High order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developments
CW Shu - Journal of Computational Physics, 2016 - Elsevier
For solving time-dependent convection-dominated partial differential equations (PDEs),
which arise frequently in computational physics, high order numerical methods, including …
which arise frequently in computational physics, high order numerical methods, including …
Spectral/hp element methods: Recent developments, applications, and perspectives
The spectral/hp element method combines the geometric flexibility of the classical h-type
finite element technique with the desirable numerical properties of spectral methods …
finite element technique with the desirable numerical properties of spectral methods …
Deep neural networks for data-driven LES closure models
In this work, we present a novel data-based approach to turbulence modeling for Large
Eddy Simulation (LES) by artificial neural networks. We define the perfect LES formulation …
Eddy Simulation (LES) by artificial neural networks. We define the perfect LES formulation …
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 …
problems occurring in fluid dynamics and related disciplines. Among the HO discretization …
[HTML][HTML] UCNS3D: An open-source high-order finite-volume unstructured CFD solver
UCNS3D is an open-source computational solver for compressible flows on unstructured
meshes. State-of-the-art high-order methods and their associated benefits can now be …
meshes. State-of-the-art high-order methods and their associated benefits can now be …
[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 …
A provably entropy stable subcell shock capturing approach for high order split form DG for the compressible Euler equations
S Hennemann, AM Rueda-Ramírez… - Journal of …, 2021 - Elsevier
The main result in this paper is a provably entropy stable shock capturing approach for the
high order entropy stable Discontinuous Galerkin Spectral Element Method (DGSEM) based …
high order entropy stable Discontinuous Galerkin Spectral Element Method (DGSEM) based …
[HTML][HTML] On the utility of GPU accelerated high-order methods for unsteady flow simulations: A comparison with industry-standard tools
First-and second-order accurate numerical methods, implemented for CPUs, underpin the
majority of industrial CFD solvers. Whilst this technology has proven very successful at …
majority of industrial CFD solvers. Whilst this technology has proven very successful at …
Linear dispersion–diffusion analysis and its application to under-resolved turbulence simulations using discontinuous Galerkin spectral/hp methods
We investigate the potential of linear dispersion–diffusion analysis in providing direct
guidelines for turbulence simulations through the under-resolved DNS (sometimes called …
guidelines for turbulence simulations through the under-resolved DNS (sometimes called …
[HTML][HTML] On the eddy-resolving capability of high-order discontinuous Galerkin approaches to implicit LES/under-resolved DNS of Euler turbulence
We present estimates of spectral resolution power for under-resolved turbulent Euler flows
obtained with high-order discontinuous Galerkin (DG) methods. The '1% rule'based on …
obtained with high-order discontinuous Galerkin (DG) methods. The '1% rule'based on …