[HTML][HTML] : A high-order discontinuous Galerkin solver for flow simulations and multi-physics applications
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 …
an open source high-order discontinuous Galerkin framework, capable of solving a variety of …
[HTML][HTML] Accelerating high order discontinuous Galerkin solvers using neural networks: 1D Burgers' equation
FM de Lara, E Ferrer - Computers & Fluids, 2022 - Elsevier
High order discontinuous Galerkin methods allow accurate solutions through the use of high
order polynomials inside each mesh element. Increasing the polynomial order leads to high …
order polynomials inside each mesh element. Increasing the polynomial order leads to high …
[HTML][HTML] Accelerating high order discontinuous Galerkin solvers using neural networks: 3D compressible Navier-Stokes equations
FM de Lara, E Ferrer - Journal of Computational Physics, 2023 - Elsevier
We propose to accelerate a high order discontinuous Galerkin solver using neural networks.
We include a corrective forcing to a low polynomial order simulation to enhance its accuracy …
We include a corrective forcing to a low polynomial order simulation to enhance its accuracy …
An interior penalty stabilised incompressible discontinuous Galerkin–Fourier solver for implicit large eddy simulations
E Ferrer - Journal of Computational Physics, 2017 - Elsevier
We present an implicit Large Eddy Simulation (iLES) h/p high order (≥ 2) unstructured
Discontinuous Galerkin–Fourier solver with sliding meshes. The solver extends the laminar …
Discontinuous Galerkin–Fourier solver with sliding meshes. The solver extends the laminar …
Design of a Smagorinsky spectral vanishing viscosity turbulence model for discontinuous Galerkin methods
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 …
resolved turbulent simulation using discontinuous Galerkin (DG) schemes applied to the …
A comparison of refinement indicators for p-adaptive simulations of steady and unsteady flows using discontinuous Galerkin methods
F Naddei, M de la Llave Plata, V Couaillier… - Journal of Computational …, 2019 - Elsevier
This paper presents an analysis of refinement indicators for the simulation of steady and
unsteady flows by means of p-adaptive algorithms for discontinuous Galerkin (DG) methods …
unsteady flows by means of p-adaptive algorithms for discontinuous Galerkin (DG) methods …
A p-multigrid strategy with anisotropic p-adaptation based on truncation errors for high-order discontinuous Galerkin methods
High-order discontinuous Galerkin methods have become a popular technique in
computational fluid dynamics because their accuracy increases spectrally in smooth …
computational fluid dynamics because their accuracy increases spectrally in smooth …
[HTML][HTML] Gradient-based polynomial adaptation indicators for high-order methods
C Kolokotronis, BC Vermeire - Computers & Fluids, 2024 - Elsevier
This work introduces two new non-dimensional gradient-based adaptation indicators for
feature-based polynomial adaptation with high-order unstructured methods when used for …
feature-based polynomial adaptation with high-order unstructured methods when used for …
Insights on aliasing driven instabilities for advection equations with application to Gauss–Lobatto discontinuous Galerkin methods
We analyse instabilities due to aliasing errors when solving one dimensional non-constant
advection speed equations and discuss means to alleviate these types of errors when using …
advection speed equations and discuss means to alleviate these types of errors when using …
[HTML][HTML] A symmetry and Noether charge preserving discretization of initial value problems
Taking insight from the theory of general relativity, where space and time are treated on the
same footing, we develop a novel geometric variational discretization for second order initial …
same footing, we develop a novel geometric variational discretization for second order initial …