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Title: Analysis of Recovery-assisted discontinuous Galerkin methods for the compressible Navier-Stokes equations

Journal Article · · Journal of Computational Physics

Not Available

Sponsoring Organization:
USDOE
OSTI ID:
1669184
Journal Information:
Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: C Vol. 423; ISSN 0021-9991
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

References (43)

Discontinuous Galerkin approximations for elliptic problems journal January 2000
High-order CFD methods: current status and perspective: HIGH-ORDER CFD METHODS journal January 2013
Assessment of a discontinuous Galerkin method for the simulation of vortical flows at high Reynolds number: SIMULATION OF VORTICAL FLOW AT HIGH REYNOLDS NUMBER USING DGM journal November 2013
Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities journal September 2009
A High-Order Accurate Discontinuous Finite Element Method for the Numerical Solution of the Compressible Navier–Stokes Equations journal March 1997
High-Order Accurate Discontinuous Finite Element Solution of the 2D Euler Equations journal December 1997
Fourier analysis for discontinuous Galerkin and related methods journal June 2009
High order embedded Runge-Kutta formulae journal March 1981
Discontinuous Galerkin solution of the Reynolds-averaged Navier–Stokes and k–ω turbulence model equations journal May 2005
A parallel, high-order discontinuous Galerkin code for laminar and turbulent flows journal May 2008
Arbitrary high order PNPM schemes on unstructured meshes for the compressible Navier–Stokes equations journal January 2010
Evaluation of a high-order discontinuous Galerkin method for the DNS of turbulent flows journal May 2014
A numerical analysis of the nodal Discontinuous Galerkin scheme via Flux Reconstruction for the advection-diffusion equation journal November 2016
On underresolved simulations of compressible turbulence using an entropy-bounded DG method: Solution stabilization, scheme optimization, and benchmark against a finite-volume solver journal January 2018
Higher entropy conservation and numerical stability of compressible turbulence simulations journal December 2004
Limiters for high-order discontinuous Galerkin methods journal September 2007
Fourier spectral and wavelet solvers for the incompressible Navier–Stokes equations with volume-penalization: Convergence of a dipole–wall collision journal December 2007
An optimal order interior penalty discontinuous Galerkin discretization of the compressible Navier–Stokes equations journal November 2008
Assessment of high-resolution methods for numerical simulations of compressible turbulence with shock waves journal February 2010
A reconstructed discontinuous Galerkin method for the compressible Navier–Stokes equations on arbitrary grids journal September 2010
Superconvergence of discontinuous Galerkin and local discontinuous Galerkin methods: Eigen-structure analysis based on Fourier approach journal February 2013
Towards shock-stable and accurate hypersonic heating computations: A new pressure flux for AUSM-family schemes journal July 2013
A posteriori subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws journal December 2014
A new limiting procedure for discontinuous Galerkin methods applied to compressible multiphase flows with shocks and interfaces journal January 2015
Entropy-bounded discontinuous Galerkin scheme for Euler equations journal August 2015
The hybridized Discontinuous Galerkin method for Implicit Large-Eddy Simulation of transitional turbulent flows journal May 2017
The compact gradient recovery discontinuous Galerkin method for diffusion problems journal December 2019
Runge-Kutta Discontinuous Galerkin Methods for Convection-Dominated Problems journal September 2001
Vortex dipole rebound from a wall journal August 1990
Eddy shocklets in decaying compressible turbulence journal April 1991
Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems journal January 2009
Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems journal January 2002
The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems journal December 1998
Obtaining and Verifying High-Order Unstructured Finite Volume Solutions to the Euler Equations journal September 2009
Discontinuous Galerkin for Diffusion conference June 2012
A Flux Reconstruction Approach to High-Order Schemes Including Discontinuous Galerkin Methods conference June 2012
Recovery-Based Discontinuous Galerkin for Navier-Stokes Viscous Terms conference June 2012
Analysis of Improved Advection Schemes for Discontinuous Galerkin Methods conference June 2014
Overview of the NASA Glenn Flux Reconstruction Based High-Order Unstructured Grid Code conference January 2016
Discontinuous Galerkin for Advection with Interface-Centered Reconstruction conference January 2016
A New Family of Discontinuous Galerkin Schemes for Diffusion Problems conference June 2017
A Compact Discontinuous Galerkin Method for Advection-Diffusion Problems conference January 2018
Runge-Kutta Discontinuous Galerkin Method with a Simple and Compact Hermite WENO Limiter journal April 2016