Straightforward high-order numerical dissipation via the viscous term for direct and large eddy simulation

Lamballais, Éric; Fortuné, Véronique; Laizet, Sylvain

doi:10.1016/j.jcp.2011.01.040

Cited by 78 publications

(43 citation statements)

References 32 publications

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“…Therefore, we are interested in using a technique developed by Ref. 36 based on high-order numerical dissipation to take into account the dissipation of the unresolved small scales, in a context of implicit large eddy simulations. Validations for this technique with the simulations presented in this paper are currently in progress and comparisons will also be carried out with the experimental data of Ref.…”

Section: Discussionmentioning

confidence: 99%

High-fidelity simulations of the lobe-and-cleft structures and the deposition map in particle-driven gravity currents

et al. 2015

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The evolution of a mono-disperse gravity current in the lock-exchange configuration is investigated by means of direct numerical simulations for various Reynolds numbers and settling velocities for the deposition. We limit our investigations to gravity currents over a flat bed in which density differences are small enough for the Boussinesq approximation to be valid. The concentration of particles is described in an Eulerian fashion by using a transport equation combined with the incompressible Navier-Stokes equations. The most interesting results can be summarized as follows: (i) the settling velocity is affecting the streamwise vortices at the head of the current with a substantial reduction of their size when the settling velocity is increased; (ii) when the Reynolds number is increased the lobe-and-cleft structures are merging more frequently and earlier in time, suggesting a strong Reynolds number dependence for the spatio-temporal evolution of the head of the current; (iii) the temporal imprint of the lobe-and-cleft structures can be recovered from the deposition map, suggesting that the deposition pattern is defined purely and exclusively by the structures at the front of the current.

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Section: Discussionmentioning

confidence: 99%

High-fidelity simulations of the lobe-and-cleft structures and the deposition map in particle-driven gravity currents

et al. 2015

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“…To control the residual aliasing errors, a small amount of numerical dissipation is introduced only at scales very close to the grid cutoff. This very targeted regularization is ensured by the differentiation of the viscous term that is sixth-order accurate (Lamballais et al 2011). The time integration is performed using an explicit third-order Adams-Bashforth scheme with a time step ∆t = 5 × 10 −3 L b /U ∞ .…”

Section: Methodsmentioning

confidence: 99%

Non-equilibrium scaling laws in axisymmetric turbulent wakes

2015

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We present a combined Direct Numerical Simulation and Hot Wire Anemometry study of an axisymmetric turbulent wake. The data lead to a revised theory of axisymmetric turbulent wakes which relies on the mean streamwise momentum and turbulent kinetic energy equations, self-similarity of the mean flow, turbulent kinetic energy, Reynolds shear stress and turbulent dissipation profiles, non-equilibrium dissipation scalings and an assumption of constant anisotropy. This theory is supported by the present data up to a distance of 100 times the wake generator's size which is as far as these data extend.

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“…In order to control the aliasing errors (non-negligible when high-order schemes are used), the viscous term is computed so that it is over-dissipative on a narrow range of scales in the neighbourhood of the cut-off wave number associated with the mesh. More details about this numerical procedure can be found in Lamballais, Fortune, and Laizet (2011). Full details about the code Incompact3d can be found in Laizet and Lamballais (2009).…”

Section: Methodsmentioning

confidence: 99%

Influence of the spatial resolution on fine-scale features in DNS of turbulence generated by a single square grid

Laizet

Nedic

Vassilicos

2015

International Journal of Computational Fluid Dynamics

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We focus in this paper on the effect of the resolution of direct numerical simulations (DNS) on the spatio-temporal development of the turbulence downstream of a single square grid. The aims of this study are to validate our numerical approach by comparing experimental and numerical one-point statistics downstream of a single square grid and then investigate how the resolution is impacting the dynamics of the flow. In particular, using the Q-R diagram, we focus on the interaction between the strain-rate and rotation tensors, the symmetric and skew-symmetric parts of the velocity gradient tensor, respectively. We first show good agreement between our simulations and hot-wire experiment for one-point statistics on the centreline of the single square grid. Then, by analysing the shape of the Q-R diagram for various streamwise locations, we evaluate the ability of under-resolved DNS to capture the main features of the turbulence downstream of the single square grid.

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Straightforward high-order numerical dissipation via the viscous term for direct and large eddy simulation

Cited by 78 publications

References 32 publications

High-fidelity simulations of the lobe-and-cleft structures and the deposition map in particle-driven gravity currents

High-fidelity simulations of the lobe-and-cleft structures and the deposition map in particle-driven gravity currents

Non-equilibrium scaling laws in axisymmetric turbulent wakes

Influence of the spatial resolution on fine-scale features in DNS of turbulence generated by a single square grid

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