Spectral/hp element methods: Recent developments, applications, and perspectives
The spectral/hp element method combines the geometric flexibility of the classical h-type
finite element technique with the desirable numerical properties of spectral methods …
finite element technique with the desirable numerical properties of spectral methods …
[HTML][HTML] New computational results for a prototype of an excitable system
This present paper uses a well known computational scheme such as the modified (G'/G)-
expansion method to the nonlinear predator–prey (NPP) system for forming new …
expansion method to the nonlinear predator–prey (NPP) system for forming new …
[HTML][HTML] On the eddy-resolving capability of high-order discontinuous Galerkin approaches to implicit LES/under-resolved DNS of Euler turbulence
We present estimates of spectral resolution power for under-resolved turbulent Euler flows
obtained with high-order discontinuous Galerkin (DG) methods. The '1% rule'based on …
obtained with high-order discontinuous Galerkin (DG) methods. The '1% rule'based on …
[HTML][HTML] A comparative study on polynomial dealiasing and split form discontinuous Galerkin schemes for under-resolved turbulence computations
This work focuses on the accuracy and stability of high-order nodal discontinuous Galerkin
(DG) methods for under-resolved turbulence computations. In particular we consider the …
(DG) methods for under-resolved turbulence computations. In particular we consider the …
On the use of kinetic energy preserving DG-schemes for large eddy simulation
D Flad, G Gassner - Journal of Computational Physics, 2017 - Elsevier
Recently, element based high order methods such as Discontinuous Galerkin (DG) methods
and the closely related flux reconstruction (FR) schemes have become popular for …
and the closely related flux reconstruction (FR) schemes have become popular for …
The hybridized discontinuous Galerkin method for implicit large-eddy simulation of transitional turbulent flows
We present a high-order Implicit Large-Eddy Simulation (ILES) approach for transitional
aerodynamic flows. The approach encompasses a hybridized Discontinuous Galerkin (DG) …
aerodynamic flows. The approach encompasses a hybridized Discontinuous Galerkin (DG) …
Implicit large-eddy simulation of a wingtip vortex
In this article, recent developments in numerical methods for performing a large-eddy
simulation of the formation and evolution of a wingtip vortex are presented. The …
simulation of the formation and evolution of a wingtip vortex are presented. The …
Hybridisable discontinuous Galerkin formulation of compressible flows
This work presents a review of high-order hybridisable discontinuous Galerkin (HDG)
methods in the context of compressible flows. Moreover, an original unified framework for …
methods in the context of compressible flows. Moreover, an original unified framework for …
Industry-Relevant Implicit Large-Eddy Simulation of a High-Performance Road Car via Spectral/hp Element Methods
We present a successful deployment of high-fidelity large-eddy simulation (LES)
technologies based on spectral/hp element methods to industrial flow problems, which are …
technologies based on spectral/hp element methods to industrial flow problems, which are …
Gradient jump penalty stabilisation of spectral/hp element discretisation for under-resolved turbulence simulations
One of the strengths of the discontinuous Galerkin (DG) method has been its balance
between accuracy and robustness, which stems from DG's intrinsic (upwind) dissipation …
between accuracy and robustness, which stems from DG's intrinsic (upwind) dissipation …