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 …

Numerical evidence of anomalous energy dissipation in incompressible Euler flows: towards grid-converged results for the inviscid Taylor–Green problem

N Fehn, M Kronbichler, P Munch… - Journal of Fluid …, 2022 - cambridge.org
The well-known energy dissipation anomaly in the inviscid limit, related to velocity
singularities according to Onsager, still needs to be demonstrated by numerical …

Fully-discrete spatial eigenanalysis of discontinuous spectral element methods: insights into well-resolved and under-resolved vortical flows

N Tonicello, RC Moura, G Lodato, G Mengaldo - Computers & Fluids, 2023 - Elsevier
This study presents a comprehensive spatial eigenanalysis of fully-discrete discontinuous
spectral element methods, now generalising previous spatial eigenanalysis that did not …

Modern discontinuous Galerkin methods for the simulation of transitional and turbulent flows in biomedical engineering: a comprehensive LES study of the FDA …

N Fehn, WA Wall, M Kronbichler - International Journal for …, 2019 - Wiley Online Library
This work uses high‐order discontinuous Galerkin discretization techniques to simulate
transitional and turbulent flows through medical devices. Flows through medical devices are …

Entropy-stable hybridized discontinuous Galerkin methods for large-eddy simulation of transitional and turbulent flows

P Fernández - 2019 - dspace.mit.edu
Third, we introduced a non-modal analysis theory that characterizes the numerical
dissipation of high-order discretization schemes, including hybridized DG methods. Non …

On the entropy projection and the robustness of high order entropy stable discontinuous Galerkin schemes for under-resolved flows

J Chan, H Ranocha, AM Rueda-Ramírez… - Frontiers in …, 2022 - frontiersin.org
High order entropy stable schemes provide improved robustness for computational
simulations of fluid flows. However, additional stabilization and positivity preserving limiting …

Non-intrusive reduced order models for the accurate prediction of bifurcating phenomena in compressible fluid dynamics

N Tonicello, A Lario, G Rozza, G Mengaldo - Computers & Fluids, 2024 - Elsevier
The present works is focused on studying bifurcating solutions in compressible fluid
dynamics. On one side, the physics of the problem is thoroughly investigated using high …

Analysis of high-order explicit LES dynamic modeling applied to airfoil flows

N Tonicello, G Lodato, L Vervisch - Flow, Turbulence and Combustion, 2022 - Springer
A high-order low dissipative numerical framework is discussed to tackle simultaneously the
modeling of unresolved sub-grid scale flow turbulence and the capturing of shock waves …

A comparative study from spectral analyses of high-order methods with non-constant advection velocities

N Tonicello, G Lodato, L Vervisch - Journal of Scientific Computing, 2021 - Springer
The response of numerical methods to flow properties dynamic changes is a key ingredient
of numerical modeling calibration. In this context, a range of spectral analyses and canonical …

Suitability of an Artificial Viscosity Model for Compressible Under-Resolved Turbulence Using a Flux Reconstruction Method

L Ma, C Yan, J Yu - Applied Sciences, 2022 - mdpi.com
In the simulation of compressible turbulent flows via a high-order flux reconstruction
framework, the artificial viscosity model plays an important role to ensure robustness in the …