Aghora: A High-Order DG Solver for Turbulent Flow Simulations

Renac, Florent; Plata, Marta de la Llave; Martin, E. Dale; Chapelier, Jean-Baptiste; Couaillier, Vincent

doi:10.1007/978-3-319-12886-3_15

Cited by 45 publications

(38 citation statements)

References 37 publications

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“…Considering now the ease of implementation, it is interesting to note that the complexity of computing the residuals corresponding to the refined polynomial space S p+1 h will depend on the numerical implementation of the CFD method. In the case of the Aghora solver, 32 this required the computation and storage of the basis functions for S p+1 h as well as their derivatives on the corresponding set of quadrature points. In general, important modifications of the employed CFD solver might be required to achieve a computationally efficient implementation of this method.…”

Section: Implementation Issues and Computational Costmentioning

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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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: Implementation Issues and Computational Costmentioning

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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show abstract

“…However, with the increase in computing power, LES is becoming a feasible technique to underpin the complexity of challenging industrial flows at high-Reynolds numbers, and spectral element methods (also referred to as spectral/hp methods, briefly SEM) are a competitive candidate to improve the performance of the overall computer-aided workflow [45]. In fact, the adoption of SEM in the context of LES, including the use of continuous Galerkin (CG) methods [28,30], standard discontinuous Galerkin (DG) methods [5,21,22,35,47,57,69,73], hybridized DG methods [16,17], spectral difference (SD) methods [33,54] and flux reconstruction (FR) methods [53,70], is emerging as a promising approach to solve complex turbulent flows. First, they allow for high-order discretizations on complex geometries and unstructured meshes.…”

Section: Introductionmentioning

confidence: 99%

Non-modal analysis of spectral element methods: Towards accurate and robust large-eddy simulations

Fernández

Moura

Mengaldo

et al. 2019

Computer Methods in Applied Mechanics and Engineering

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“…A natural alternative to the classical LES approach is therefore to use the numerical dissipation of the discretization scheme to account for the dissipation that takes place in the unresolved scales, leading to the so-called Implicit LES (ILES). The ILES approach was first introduced in 1990 by Boris et al [3] and has been successfully applied with a number of different schemes, including finite volume methods [13,15,16], standard [19] and compact [17,46] finite difference methods, spectral difference methods [50], spectral/hp element methods [24], flux reconstruction methods [36], and discontinuous Galerkin methods [12,33,40,47,48,49]. ILES benefits from its easy implementation without a SGS model and currently gains considerable attention from researchers in the computational fluid dynamics community.…”

Section: Introductionmentioning

confidence: 99%

“…At present, ILES of transitional flows using high-order DG methods is limited to Reynolds numbers of 100,000 or less [12,33,40,47,48,49]. It may be attributed to the fact that higher Reynolds number flows would require significantly more computational effort than standard DG methods could afford in most current computing clusters.…”

Section: Introductionmentioning

confidence: 99%

The hybridized Discontinuous Galerkin method for Implicit Large-Eddy Simulation of transitional turbulent flows

Fernández

Nguyen

Peraire

2017

Journal of Computational Physics

102

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We present a high-order Implicit Large-Eddy Simulation (ILES) approach for simulating transitional aerodynamic flows. The approach consists of a hybridized Discontinuous Galerkin (DG) method for the discretization of the Navier-Stokes (NS) equations, and a parallel preconditioned Newton-GMRES solver for the resulting nonlinear system of equations. The combination of hybridized DG methods with an efficient solution procedure leads to a high-order accurate NS solver that is competitive to alternative approaches, such as finite volume and finite difference codes, in terms of computational cost. The proposed approach is applied to transitional flows over the NACA 65-(18)10 compressor cascade and the Eppler 387 wing at Reynolds numbers up to 460,000. Grid convergence studies are presented and the required resolution to capture transition at different Reynolds numbers is investigated. Numerical results show rapid convergence and excellent agreement with experimental data. In short, this work aims to demonstrate the potential of high-order ILES for simulating transitional aerodynamic flows. This is illustrated through numerical results and supported by theoretical considerations.

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Aghora: A High-Order DG Solver for Turbulent Flow Simulations

Cited by 45 publications

References 37 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

Non-modal analysis of spectral element methods: Towards accurate and robust large-eddy simulations

The hybridized Discontinuous Galerkin method for Implicit Large-Eddy Simulation of transitional turbulent flows

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