Dynamical p−adaptivity for LES of compressible flows in a high order DG framework

Abbà, Antonella; Recanati, Alessandro; Tugnoli, Matteo; Bonaventura, Luca

doi:10.1016/j.jcp.2020.109720

Cited by 15 publications

(9 citation statements)

References 74 publications

(124 reference statements)

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“…After the passage of the vortex (Figure 8(c)) it is evident that the vortex shedding of the statistically steady-state condition is no longer present. A similar behaviour related to the inertial of the flow to restore the vortex shedding above a recirculating bubble after the BVI, has been found also in a different configuration [4]. The highlighted delay of the lift and the moment to recover the steady values is an important result because it can strongly affect the airfoil global performances.…”

Section: Simulation Of Parallel Bvisupporting

confidence: 69%

“…The use of high order numerical method associated with an LES approach not only guarantees a better accuracy of the solution but, furthermore, it does not require any ad hoc technique to prevent the over-diffusion of the vortex. Furthermore the application of the dynamic P-adaptive method developed by [23,4] allows a consistent saving of computational resources without losing accuracy.…”

Section: Introductionmentioning

confidence: 99%

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LDG Method with P-Adaptivity Applied to LES of Blade-Vortex Interaction

Bresciani¹,

Abbà²

2021

14th WCCM-ECCOMAS Congress

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In the present work the Local Discontinuous Galerkin (LDG) method with polynomial adaptivity is applied to the Large Eddy Simulation (LES) of the parallel blade-vortex interaction (BVI). The BVI phenomenon occurs on helicopter and drone rotors in manoeuvring conditions and it produces impulsive changes in the pressure distributions, vibrations and noise. To deeply understand the mechanism of load generation related to the pressure field and three dimensional perturbations growth, to focus on the interaction between the vortex and the three dimensional structures in boundary layer and wake, accurate 3D unsteady numerical simulations of turbulent flows are necessary. For this reason, it is very important the use of a numerical code based on high order schemes such as LDG. Moreover, in the LDG approach, the numerical resolution can be varied on each element and in time, adapting to the requirement of the simulated flow and saving a large amount of computing resources. In the used numerical code the criterion for variation of the polynomial order is based on a refinement indicator especially suited for LES and based on the structure function. The local polynomial representation directly provides a means to separate large from small scale modes, thus providing the starting point for the definition of the subgrid scale models. In the present simulations, the subgrid scales contribution is represented with a sophisticated dynamic anisotropic subgrid model, suitable and well tested for wall resolved LES and complex separated turbulent flows. The BVI is simulated highlighting the effect of the vortex on the pressure distributions, on the boundary layer separation and on the resulting forces.

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Section: Simulation Of Parallel Bvisupporting

confidence: 69%

Section: Introductionmentioning

confidence: 99%

LDG Method with P-Adaptivity Applied to LES of Blade-Vortex Interaction

Bresciani¹,

Abbà²

2021

14th WCCM-ECCOMAS Congress

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“…By the Rankine-Hugoniot conditions the initial conditions are obtained as 25 • cos (30 • ), −8. 25 • sin (30), 0.0, 116.5) x ≤ x 0 + 1 3 y (1.4, 0.0, 0.0, 0.0, 1.0)…”

Section: Double Mach Reflectionmentioning

confidence: 99%

“…In [9,12,23], h-refinement techniques were successfully applied to high order DG methods to solve the compressible Euler equations. P-adaptive DG methods, where adaptivity is achieved through a variable ansatz degree, have been investigated in [1,3,19]. Since Li and Jameson showed in [15], that h-refinement produces better results at flow discontinuities while p-refinement is more efficient in smooth regions we decide to use both techniques for our hybrid DG/FV scheme.…”

Section: Introductionmentioning

confidence: 99%

A p-Adaptive Discontinuous Galerkin Method with hp-Shock Capturing

2022

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In this work, we present a novel hybrid Discontinuous Galerkin scheme with hp-adaptivity capabilities for the compressible Euler equations. In smooth regions, an efficient and accurate discretization is achieved via local p-adaptation. At strong discontinuities and shocks, a finite volume scheme on an h-refined element-local subgrid gives robustness. Thus, we obtain a hp-adaptive scheme that exploits both the high convergence rate and efficiency of a p-adaptive high order scheme as well as the stable and accurate shock capturing abilities of a low order finite volume scheme, but avoids the inherent resolution loss through h-refinement. A single a priori indicator, based on the modal decay of the local polynomial solution representation, is used to distinguish between discontinuous and smooth regions and control the p-refinement. Our method is implemented as an extension to the open source software FLEXI. Hence, the efficient implementation of the method for high performance computers was an important criterion during the development. The efficiency of our adaptive scheme is demonstrated for a variety of test cases, where results are compared against non adaptive simulations. Our findings suggest that the proposed adaptive method produces comparable or even better results with significantly less computational costs.

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“…However, the industrial interest for these methods has been strongly promoting research efforts to increase their efficiency 8‐12 . Previous works contributed to the development of efficient high‐order numerical methods for steady and unsteady flow problems involving adaptation of the spatial discretization by varying the order of the polynomial approximation throughout the domain, for example, References 13‐17, by performing mesh adaptation, for example, References 18‐22, or both, for example, References 23,24.…”

Section: Introductionmentioning

confidence: 99%

An implicit p‐adaptive discontinuous Galerkin solver for CAA/CFD simulations

Colombo

Crivellini

Ghidoni

et al. 2022

Numerical Methods in Fluids

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In the last decades flow simulations have become a routine practice in many industrial fields for the aerodynamic and noise prediction. Moreover, the ever increasing interest in simulating off‐design operating conditions promoted the development of high‐fidelity simulation tools to overcome the modeling and accuracy limits of standard industrial codes in predicting turbulent separated flows. The discontinuous Galerkin (DG) method is well suited for this class of simulations, but today DG‐based CFD and CAA (Computational AeroAcoustics) solvers cannot yet reach the computational efficiency of well‐established commercial codes. As a consequence, the present paper aims at exploiting some attractive strategies, such as the adaptation of the elemental polynomial degree (p‐adaptation) and of the degree of exactness of quadrature rules, to enhance the computational efficiency of an implicit DG platform for CFD and CAA simulations. Moreover, a sponge layer non‐reflecting boundary treatment has been also implemented for CAA. The predicting capabilities of the method have been assessed on classical CAA and CFD test cases. The proposed adaptive strategy guarantees a significant reduction ( prefix≈-.27em50%) of the computational effort for both CFD and CAA simulations, compared to uniform‐order discretizations, while not spoiling the high accuracy requested to an high‐fidelity simulation tool.

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Dynamical p−adaptivity for LES of compressible flows in a high order DG framework

Cited by 15 publications

References 74 publications

LDG Method with P-Adaptivity Applied to LES of Blade-Vortex Interaction

LDG Method with P-Adaptivity Applied to LES of Blade-Vortex Interaction

A p-Adaptive Discontinuous Galerkin Method with hp-Shock Capturing

An implicit p‐adaptive discontinuous Galerkin solver for CAA/CFD simulations

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