Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations

GJ Gassner, AR Winters, DA Kopriva - Journal of Computational Physics, 2016 - Elsevier
Abstract Fisher and Carpenter (2013)[12] found a remarkable equivalence of general
diagonal norm high-order summation-by-parts operators to a subcell based high-order finite …

A novel robust strategy for discontinuous Galerkin methods in computational fluid mechanics: Why? When? What? Where?

GJ Gassner, AR Winters - Frontiers in Physics, 2021 - frontiersin.org
In this paper we will review a recent emerging paradigm shift in the construction and
analysis of high order Discontinuous Galerkin methods applied to approximate solutions of …

Hybridisable discontinuous Galerkin formulation of compressible flows

J Vila-Pérez, M Giacomini, R Sevilla… - Archives of Computational …, 2021 - Springer
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 …

On the robustness and performance of entropy stable collocated discontinuous Galerkin methods

D Rojas, R Boukharfane, L Dalcin… - Journal of …, 2021 - Elsevier
In computational fluid dynamics, the demand for increasingly multidisciplinary reliable
simulations, for both analysis and design optimization purposes, requires transformational …

Stability of overintegration methods for nodal discontinuous Galerkin spectral element methods

DA Kopriva - Journal of Scientific Computing, 2018 - Springer
We perform stability analyses for discontinuous Galerkin spectral element approximations of
linear variable coefficient hyperbolic systems in three dimensional domains with curved …

Numerical Investigation of the Inviscid Taylor-Green Vortex Using an Adaptive Filtering Method for a Modal Discontinuous Galerkin Method

D Yuan, KW Jenkins, P Tsoutsanis - International Journal of …, 2023 - Taylor & Francis
Implicit Large Eddy Simulation and under-resolved Direct Numerical Simulation bypass the
complexity and uncertainty of turbulence modelling by using the numerical dissipation of the …

On The Implicit Large Eddy Simulation of Turbomachinery Flows Using The Flux Reconstruction Method

F Wang - arxiv preprint arxiv:2405.17288, 2024 - arxiv.org
A high order flux reconstruction solver has been developed and validated to perform implicit
large eddy simulations of industrially representative turbomachinery flows. The T106c low …

On the robustness and performance of entropy stable discontinuous collocation methods for the compressible Navier-Stokes equations

D Rojas, R Boukharfane, L Dalcin… - arxiv preprint arxiv …, 2019 - arxiv.org
In computational fluid dynamics, the demand for increasingly multidisciplinary reliable
simulations, for both analysis and design optimization purposes, requires transformational …

Improving the Numerical Stability of Higher Order Methods with Applications to Fluid Dynamics

A Ameri - 2019 - escholarship.mcgill.ca
The discontinuous Galerkin (DG) method, which has recently gained popularity within the
finite element community, is prone to numerical instabilities for high orders unless furnished …

Large eddy simulations of turbulent channel flows using split form DG schemes

ET Dauricio, JLF Azevedo - AIAA Scitech 2021 Forum, 2021 - arc.aiaa.org
View Video Presentation: https://doi. org/10.2514/6.2021-1209. vid Spatial and temporal
eigensolution analysis of the discontinuous Galerkin (DG) method shows the favorable …