p-Multigrid solution of high-order discontinuous Galerkin discretizations of the compressible Navier–Stokes equations
We present a p-multigrid solution algorithm for a high-order discontinuous Galerkin finite
element discretization of the compressible Navier–Stokes equations. The algorithm employs …
element discretization of the compressible Navier–Stokes equations. The algorithm employs …
Shock capturing with PDE-based artificial viscosity for DGFEM: Part I. Formulation
GE Barter, DL Darmofal - Journal of Computational Physics, 2010 - Elsevier
Artificial viscosity can be combined with a higher-order discontinuous Galerkin finite element
discretization to resolve a shock layer within a single cell. However, when a non-smooth …
discretization to resolve a shock layer within a single cell. However, when a non-smooth …
Discontinuous Galerkin for diffusion
B Van Leer, S Nomura - 17th AIAA Computational Fluid Dynamics …, 2005 - arc.aiaa.org
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[HTML][HTML] 间断伽辽金方法在可压缩流数值模拟中的应用研究综述
吕宏强， 张涛， 孙强， 陈建伟， 秦望龙 - 空气动力学学报, 2017 - html.rhhz.net
本文对近三十年来, 国内外对于高精度数值方法研究中的热点——间断伽辽金方法在可压缩流
数值模拟方面的应用研究进行了综述. 首先对间断伽辽金方法的基本概念和特点作了简单介绍 …
数值模拟方面的应用研究进行了综述. 首先对间断伽辽金方法的基本概念和特点作了简单介绍 …
[图书][B] Development of the discontinuous Galerkin method for high-resolution, large scale CFD and acoustics in industrial geometries
K Hillewaert - 2013 - books.google.com
New unstructured high order methods hold the promise of transforming industrial? CFD
practices. Their combination of high precision, high geometrical flexibility? and parallel …
practices. Their combination of high precision, high geometrical flexibility? and parallel …
An a posteriori error control framework for adaptive precision optimization using discontinuous Galerkin finite element method
J Lu - 2005 - dspace.mit.edu
Introduction: Aerodynamic design optimization has seen significant development over the
past decade. Adjoint-based shape design for elliptic systems was first proposed by …
past decade. Adjoint-based shape design for elliptic systems was first proposed by …
Nektar++: Design and implementation of an implicit, spectral/hp element, compressible flow solver using a Jacobian-free Newton Krylov approach
ZG Yan, Y Pan, G Castiglioni, K Hillewaert… - … & Mathematics with …, 2021 - Elsevier
At high Reynolds numbers the use of explicit in time compressible flow simulations with
spectral/hp element discretization can become significantly limited by time step. To alleviate …
spectral/hp element discretization can become significantly limited by time step. To alleviate …
A parallel, high-order discontinuous Galerkin code for laminar and turbulent flows
B Landmann, M Kessler, S Wagner, E Krämer - Computers & Fluids, 2008 - Elsevier
In this study we present a solution method for the compressible Navier–Stokes equations as
well as the Reynolds-averaged Navier–Stokes equations (RANS) based on a discontinuous …
well as the Reynolds-averaged Navier–Stokes equations (RANS) based on a discontinuous …
Preconditioning methods for discontinuous Galerkin solutions of the Navier–Stokes equations
LT Diosady, DL Darmofal - Journal of Computational Physics, 2009 - Elsevier
A Newton–Krylov method is developed for the solution of the steady compressible Navier–
Stokes equations using a discontinuous Galerkin (DG) discretization on unstructured …
Stokes equations using a discontinuous Galerkin (DG) discretization on unstructured …
A set of parallel, implicit methods for a reconstructed discontinuous Galerkin method for compressible flows on 3D hybrid grids
A set of implicit methods are proposed for a third-order hierarchical WENO reconstructed
discontinuous Galerkin method for compressible flows on 3D hybrid grids. An attractive …
discontinuous Galerkin method for compressible flows on 3D hybrid grids. An attractive …