On stability of channel flow of thermoviscous fluid

Kulikov, Yu. M.; Сон, Э. Е.

doi:10.1134/s0869864317060075

Cited by 3 publications

(1 citation statement)

References 12 publications

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“…The features of this model were described in [55]. 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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Section: Cabaret Coveragementioning

confidence: 99%

Double shear layer evolution on the non-uniform computational mesh

Kulikov¹,

Son²

2021

Phys. Scr.

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Thermoviscous fluid flow modes in a plane nonisothermal layer

Kulikov

Сон

2018

Thermophys. Aeromech.

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

Kulikov

Сон

2018

Eur. Phys. J. E

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In present paper we recall the canonical Taylor-Green vortex problem solved by in-house implementation of the novel CABARET numerical scheme in weakly compressible formulation. The simulations were carried out on the sequence of refined grids with [Formula: see text], [Formula: see text], [Formula: see text] cells at various Reynolds numbers corresponding to both laminar ([Formula: see text]) and turbulent ([Formula: see text]) vortex decay scenarios. The features of the numerical method are discussed in terms of the kinetic energy dissipation rate and integral enstrophy curves, temporal evolution of the spanwise vorticity, energy spectra and spatial correlation functions.

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On stability of channel flow of thermoviscous fluid

Cited by 3 publications

References 12 publications

Double shear layer evolution on the non-uniform computational mesh

Double shear layer evolution on the non-uniform computational mesh

Thermoviscous fluid flow modes in a plane nonisothermal layer

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

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