Assessment of alternative scale-providing variables in a Reynolds-stress model using high-order methods

Fu, Xilin; Deng, Xiaogang

doi:10.1007/s10409-022-22151-x

Cited by 3 publications

(1 citation statement)

References 43 publications

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“…[37] Although they are both high-resolution discretization schemes, they are more complex than the MUSCL scheme. [38][39][40] The MUSCL scheme is a simple spatial discretization scheme, which is very popular among researchers.…”

Section: Methodsmentioning

confidence: 99%

Application of shifted lattice model to 3D compressible lattice Boltzmann method

Hao-Yu

Jin

et al. 2023

Chinese Phys. B

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In this paper, an additional potential energy distribution function is introduced on the basis of previous D3Q25 model, and the equilibrium distribution function of D3Q25 is obtained by spherical function. A novel 3D shifted lattice model is proposed, based on this finding, the shifted lattice model is introduced to D3Q25. Under the finite volume scheme, several typical compressible calculation examples are used to verify whether the numerical stability of the D3Q25 model can be improved by adding the shifted lattice model. The simulation results show that the numerical stability is improved by adding the shifted lattice model.

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Section: Methodsmentioning

confidence: 99%

Application of shifted lattice model to 3D compressible lattice Boltzmann method

Hao-Yu

Jin

et al. 2023

Chinese Phys. B

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A wall-boundary-natural transitional Reynolds-stress model for high-order wing-body simulations

Wang,

et al. 2024

Physics of Fluids

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The precise simulation of full-size wing-body configuration in real flight conditions is still a challenge in computational fluid dynamics in which transition and flow separation are the most crucial issues. To predict these problems robustly by high-order numerical methods, this paper proposes a new transitional Reynolds-stress model, which combines λ-scale (λ=τ8)-based SSG (Speziale, Sarkar, and Gatski)/LRR (Launder, Reece, and Rodi) model with γ−Reθt transition model. Compared with the ω-scale, the λ-scale variable has a natural boundary condition on the wall (helpful for numerical stability) and avoids an additional modification during the transition from laminar to turbulent flow. The T3 series plates with/without pressure gradient, 30P-30N multi-element airfoil, and DLR (German Aerospace Center) 6:1 prolate spheroid are carried out to validate the reliability of the new nine-equation transition model. Furthermore, the new model is applied to the analysis of National Aeronautics and Space Administration juncture flow . Numerical results show that the new transitional model has an obvious advantage in the prediction of Reynolds stresses over the traditional γ−Reθt SST(shear stress transport) k−ω (k is the turbulence kinetic energy, ω is the specific dissipation rate) model, and then, more physical junction separation as well as transition onset can be obtained.

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WCNS schemes and some recent developments

Chen,

Deng

2024

Adv. Aerodyn.

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Weighted compact nonlinear schemes (WCNS) are a family of nonlinear shock capturing schemes that are suitable for solving problems with discontinuous solutions. The schemes are based on grids staggered by flux points and solution points, resulting in algorithms with the nonlinear interpolation step independent of the difference step. Thus, only linear difference operators are needed, such that geometric conservation law can be preserved easily, resulting in the preservation of freestream condition. In recent years, these schemes have attracted a lot of attention in the community of computational fluid dynamics. This paper intends to give a brief review of the basic algorithms of these schemes and present some related recent developments.

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Assessment of alternative scale-providing variables in a Reynolds-stress model using high-order methods

Cited by 3 publications

References 43 publications

Application of shifted lattice model to 3D compressible lattice Boltzmann method

Application of shifted lattice model to 3D compressible lattice Boltzmann method

A wall-boundary-natural transitional Reynolds-stress model for high-order wing-body simulations

WCNS schemes and some recent developments

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