Discontinuous Galerkin solution of the Reynolds-averaged Navier–Stokes and k–ω turbulence model equations

Bassi, Francesco; Crivellini, Andrea; Rebay, Stefano; Savini, M.

doi:10.1016/j.compfluid.2003.08.004

Cited by 402 publications

(304 citation statements)

References 17 publications

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“…Notice that the model adopted is not in its standard form and employs the modifications introduced in [2], i.e., in Equations (4)- (6) the turbulent kinetic energy k is replaced by a limited valuek to avoid the occurrence of negative values; besides the model uses ω = log ω instead of ω. Furthermore, "realizable" ω r (i.e.…”

Section: Methodsmentioning

confidence: 99%

“…The new multicomponent DG solver here presented closely follows the implementation of the monocomponent DG MIGALE code [1,2,3,4]. A fully implicit discretization is employed with Jacobian matrices analytically computed to account in exact manner for the dependence of residuals on the values of variables and gradients, also including the treatment of lifting operators and boundary conditions.…”

Section: Discontinuous Galerkin Discretizationmentioning

confidence: 99%

“…In the current work, the development of the DG code MIGALE [1,2,3,4] for the computation of multicomponent flows, is presented. The solver is considered as one of our preliminary steps to deal with homogeneous (gas phase) combustion problems by means of a high-order CFD-DG tool and at present it neglects the modeling of chemical reactions.…”

Section: Introductionmentioning

confidence: 99%

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Discontinuous Galerkin Computation of Gaseous Mixture Coaxial Jets

Franchina¹,

Savini²,

Bassi³

2016

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)

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Abstract. A novel approach based upon Discontinuous Galerkin (DG) discretization, applied to the divergence form of the multicomponent Navier-Stokes equations, is here presented and used to compute non reactive turbulent axisymmetric gaseous jets. The original key feature is the use of L 2 -projection form of the (perfect gas) equation of state. This choice mitigates problems typically encountered by the front-capturing schemes in computing multicomponent flow fields, i.e. spurious oscillations across material and contact surfaces where the mixture composition is changing. The solver makes also use of a shock-capturing technique based on artificial dissipation selectively added into the equations and tuned in connection with the magnitude of inviscid residuals of the equations and on suitable coefficients accounting for the variation of the unknown variables within and across grid elements. A simple limiting procedure is introduced in order to avoid the occurrence of unphysical gas properties due to negative and/or greater that one mass fractions values within the domain. The DG code based on the proposed novel technique for multicomponent flow computation is here employed to study the mixing mode and the preferential diffusion mechanism of a mixture jet of helium and carbon dioxide in a surrounding flow of air, both in laminar and turbulent flow regimes. Mass diffusion is modelled by means of Fick's first law and use is made of constant Prandtl and Schmidt numbers in Wilcox's (2008) k − ω model. Third-order accurate results are presented, discussed and compared with the available experimental data. They confirm the possible existence in coaxial jets of different periodic flow structures, greatly affecting mixing rates, and different species diffusive mass fluxes. The relative importance of both phenomena depends on the flow regime and its characteristics. The tests carried out give at the same time indications about the accuracy of the proposed method and its effectiveness in computing complex unsteady flow fields.

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Section: Methodsmentioning

confidence: 99%

Section: Discontinuous Galerkin Discretizationmentioning

confidence: 99%

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Discontinuous Galerkin Computation of Gaseous Mixture Coaxial Jets

Franchina¹,

Savini²,

Bassi³

2016

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)

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“…This can be a cause of numerical instability in high-order methods. Therefore, as proposed by Bassi et al 2) for implementing the model to the DG, a transformed variablẽ ! ¼ ln !…”

Section: Governing Equationsmentioning

confidence: 99%

“…The discontinuous Galerkin (DG) 2,3) method has a history of nearly 20 years, and is now one of the most widely used methods with credibility. Other approaches more recently proposed to enhance computational efficiencies are the spectral difference (SD) 4) and flux reconstruction (FR) 5,6) methods.…”

Section: Introductionmentioning

confidence: 99%

Extension of the Flux Reconstruction Method to High-Reynolds Number RANS Simulations around High-Lift Devices

Miyaji

Nagasawa

2017

Trans. Japan Soc. Aero. S Sci.

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Spatially high-order flow simulations are conducted for high-Reynolds number flows around two-dimensional high-lift devices. The method uses a 'flux-reconstruction (FR) approach' that is applicable to unstructured quadrilateral or hexahedral grids. This is the first study focused on solving Reynolds-averaged Navier-Stokes equations coupled with k-½ turbulence model equations using the FR method. The performance of the turbulence model in the high-order scheme is first verified using standard benchmark problems. The flow around the three-element, high-lift airfoil known as NHLP/ L1T2 is then tried. Simulations from second-order (solution polynomial degree 1, or p=1) to fourth-order ( p=3) accuracy all predicted the surface pressure well, while the total pressure distribution in the wake was captured well by p=2 and p=3 simulations. The effects of new wall boundary conditions and minimum cell size are qualitatively discussed.

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Comparing unified, pinned, and host/device memory allocations for memory‐intensive workloads on Tegra SoC

Choi

You

Kim

et al. 2020

Concurrency and Computation

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Summary Edge computing focuses on processing near the source of the data. Edge computing devices using the Tegra SoC architecture provide a physically distinct GPU memory architecture. In order to take advantage of this architecture, different modes of memory allocation need to be considered. Different GPU memory allocation techniques yield different results in memory usage and execution times of identical applications on Tegra devices. In this article, we implement several GPU application benchmarks, including our custom CFD code with unified, pinned, and normal host/device memory allocation modes. We evaluate and compare the memory usage and execution time of such workloads on edge computing Tegra system‐on‐chips (SoC) equipped with integrated GPUs using a shared memory architecture, and non‐SoC machines with discrete GPUs equipped with distinct VRAM. We discover that utilizing normal memory allocation methods on SoCs actually use double the required memory because of unnecessary device memory copies, despite being physically shared with host memory. We show that GPU application memory usage can be reduced up to 50%, and that even performance improvements can occur just by replacing normal memory allocation and memory copy methods with managed unified memory or pinned memory allocation.

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Discontinuous Galerkin solution of the Reynolds-averaged Navier–Stokes and k–ω turbulence model equations

Cited by 402 publications

References 17 publications

Discontinuous Galerkin Computation of Gaseous Mixture Coaxial Jets

Discontinuous Galerkin Computation of Gaseous Mixture Coaxial Jets

Extension of the Flux Reconstruction Method to High-Reynolds Number RANS Simulations around High-Lift Devices

Comparing unified, pinned, and host/device memory allocations for memory‐intensive workloads on Tegra SoC

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