Simulation of homogeneous turbulent shear flows at higher Reynolds numbers: numerical challenges and a remedy

Sukheswalla, Parvez; Vaithianathan, T.; Collins, Lance R.

doi:10.1080/14685248.2013.817677

Cited by 7 publications

(16 citation statements)

References 58 publications

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“…This interpretation is confirmed in Figure 18(a) of [26] where the non-filtered kinetic energy is displayed and evolves with a growth rate somewhat higher to those of filtered kinetic energies. In addition, one can note that the unfiltered value of S * from [26], reported in Figure 10(a), would give a value not far from our S * = 20 at a higher St. For the other S * reported from [30,31], the (St) max is to low to conclude. The resolution of small scales has consequently an influence on the results, but small compared to the importance of the final St discussed earlier.…”

Section: Scattering Of Integrated Quantities In Shear-driven Flowssupporting

confidence: 72%

“…In [26,30,31,48], the final value of S * seems to (still) depend on the initial conditions. This is not necessarily in contradiction with our EDQNM results, as revealed in Figure 10(a), where the shear parameter S * = 2/S R is displayed for various initial S * (0).…”

Section: Scattering Of Integrated Quantities In Shear-driven Flowsmentioning

confidence: 89%

“…Another point of interest in the DNS [26,31] is that the average value of the γ seems slightly higher (with a maximum of 0.2 in [31]) than older ones, very likely because of the better resolution of small scales. For instance, in [26] small scales had to be filtered.…”

Section: Scattering Of Integrated Quantities In Shear-driven Flowsmentioning

confidence: 97%

“…Recent DNS studies [26,30,31,48] have focused on the influence of initial parameters, such as the Reynolds number Re λ (0) or the shear parameter S * (0) on the final state of the flow. Notably, it is reported that there is a tendency toward an almost independence with regard to Re λ (0) and a noteworthy sensitivity to S * (0).…”

Section: Scattering Of Integrated Quantities In Shear-driven Flowsmentioning

confidence: 99%

“…For instance, in [26] small scales had to be filtered. But, from the present study and the previous work of Clark and Zemach, [45] it appears that large scales are not determinant in the final value of γ , which is found to be independent of σ .…”

Section: Scattering Of Integrated Quantities In Shear-driven Flowsmentioning

confidence: 99%

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Decay and growth laws in homogeneous shear turbulence

Briard

Gomez²,

Mons

et al. 2016

Journal of Turbulence

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International audienceHomogeneous anisotropic turbulence has been widely studied in the past decades, both numerically and experimentally. Shear flows have received a particular attention because of the numerous physical phenomena they exhibit. In the present paper, both the decay and growth of anisotropy in homogeneous shear flows at high Reynolds numbers are revisited thanks to a recent eddy-damped quasi-normal Markovian (EDQNM) closure adapted to homogeneous anisotropic turbulence. The emphasis is put on several aspects: an asymptotic model for the slow-part of the pressure-strain tensor is derived for the return to isotropy process when mean-velocity gradients are released. Then, a general decay law for purely anisotropic quantities in Batchelor turbulence is proposed. At last, a discussion is proposed to explain the scattering of global quantities obtained in DNS and experiments in sustained shear flows: the emphasis is put on the exponential growth rate of the kinetic energy and on the shear parameter

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Section: Scattering Of Integrated Quantities In Shear-driven Flowssupporting

confidence: 72%

Section: Scattering Of Integrated Quantities In Shear-driven Flowsmentioning

confidence: 89%

Section: Scattering Of Integrated Quantities In Shear-driven Flowsmentioning

confidence: 97%

Section: Scattering Of Integrated Quantities In Shear-driven Flowsmentioning

confidence: 99%

Section: Scattering Of Integrated Quantities In Shear-driven Flowsmentioning

confidence: 99%

See 3 more Smart Citations

Decay and growth laws in homogeneous shear turbulence

Briard

Gomez²,

Mons

et al. 2016

Journal of Turbulence

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Incompressible Homogeneous Anisotropic Turbulence: Pure Shear

Sagaut

Cambon

2018

Homogeneous Turbulence Dynamics

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An algorithm for solving the Navier–Stokes equations with shear-periodic boundary conditions and its application to homogeneously sheared turbulence

2017

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Simulations of homogeneously sheared turbulence (HST) are conducted until a universal self-similar state is established at the long non-dimensional time $\unicode[STIX]{x1D6E4}t=20$, where $\unicode[STIX]{x1D6E4}$ is the shear rate. The simulations are enabled by a new robust and discretely conservative algorithm. The method solves the governing equations in physical space using the so-called shear-periodic boundary conditions. Convection by the mean homogeneous shear flow is treated implicitly in a split step approach. An iterative Crank–Nicolson time integrator is chosen for robustness and stability. The numerical strategy captures without distortion the Kelvin modes, rotating waves that are fundamental to homogeneously sheared flows and are at the core of rapid distortion theory. Three direct numerical simulations of HST with the initial Taylor scale Reynolds number $Re_{\unicode[STIX]{x1D706}0}=29$ and shear numbers of $S_{0}^{\ast }=\unicode[STIX]{x1D6E4}q^{2}/\unicode[STIX]{x1D716}=3$, 15 and 27 are performed on a $2048\times 1024\times 1024$ grid. Here, $\unicode[STIX]{x1D716}$ is the dissipation rate and $1/2q^{2}$ is the turbulent kinetic energy. The long integration time considered allows the establishment of a self-similar state observed in experiments but often absent from simulations conducted over shorter times. The asymptotic state appears to be universal with a long time production to dissipation rate ${\mathcal{P}}/\unicode[STIX]{x1D716}\sim 1.5$ and shear number $S^{\ast }\sim 10$ in agreement with experiments. While the small scales exhibit strong anisotropy increasing with initial shear number, the skewness of the transverse velocity derivative decreases with increasing Reynolds number.

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Simulation of homogeneous turbulent shear flows at higher Reynolds numbers: numerical challenges and a remedy

Cited by 7 publications

References 58 publications

Decay and growth laws in homogeneous shear turbulence

Decay and growth laws in homogeneous shear turbulence

Incompressible Homogeneous Anisotropic Turbulence: Pure Shear

An algorithm for solving the Navier–Stokes equations with shear-periodic boundary conditions and its application to homogeneously sheared turbulence

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