Mohammadian

Charron²

2011

Numerical Methods in Fluids

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SUMMARY A class of axisymmetric horizontal flows dominated by strong heat or mass sources are considered here, which systematically arise in multiscale atmospheric and oceanic flows in various spatiotemporal scales such as hurricane embryos. Various linear and nonlinear analytical solutions are proposed, and several examples are given to illustrate them. On the basis of the proposed exact solutions, stability of the flow under various conditions is examined. The proposed exact solutions serve as benchmarks for validation of numerical models. A Chebyshev pseudospectral model is also developed for these flows. The numerical results are compared with the developed analytical solutions as well as a high‐resolution numerical solution, which showed an excellent performance of the numerical model in terms of numerical diffusion and oscillation. The numerical method is also efficient because expensive calculations such as LU decomposition are only needed once, at the beginning of calculations. The model could be used in studying small‐scale and multiple‐scale phenomena such as hot towers and hurricane embryos, which are the subject of future studies. Copyright © 2011 John Wiley & Sons, Ltd.

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Discrete filter operators for large‐eddy simulation using high‐order spectral difference methods

Lodato¹,

Castonguay

Jameson

2012

Numerical Methods in Fluids

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SUMMARYThe combination of a high‐order unstructured spectral difference (SD) spatial discretization scheme with sub‐grid scale (SGS) modeling for large‐eddy simulation is investigated with particular focus on the consistent implementation of a structural mixed model based on the scale similarity hypothesis. The difficult task of deriving a consistent formulation for the discrete filter within the SD element of arbitrary order led to the development of a new class of three‐dimensional constrained discrete filters. The discrete filters satisfy a set of selected criteria and are completely local within the SD element. Their weights can be automatically computed at run time from the number of solution points within each element and the expected filter cutoff length scale. The novel discrete filters can be applied to any SGS model involving explicit filtering and to a broad class of high‐order discontinuous finite element numerical schemes. The code is applied to the computation of turbulent channel flows at three Reynolds numbers, namely Reτ = 180, 395, and 590 (based on the friction velocity uτ and channel half‐width δ). Results from computations with and without the SGS model are compared against results from direct numerical simulation. The numerical experiments suggest that the results are sensitive to the use of the SGS model, even when a high‐order numerical scheme is used, especially when the grid resolution is kept relatively low and mostly in terms of resolved Reynolds stresses. Results obtained using existing filters based on the projection of the solution over lower‐order polynomial bases are also shown and demonstrate that these filters are inadequate for SGS modeling purposes, mostly because of their inability to enforce the selected cutoff length scale with sufficient accuracy. The use of the similarity mixed formulation proved to be particularly accurate in reproducing SGS interactions, confirming that its well‐known potential can be realized in conjunction with state‐of‐the‐art high‐order numerical schemes.Copyright © 2012 John Wiley & Sons, Ltd.

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Large‐eddy simulation of compressible flows using a spectral multidomain method

Cited by 30 publications

References 47 publications

Spectral-based simulations of particle-laden turbulent flows

Spectral-based simulations of particle-laden turbulent flows

Analytical and Chebyshev pseudospectral numerical solutions for a class of axisymmetric horizontal flows dominated by mass or heat sources

Discrete filter operators for large‐eddy simulation using high‐order spectral difference methods

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