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 …
Discrete energy-conservation properties in the numerical simulation of the Navier–Stokes equations
Nonlinear convective terms pose the most critical issues when a numerical discretization of
the Navier–Stokes equations is performed, especially at high Reynolds numbers. They are …
the Navier–Stokes equations is performed, especially at high Reynolds numbers. They are …
[HTML][HTML] 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 …
Nektar++: Enhancing the capability and application of high-fidelity spectral/hp element methods
Nektar++ is an open-source framework that provides a flexible, high-performance and
scalable platform for the development of solvers for partial differential equations using the …
scalable platform for the development of solvers for partial differential equations using the …
[HTML][HTML] A comparative study on polynomial dealiasing and split form discontinuous Galerkin schemes for under-resolved turbulence computations
This work focuses on the accuracy and stability of high-order nodal discontinuous Galerkin
(DG) methods for under-resolved turbulence computations. In particular we consider the …
(DG) methods for under-resolved turbulence computations. In particular we consider the …
On the use of kinetic energy preserving DG-schemes for large eddy simulation
D Flad, G Gassner - Journal of Computational Physics, 2017 - Elsevier
Recently, element based high order methods such as Discontinuous Galerkin (DG) methods
and the closely related flux reconstruction (FR) schemes have become popular for …
and the closely related flux reconstruction (FR) schemes have become popular for …
Toward discretization-consistent closure schemes for large eddy simulation using reinforcement learning
This study proposes a novel method for develo** discretization-consistent closure
schemes for implicitly filtered large eddy simulation (LES). Here, the induced filter kernel …
schemes for implicitly filtered large eddy simulation (LES). Here, the induced filter kernel …
Hybridisable discontinuous Galerkin formulation of compressible flows
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 …
methods in the context of compressible flows. Moreover, an original unified framework for …
Sparse invariant domain preserving discontinuous Galerkin methods with subcell convex limiting
W Pazner - Computer Methods in Applied Mechanics and …, 2021 - Elsevier
In this paper, we develop high-order nodal discontinuous Galerkin (DG) methods for
hyperbolic conservation laws that satisfy invariant domain preserving properties using …
hyperbolic conservation laws that satisfy invariant domain preserving properties using …