High-order methods for computational fluid dynamics: A brief review of compact differential formulations on unstructured grids
Popular high-order schemes with compact stencils for Computational Fluid Dynamics (CFD)
include Discontinuous Galerkin (DG), Spectral Difference (SD), and Spectral Volume (SV) …
include Discontinuous Galerkin (DG), Spectral Difference (SD), and Spectral Volume (SV) …
[HTML][HTML] PyFR: An open source framework for solving advection–diffusion type problems on streaming architectures using the flux reconstruction approach
FD Witherden, AM Farrington, PE Vincent - Computer Physics …, 2014 - Elsevier
High-order numerical methods for unstructured grids combine the superior accuracy of high-
order spectral or finite difference methods with the geometric flexibility of low-order finite …
order spectral or finite difference methods with the geometric flexibility of low-order finite …
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 …
A review of flux reconstruction or correction procedure via reconstruction method for the Navier-Stokes equations
Abstract Computational Fluid Dynamics (CFD) methods that are third-order accurate or
higher are generally considered high-order methods in the aerospace community. These …
higher are generally considered high-order methods in the aerospace community. These …
[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 …
Summation-by-parts operators for correction procedure via reconstruction
The correction procedure via reconstruction (CPR, formerly known as flux reconstruction) is
a framework of high order methods for conservation laws, unifying some discontinuous …
a framework of high order methods for conservation laws, unifying some discontinuous …
Energy stable flux reconstruction schemes for advection–diffusion problems
High-order methods for unstructured grids provide a promising option for solving
challenging problems in computational fluid dynamics. Flux reconstruction (FR) is a …
challenging problems in computational fluid dynamics. Flux reconstruction (FR) is a …
[HTML][HTML] Eigensolution analysis of spectral/hp continuous Galerkin approximations to advection–diffusion problems: Insights into spectral vanishing viscosity
This study addresses linear dispersion–diffusion analysis for the spectral/hp continuous
Galerkin (CG) formulation in one dimension. First, numerical dispersion and diffusion curves …
Galerkin (CG) formulation in one dimension. First, numerical dispersion and diffusion curves …
Simulation of the Taylor–Green vortex using high-order flux reconstruction schemes
In this paper, the ability of high-order flux reconstruction numerical schemes to perform
accurate and stable computations of compressible turbulent flows on coarse meshes is …
accurate and stable computations of compressible turbulent flows on coarse meshes is …