Dynamic models for Large Eddy Simulation of compressible flows with a high order DG method

Abbà, Antonella; Bonaventur, L.; Nini, Michele; Restelli, Marco

doi:10.1016/j.compfluid.2015.08.021

Cited by 39 publications

(91 citation statements)

References 55 publications

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“…We describe here the anisotropic dynamic model introduced in [2] and extended to the compressible flows case in [1]. The main characteristic of this anisotropic model is that it overcomes the limitation of the alignment between the subgrid flux tensors and the corresponding gradients, introducing tensorial proportionality coefficients between the two.…”

Section: A3 the Anisotropic Dynamic Modelmentioning

confidence: 99%

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Large Eddy Simulation of gravity currents with a high order DG method

Bassi

Abbà

Bonaventura

et al. 2017

Communications in Applied and Industrial Mathematics

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This work deals with Direct Numerical Simulations (DNS) and Large Eddy Simulations (LES) of a turbulent gravity current in a gas, performed by means of a Discontinuous Galerkin (DG) Finite Elements method employing, in the LES case, LES-DG turbulence models previously introduced by the authors. Numerical simulations of non-Boussinesq lock-exchange benchmark problems show that, in the DNS case, the proposed method allows to correctly reproduce relevant features of variable density gas flows with gravity. Moreover, the LES results highlight, also in this context, the excessively high dissipation of the Smagorinsky model with respect to the Germano dynamic procedure.

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Section: A3 the Anisotropic Dynamic Modelmentioning

confidence: 99%

“…The coefficient B ijrs is dinamically computed following the procedure described in [1]. B ijrs is rewritten as:…”

Section: A3 the Anisotropic Dynamic Modelmentioning

confidence: 99%

Large Eddy Simulation of gravity currents with a high order DG method

Bassi

Abbà

Bonaventura

et al. 2017

Communications in Applied and Industrial Mathematics

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“…The compact high-order VMS-LES formulations are mostly based on modal discontinuous Galerkin (DG) [8,10,11] and on nodal spectral element [12,13] methods. Our aim is to present a unifying formulation, allowing the extension of the VMS-LES method to a vast family of compact nodal schemes, represented by the recent flux reconstruction (FR) method, first introduced by Huynh [14,15] on one-dimensional (1D) and tensor-product (TP) elements.…”

Section: Introductionmentioning

confidence: 99%

A high-order multiscale approach to turbulence for compact nodal schemes

Navah

Plata

Couaillier

2020

Computer Methods in Applied Mechanics and Engineering

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This article presents a formulation that extends the variational multiscale modelling for compressible large-eddy simulation to a vast family of compact nodal numerical methods represented by the high-order flux reconstruction scheme. The theoretical aspects of the proposed formulation are laid down via rigorous mathematical derivations which clearly expose the underlying assumptions and approximations and provide sufficient details for accurate reproduction of the methodology. The final form is assessed on a Taylor-Green vortex benchmark with Reynolds number of 5000 and compared to filtered direct numerical simulation data. These numerical experiments exhibit the important role of sufficient de-aliasing, appropriate amount of upwinding from Roe's numerical flux and large/small scale partition, in achieving better agreement with reference data, especially on coarse grids, when compared to the baseline implicit large-eddy simulation.

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“…A number of DG simulations of this configuration at Re b = 2800 and 10 595 have been reported in the recent literature (see e.g. [19,26,33]). Here, we extend the study by also considering the higher Reynolds numbers Re b = 19 000 and 37 000.…”

Section: Introductionmentioning

confidence: 99%

“…Marek et al [32] have performed an LES of an incompressible free round jet at Re D = 20 000 using an eddy-viscosity approach. Abbà et al [33] have developed an anisotropic dynamic model in the context of a high-order DG method for compressible LES. To this end, the authors exploit the hierarchical nature of the FE basis to define the grid and test filters via projection operators.…”

Section: Introductionmentioning

confidence: 99%

On the use of a high-order discontinuous Galerkin method for DNS and LES of wall-bounded turbulence

2018

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We assess the performance of a high-order discontinuous Galerkin (DG) approach to simulate wall-bounded turbulent flows for a range of Reynolds numbers. First, a plane channel flow configuration with turbulent heat transfer at Re τ = 640 is considered. Second, a detached flow configuration is investigated. This configuration represents the flow over periodically arranged hills. Four bulk Reynolds numbers Re b are considered: 2 800, 10 595, 19 000, and 37 000. For Re b = 2 800 direct numerical simulation (DNS) is used. Large-eddy simulations (LES) based on the WALE subgrid-scale model are carried out for the higher Re b . The simulation results are compared to reference data from CFD and experiment. hp-convergence analyses are performed which demonstrate the superior performance of increasing the polynomial order as compared to refining the mesh. It appears from this work that the use of a subgrid modelling approach together with local hp-adaptation could greatly improve the accuracy of the solution without penalising the computational cost of the simulation.

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Dynamic models for Large Eddy Simulation of compressible flows with a high order DG method

Cited by 39 publications

References 55 publications

Large Eddy Simulation of gravity currents with a high order DG method

Large Eddy Simulation of gravity currents with a high order DG method

A high-order multiscale approach to turbulence for compact nodal schemes

On the use of a high-order discontinuous Galerkin method for DNS and LES of wall-bounded turbulence

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