Nektar++: Enhancing the capability and application of high-fidelity spectral/hp element methods

D Moxey, CD Cantwell, Y Bao, A Cassinelli… - Computer Physics …, 2020 - Elsevier
Nektar++ is an open-source framework that provides a flexible, high-performance and
scalable platform for the development of solvers for partial differential equations using the …

[HTML][HTML] A comparative study on polynomial dealiasing and split form discontinuous Galerkin schemes for under-resolved turbulence computations

AR Winters, RC Moura, G Mengaldo… - Journal of …, 2018 - Elsevier
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 …

Industry-Relevant Implicit Large-Eddy Simulation of a High-Performance Road Car via Spectral/hp Element Methods

G Mengaldo, D Moxey, M Turner, RC Moura, A Jassim… - SIAM Review, 2021 - SIAM
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 …

Gradient jump penalty stabilisation of spectral/hp element discretisation for under-resolved turbulence simulations

RC Moura, A Cassinelli, AFC da Silva, E Burman… - Computer Methods in …, 2022 - Elsevier
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 …

Design of a Smagorinsky spectral vanishing viscosity turbulence model for discontinuous Galerkin methods

J Manzanero, E Ferrer, G Rubio, E Valero - Computers & Fluids, 2020 - Elsevier
We present a new closure model for Large Eddy Simulation to introduce dissipation in under–
resolved turbulent simulation using discontinuous Galerkin (DG) schemes applied to the …

Spatial eigenanalysis of spectral/hp continuous Galerkin schemes and their stabilisation via DG-mimicking spectral vanishing viscosity for high Reynolds number …

RC Moura, M Aman, J Peiró, SJ Sherwin - Journal of Computational …, 2020 - Elsevier
This study considers the spatial eigensolution analysis of spectral/hp continuous Galerkin
(CG) schemes, complementing a recent work by Moura et al.(2016)[15] which addressed …

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

P Fernandez, RC Moura, G Mengaldo… - Computer Methods in …, 2019 - Elsevier
High-order spectral element methods (SEM) for large-eddy simulation (LES) are still very
limited in industry. One of the main reasons behind this is the lack of robustness of SEM for …

[HTML][HTML] Jump penalty stabilization techniques for under-resolved turbulence in discontinuous Galerkin schemes

J Kou, OA Marino, E Ferrer - Journal of Computational Physics, 2023 - Elsevier
Jump penalty stabilization techniques for under-resolved turbulence have been recently
proposed for continuous and discontinuous high order Galerkin schemes [1],[2],[3]. The …

[HTML][HTML] Eigensolution analysis of immersed boundary method based on volume penalization: applications to high-order schemes

J Kou, A Hurtado-de-Mendoza, S Joshi… - Journal of …, 2022 - Elsevier
This paper presents eigensolution and non-modal analyses for immersed boundary
methods (IBMs) based on volume penalization for the linear advection equation. This …

Implicit large-eddy simulations of turbulent flow in a channel via spectral/hp element methods

R Wang, F Wu, H Xu, SJ Sherwin - Physics of Fluids, 2021 - pubs.aip.org
The spectral/hp element method [which is the hp-version finite element method, where h
denotes the h-version finite element method and p denotes the p-version finite element …