Taylor-Green vortex simulation using CABARET scheme in a weakly compressible formulation

Kulikov, Yu. M.; Сон, Э. Е.

doi:10.1140/epje/i2018-11645-4

Cited by 7 publications

(3 citation statements)

References 29 publications

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“…After the dissipation peak, the coherent eddies are deformed and destroyed leading to the developed turbulent flow, which starts to mix and decay from T ≈ 12 (Figure 3d). The similar analysis given in [23] may be cited as a first qualitative validation of the present results.…”

Section: Taylor-green Vortexsupporting

confidence: 82%

A Semi-Langrangian Vortex Penalization Method for 3D Incompressible Flows

sci¹

2019

JMS

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A remeshed Vortex method is proposed in this work to simulate threedimensional incompressible flows. The convection equation is solved on particles, using a Vortex method, which are then remeshed on a Cartesian underlying grid. The other differential operators involved in the governing incompressible Navier-Stokes equations are discretized on the grid, through finite differences method or in spectral space. In the present work, the redistribution of the particles on the Cartesian mesh is performed using a directional splitting, allowing to save significant computational efforts especially in the case of 3D flows. A coupling of this semi-Lagrangian method with an immersed boundary method, namely the Brinkman penalization technique, is proposed in this paper in order to efficiently take into account the presence of solid and porous obstacles in the fluid flow and then to perform passive flow control using porous medium. This method, which combines the robustness of particle methods and the flexibility of penalization method, is validated and exploited in the context of different flow physics.

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Section: Taylor-green Vortexsupporting

confidence: 82%

A Semi-Langrangian Vortex Penalization Method for 3D Incompressible Flows

sci¹

2019

JMS

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“…Wiart and Hillewaert used the Taylor-Green benchmark on the discontinuous-Galerkin solver Argo using different kinds of meshes [85]. Kulikov and Son used the Taylor-Green test for assessing the performance of the CABARET scheme for under-resolved simulations [86]. Lee et al used the benchmark for their low-dissipation solver based on OpenFOAM [87].…”

Section: Three-dimensional Taylor-green Vortexmentioning

confidence: 99%

Under-resolved and large eddy simulations of a decaying Taylor–Green vortex with the cumulant lattice Boltzmann method

Geier

Lenz

Schönherr

et al. 2020

Theor. Comput. Fluid Dyn.

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We present a comprehensive analysis of the cumulant lattice Boltzmann model with the three-dimensional Taylor–Green vortex benchmark at Reynolds number 1600. The cumulant model is investigated in several different variants, using regularization, fourth-order convergent diffusion and fourth-order convergent advection with and without limiters. In addition, a cumulant model combined with a WALE sub-grid scale model is being evaluated. The turbulence model is found to filter out the high wave number contributions from the energy spectrum and the enstrophy, while the non-filtered cumulant methods show good correspondence to spectral simulations even for the high wave numbers. The application of the WALE turbulence model appears to be counter productive for the Taylor–Green vortex at a Reynolds number of 1600. At much higher Reynolds numbers ($${\hbox {Re}}=160{,}000$$ Re = 160 , 000 ) a deviation from the ideal Kolmogorov theory can be observed in the absence of an explicit turbulence model. Cumulant models with fourth-order convergent diffusion show much better results than single relaxation time methods.

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“…In [56] the characteristics of a double layer on a uniform mesh, as well as its stratified [57,58] counterpart were investigated. A three-dimensional implementation of this model was used to simulate Taylor-Green vortex [59] evolution, instability and turbulence in thermoviscous channel flow [60][61][62].…”

Section: Cabaret Coveragementioning

confidence: 99%

Double shear layer evolution on the non-uniform computational mesh

Kulikov¹,

Son²

2021

Phys. Scr.

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This paper considers the problem of a thin shear layer evolution at Reynolds number rmRe = 400000 using the novel Compact Accurately Boundary Adjusting high-Resolution Technique (CABARET). The study is focused on the effect of the specific mesh refinement in the high shear rate areas on the flow properties under the influence of the developing instability. The original sequence of computational meshes (2562, 5122, 10242, 20482 cells) is modified using an iterative refinement algorithm based on the hyperbolic tangent. The properties of the solutions obtained are discussed in terms of the initial momentum thickness and the initial vorticity thickness, viscous and dilatational dissipation rates and also integral enstrophy. The growth rate for the most unstable mode depending on the mesh resolution is considered. In conclusion the accuracy of calculated mesh functions is estimated via L 1, L 2, L ∞ norms.

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Taylor-Green vortex simulation using CABARET scheme in a weakly compressible formulation

Cited by 7 publications

References 29 publications

A Semi-Langrangian Vortex Penalization Method for 3D Incompressible Flows

A Semi-Langrangian Vortex Penalization Method for 3D Incompressible Flows

Under-resolved and large eddy simulations of a decaying Taylor–Green vortex with the cumulant lattice Boltzmann method

Double shear layer evolution on the non-uniform computational mesh

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