A locally p-adaptive approach for Large Eddy Simulation of compressible flows in a DG framework

Tugnoli, Matteo; Abbà, Antonella; Bonaventura, Luca; Restelli, Marco

doi:10.1016/j.jcp.2017.08.007

Cited by 29 publications

(50 citation statements)

References 61 publications

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“…(15) based on the momentum density in one direction and employed this estimator as a refinement indicator. Tumolo et al 1,31,41,42 used this refinement indicator for the simulation of various CFD configurations. Following their approach, we define the spectral decay indicator as:…”

Section: Iiia2 the Spectral Decay Indicatormentioning

confidence: 99%

“…On the other hand DE and feature-based indicators have already been successfully applied to LES. 1,15,30,31 However, to the best of the authors' knowledge, there have been no attempts to extend and assess the efficiency of RE-based indicators for LES/DNS. This analysis marks the beginning of an extended comparison of different refinement indicators.…”

Section: Introductionmentioning

confidence: 99%

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A comparison of refinement indicators for p-adaptive discontinuous Galerkin methods for the Euler and Navier-Stokes equations

Naddei¹,

Plata²,

Couaillier³

2018

2018 AIAA Aerospace Sciences Meeting

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This paper presents an analysis of refinement indicators for the numerical solution of the Euler and the Navier-Stokes equations using a p-adaptive discontinuous Galerkin (DG) method. Residual error, discretization error and feature-based indicators are studied in the context of p-adaptive DG simulations of two inviscid flow configurations, namely, the flow over a Gaussian bump and the flow past a circular cylinder. As expected, the superiority of local p-refinement as compared to uniform p-refinement is clearly observed. The results obtained highlight the efficiency of the considered refinement indicators with respect to an indicator based on the local entropy error. In particular, they identify regions where numerical errors are being produced and not those where errors are being convected. Finally the p-adaptive algorithm is applied to the simulation of the laminar flow past a circular cylinder at Re = 40. The great potential of the spectral decay 1 and VMS 2 indicators, which combine accuracy and computational efficiency, is also demonstrated.

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Section: Iiia2 the Spectral Decay Indicatormentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A comparison of refinement indicators for p-adaptive discontinuous Galerkin methods for the Euler and Navier-Stokes equations

Naddei¹,

Plata²,

Couaillier³

2018

2018 AIAA Aerospace Sciences Meeting

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“…The subgrid kinetic energy flux in equation (38) τ (u i , u k , u k ) is then modeled as a function of the gradient of the resolved kinetic energy:…”

Section: A2 the Germano 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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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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“…The numerical implementation of the previously sketched approach is built in the solver dg-comp using the finite elements toolkit FEMilaro [7]. A first attempt to introduce static p-adaptivity in a DG-LES framework has been presented in [10]. In order to overcome the limitations of classical error estimations in LES, a novel indicator based on the classical structure function…”

mentioning

confidence: 99%

“…For this reason, the contribution due to homogeneous isotropic turbulence is removed from the structure function (7). This contribution, as discussed in detail in [10], can be written as…”

mentioning

confidence: 99%

Dynamical Degree Adaptivity for DG-LES Models

Tugnoli

Abbà

Bonaventura

2020

Lecture Notes in Computational Science and Engineering

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Discontinuous Galerkin spatial discretizations of compressible flows allow to perform local degree adaptation (shortly, p-adaptation) in a very straightforward way and almost without computational overhead, as shown e.g. in [6]. Dynamical adaptation was also applied successfully to inviscid geophysical flows in [11, 12]. All the previous works relied however on a refinement criterion which essentially estimates the L 2 norm approximation error. In [10], we have argued that such a criterion may not be optimal for LES and we have proposed a different, physically based criterion that was shown to be more effective in a number of numerical experiments. The goal of this work, which summarizes some of the results presented in [9], is to extend the above approach to dynamical adaptation and to test the new criterion also in a dynamically adaptive framework. 2 The DG-LES Approach and Its Numerical Implementation The DG-LES model for compressible flows employed in this work, based on a Local Discontinuous Galerkin (LDG) discretization of the viscous terms [3], is fully described in [1], to which we refer for all the details on the model

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A locally p-adaptive approach for Large Eddy Simulation of compressible flows in a DG framework

Cited by 29 publications

References 61 publications

A comparison of refinement indicators for p-adaptive discontinuous Galerkin methods for the Euler and Navier-Stokes equations

A comparison of refinement indicators for p-adaptive discontinuous Galerkin methods for the Euler and Navier-Stokes equations

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

Dynamical Degree Adaptivity for DG-LES Models

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