An Algebraic Wall-Model for Large Eddy Simulation With the FR/CPR Method

Shi, Jingchang; Yan, Hong; Wang, Zhi Jian

doi:10.2514/6.2018-2092

Cited by 1 publication

(7 citation statements)

References 26 publications

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“…There was no significant difference between other auxiliary conditions. Unlike in the previous study, 19 no deviation was observed with the "No-slip" condition. To better clarify the effect of the auxiliary wall boundary conditions, the mean velocity and velocity gradients below the matching points (y∕𝛿 ≲ 0.1) are compared in Figure 9.…”

Section: Equilibrium Turbulent Channel Flow (Re 𝝉 ≈ 5200)contrasting

confidence: 90%

“…Previous studies have reported deteriorated prediction accuracy and stability due to higher-order polynomial approximations. 14,18,19 Since the WMLES grid does not resolve large velocity gradients in the inner layer, using high-order polynomial approximations for velocity profiles often causes large oscillations, 14 leading to errors and instability. In high-order finite difference methods, the velocity gradient is usually evaluated by a low-order one-sided difference scheme.…”

Section: Introductionmentioning

confidence: 99%

“…Recently, changing the boundary conditions has been suggested to improve stability. 16,19,22 Some studies 16,19 employed the slip wall boundary condition to reduce the oscillation in under-resolved regions. Singh et al 22 investigated the stability of the dynamic slip wall model based on kinetic energy stability estimation.…”

Section: Introductionmentioning

confidence: 99%

“…Because the data sets in each cell are compact and data communication over the cell interface is minimal, these methods are very suitable for massively parallel computations. The WMLES approach can also be applied to high‐order DFEMs, and several studies have been done in References 13–20. Previous studies have reported deteriorated prediction accuracy and stability due to higher‐order polynomial approximations 14,18,19 .…”

Section: Introductionmentioning

confidence: 99%

“…The WMLES approach can also be applied to high‐order DFEMs, and several studies have been done in References 13–20. Previous studies have reported deteriorated prediction accuracy and stability due to higher‐order polynomial approximations 14,18,19 . Since the WMLES grid does not resolve large velocity gradients in the inner layer, using high‐order polynomial approximations for velocity profiles often causes large oscillations, 14 leading to errors and instability.…”

Section: Introductionmentioning

confidence: 99%

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On robust boundary treatments for wall‐modeled LES with high‐order discontinuous finite element methods

Fukushima,

Haga

2024

Numerical Methods in Fluids

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SummaryTo robustly and accurately simulate wall‐bounded turbulent flows at high Reynolds numbers, we propose suitable boundary treatments for wall‐modeled large‐eddy simulation (WMLES) coupled with a high‐order flux reconstruction (FR) method. First, we show the need to impose an auxiliary boundary condition on auxiliary variables (solution gradients) that are commonly introduced in high‐order discontinuous finite element methods (DFEMs). Auxiliary boundary conditions are introduced in WMLES, where the grid resolution is too coarse to resolve the inner layer of a turbulent boundary layer. Another boundary treatment to further enhance stability with under‐resolved grids, is the use of a modal filter only in the wall‐normal direction of wall‐adjacent cells to remove the oscillations. A grid convergence study of turbulent channel flow with a high Reynolds number () shows that the present WMLES framework accurately predicts velocity profiles, Reynolds shear stress, and skin friction coefficients at the grid resolutions recommended in the literature. It was confirmed that a small amount of filtering is sufficient to stabilize computation, with negligible influence on prediction accuracy. In addition, non‐equilibrium periodic hill flow with a curved wall, including flow separation, reattachment, and acceleration at a high Reynolds number (), is reported. Considering stability and the prediction accuracy, we recommend a loose auxiliary wall boundary conditions with a less steep velocity gradient for WMLES using high‐order DFEMs.

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Section: Equilibrium Turbulent Channel Flow (Re 𝝉 ≈ 5200)contrasting

confidence: 90%