Effect of von Karman length scale in scale adaptive simulation approach on the prediction of supersonic turbulent flow

Xu, Chang-Yue; Zhang, Tong; Yu, Yuanyuan; Sun, Jiasen

doi:10.1016/j.ast.2019.01.030

Cited by 22 publications

(13 citation statements)

References 26 publications

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“…where κ is the von Kármán constant and it is usually equal to 0.41 according to Xu et al [27], L νK is a three-dimensional generalization of the boundary layer definition considering a von Kármán length-scale, with…”

Section: Scale Adaptive Simulation (Sas)mentioning

confidence: 99%

Scale-Adaptive Simulation of Unsteady Cavitation Around a Naca66 Hydrofoil

et al. 2019

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The present paper focuses on the numerical simulation of unsteady cavitation around a NACA66 hydrofoil to improve the understanding of the cavitation effects on hydraulic machinery. For this aim, the Zwart–Gerber–Belamri cavitation model was updated and uploaded as a library file for OpenFOAM’s solvers using C++ language. Furthermore, the hybrid Reynold average Navier–Stokes (RANS)–large eddy simulation (LES) model k - ω SST scale adaptive simulation (SAS) was implemented as a turbulence model for the present study of scale adaptive simulation. For validation, numerical results were compared with experimental results obtained by Leroux at the Naval Academy Research Institute in France. In order to highlight the benefits in terms of computational consumption and reproduction of the phenomenon the k - ω SST SAS model was compared against implicit large eddy simulation (ILES). Results show that the cavitation evolution including the maximum vapor length, the detachment and the oscillation frequency were reproduced satisfactorily using k - ω SST SAS. Moreover, k - ω SST SAS results predicted a lower total vapor volume on time than ILES, which is related to observed pulses of pressure coefficient, C p , and those match fairly well with the experimental results. To summarize, the k - ω SST SAS model predicts with good accuracy unsteady cavitation behavior around hydrofoils and shows improved versatility over the ILES approach.

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Section: Scale Adaptive Simulation (Sas)mentioning

confidence: 99%

Scale-Adaptive Simulation of Unsteady Cavitation Around a Naca66 Hydrofoil

et al. 2019

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“…k-ω SST SAS is a hybrid turbulence model and the viscous stress tensor τ᾿ ij is calculated with equation (1) [16].…”

Section: Scale Adaptive Simulation (Sas)mentioning

confidence: 99%

“…where μ T is the turbulent viscosity coefficient and 𝑆 ¯𝑖𝑗 is the strain rate tensor. The von Karman length scale L vK is used to modify the length scale in SAS turbulence model as equation ( 2) [16], [17]. κ is the von Karman constant 0.41 [16], and k is another subscript for space [12].…”

Section: Scale Adaptive Simulation (Sas)mentioning

confidence: 99%

2D structured mesh for simulations of unsteady cavitation around a plane convex hydrofoil

Puga

Hidalgo

Luo

2022

J. Phys.: Conf. Ser.

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The present paper focuses on the influence of the mesh for simulations of unsteady cavitation around a plane convex hydrofoil. A two dimensional structured mesh was generated using free software Gmsh. The span wise size of the hydrofoil was 0.02 of the chord length in the computational domain. The numerical simulation was conducted by using the software OpenFOAM with the k-ω SST SAS turbulence model and the Zwart-Gerber-Belamri cavitation model. The results show that the present numerical method including two dimensional mesh strategy and the SAS turbulence model efficiently represents the unsteady cavitation behaviour around the plane convex hydrofoil, and reproduces the maximum cavity length and the cavitation oscillation compared with the experimental data and the numerical results simulated by implicit LES in a characteristic cycle.

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“…The viscous stress tensor 𝜏′ 𝑖𝑗 in the k-ω SST SAS turbulence model [8] is calculated as equation (1).…”

Section: Scale Adaptive Simulation (Sas)mentioning

confidence: 99%

Mesh dependence analysis for simulating unsteady cavitation around a plane convex hydrofoil

Puga

Escaler²,

Hidalgo

et al. 2022

IOP Conf. Ser.: Earth Environ. Sci.

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The mesh significantly influences the quality of the numerical results in computational fluid dynamics (CFD) problems due to its correlation with turbulence models. In the present paper a structured mesh was generated using Gmsh and two semi-structured meshes were generated using snappyHexMesh to determine the suitable mesh distribution for simulating unsteady cavitation around a plane convex hydrofoil. The numerical simulation was conducted by using the software OpenFOAM with the k-ω SST SAS turbulence model and the Zwart-Gerber-Belamri (ZGB) cavitation model. Besides, the experimental results obtained by the Laboratory for Hydraulic Machines of École Polytechnique Fédérale de Lausanne were used to validate the numerical results. The results showed that both structured and semi-structured meshes predicted the cavitation pattern and the maximum cavity length. The semi-structured mesh with suitable refinement reproduced in detail the dynamic behavior of unsteady cavitation, while the structured mesh efficiently reproduced the phenomenon.

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Effect of von Karman length scale in scale adaptive simulation approach on the prediction of supersonic turbulent flow

Cited by 22 publications

References 26 publications

Scale-Adaptive Simulation of Unsteady Cavitation Around a Naca66 Hydrofoil

Scale-Adaptive Simulation of Unsteady Cavitation Around a Naca66 Hydrofoil

2D structured mesh for simulations of unsteady cavitation around a plane convex hydrofoil

Mesh dependence analysis for simulating unsteady cavitation around a plane convex hydrofoil

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