Development and Validation of a Massively Parallel High-Order Solver for DNS and LES of Industrial Flows

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

“…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.…”

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

“…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.…”

“…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.…”

Subgrid-scale modeling and implicit numerical dissipation in DG-based Large-Eddy Simulation

“…The ILES approach was first introduced in 1990 by Boris et al 4 and has been successfully applied with a number of different schemes, including finite volume methods, [13][14][15] standard 18 and compact 16,41 finite difference methods, spectral difference methods, 45 spectral/hp element methods, 21 flux reconstruction methods, 30 and disconstinuous Galerkin (DG) methods. 11,12,26,33,44 ILES benefits from its easy implementation without an SGS model and currently gains considerable attention from researchers in the computational fluid dynamics (CFD) community. This can be partially attributed to the fact that research has failed to shown an advantage of sophisticated SGS models over the same-cost LES with a simplistic model -or even with no model-and a slightly finer grid.…”