Facilitating the adoption of unstructured high-order methods amongst a wider community of fluid dynamicists

PE Vincent, A Jameson - Mathematical Modelling of Natural …, 2011 - cambridge.org
Theoretical studies and numerical experiments suggest that unstructured high-order
methods can provide solutions to otherwise intractable fluid flow problems within complex …

FLEXI: A high order discontinuous Galerkin framework for hyperbolic–parabolic conservation laws

N Krais, A Beck, T Bolemann, H Frank, D Flad… - … & Mathematics with …, 2021 - Elsevier
High order (HO) schemes are attractive candidates for the numerical solution of multiscale
problems occurring in fluid dynamics and related disciplines. Among the HO discretization …

On positivity-preserving high order discontinuous Galerkin schemes for compressible Navier–Stokes equations

X Zhang - Journal of Computational Physics, 2017 - Elsevier
We construct a local Lax–Friedrichs type positivity-preserving flux for compressible Navier–
Stokes equations, which can be easily extended to multiple dimensions for generic forms of …

Implicit large eddy simulation of transition to turbulence at low Reynolds numbers using a discontinuous Galerkin method

A Uranga, PO Persson, M Drela… - International Journal for …, 2011 - Wiley Online Library
The present work predicts the formation of laminar separation bubbles at low Reynolds
numbers and the related transition to turbulence by means of Implicit Large Eddy …

Hybridizable discontinuous Galerkin methods for partial differential equations in continuum mechanics

NC Nguyen, J Peraire - Journal of Computational Physics, 2012 - Elsevier
We present hybridizable discontinuous Galerkin methods for solving steady and time-
dependent partial differential equations (PDEs) in continuum mechanics. The essential …

Implicit LES of free and wall‐bounded turbulent flows based on the discontinuous Galerkin/symmetric interior penalty method

CC De Wiart, K Hillewaert, L Bricteux… - … Methods in Fluids, 2015 - Wiley Online Library
This paper presents the second validation step of a compressible discontinuous Galerkin
solver with symmetric interior penalty (DGM/SIP) for the direct numerical simulation (DNS) …

The hybridized discontinuous Galerkin method for implicit large-eddy simulation of transitional turbulent flows

P Fernandez, NC Nguyen, J Peraire - Journal of Computational Physics, 2017 - Elsevier
We present a high-order Implicit Large-Eddy Simulation (ILES) approach for transitional
aerodynamic flows. The approach encompasses a hybridized Discontinuous Galerkin (DG) …

Assessment of a discontinuous Galerkin method for the simulation of vortical flows at high Reynolds number

C Carton de Wiart, K Hillewaert… - … Methods in Fluids, 2014 - Wiley Online Library
This paper focuses on the assessment of a discontinuous Galerkin method for the simulation
of vortical flows at high Reynolds number. The Taylor–Green vortex at Re= 1600 is …

Validation of the Transition Model for Airfoils Operating in the Very Low Reynolds Number Regime

M Carreño Ruiz, D D'ambrosio - Flow, Turbulence and Combustion, 2022 - Springer
Abstract Micro Aerial Vehicles (MAVs) are state of the art in the aerospace industry and are
involved in many operations. The reduced dimensions of these vehicles generate very low …

Experimental and numerical analysis of hovering multicopter performance in low-Reynolds number conditions

MC Ruiz, M Scanavino, D D'Ambrosio… - Aerospace Science and …, 2022 - Elsevier
Abstract Unmanned Aircraft Systems (UAS) are state of the art in the aerospace industry and
are involved in many operations. Although initially developed for military purposes …