Recent progress on high-order discontinuous schemes for simulations of multiphase and multicomponent flows

Y Lv, J Ekaterinaris - Progress in Aerospace Sciences, 2023 - Elsevier
There have been growing research interests in high-order discontinuous schemes over
recent years. With established theoretical basis and framework, more efforts have recently …

Discontinuous Galerkin methods for hypersonic flows

DS Hoskin, RL Van Heyningen, NC Nguyen… - Progress in Aerospace …, 2024 - Elsevier
In recent years, high-order discontinuous Galerkin (DG) methods have emerged as an
attractive approach for numerical simulations of compressible flows. This paper presents an …

[HTML][HTML] : A high-order discontinuous Galerkin solver for flow simulations and multi-physics applications

E Ferrer, G Rubio, G Ntoukas, W Laskowski… - Computer Physics …, 2023 - Elsevier
We present the latest developments of our High-Order Spectral Element Solver (Image 1),
an open source high-order discontinuous Galerkin framework, capable of solving a variety of …

Finite element applications

M Okereke, S Keates - A Practical Guide to the FEMA Process. TextBook …, 2018 - Springer
The text demonstrates the application of the finite element modelling principles to the
solution of real-life problems. The presentation tracks the implementation from generation 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 …

Assessment of the wall-adapting local eddy-viscosity model in transitional boundary layer

M Kim, J Lim, S Kim, S Jee, D Park - Computer Methods in Applied …, 2020 - Elsevier
The main idea of this manuscript is to assess the wall-adapting local eddy-viscosity (WALE)
model, which is designed for large-eddy simulation (LES) of turbulent boundary layer, in …

[HTML][HTML] Spatial eigensolution analysis of discontinuous Galerkin schemes with practical insights for under-resolved computations and implicit LES

G Mengaldo, RC Moura, B Giralda, J Peiró… - Computers & …, 2018 - Elsevier
The study focusses on the dispersion and diffusion characteristics of discontinuous spectral
element methods-specifically discontinuous Galerkin (DG)-via the spatial eigensolution …

Exasim: Generating discontinuous Galerkin codes for numerical solutions of partial differential equations on graphics processors

J Vila-Pérez, RL Van Heyningen, NC Nguyen… - SoftwareX, 2022 - Elsevier
This paper presents an overview of the functionalities and applications of Exasim, an open-
source code for generating high-order discontinuous Galerkin codes to numerically solve …

Large-eddy simulation of transonic buffet using matrix-free discontinuous Galerkin method

N Cuong Nguyen, S Terrana, J Peraire - AIAA Journal, 2022 - arc.aiaa.org
We present an implicit large-eddy simulation of transonic buffet over the OAT15A
supercritical airfoil at Mach number 0.73, angle of attack 3.5 deg, and Reynolds number 3× …

An adaptive viscosity regularization approach for the numerical solution of conservation laws: Application to finite element methods

NC Nguyen, J Vila-Pérez, J Peraire - Journal of Computational Physics, 2023 - Elsevier
We introduce an adaptive viscosity regularization approach for the numerical solution of
systems of nonlinear conservation laws with shock waves. The approach seeks to solve a …