Review of output-based error estimation and mesh adaptation in computational fluid dynamics
KJ Fidkowski, DL Darmofal - AIAA journal, 2011 - arc.aiaa.org
Error estimation and control are critical ingredients for improving the reliability of
computational simulations. Adjoint-based techniques can be used to both estimate the error …
computational simulations. Adjoint-based techniques can be used to both estimate the error …
Recent progress on high-order discontinuous schemes for simulations of multiphase and multicomponent flows
Y Lv, J Ekaterinaris - Progress in Aerospace Sciences, 2023 - Elsevier
There have been growing research interests in high-order discontinuous schemes over
recent years. With established theoretical basis and framework, more efforts have recently …
recent years. With established theoretical basis and framework, more efforts have recently …
[图书][B] Nodal discontinuous Galerkin methods: algorithms, analysis, and applications
JS Hesthaven, T Warburton - 2007 - books.google.com
Mathematicsisplayinganevermoreimportant…-ical sciences, provoking a blurring of
boundaries between scienti? c disciplines and a resurgence of interest in the modern as …
boundaries between scienti? c disciplines and a resurgence of interest in the modern as …
A posteriori subcell limiting of the discontinuous Galerkin finite element method for hyperbolic conservation laws
M Dumbser, O Zanotti, R Loubère, S Diot - Journal of Computational …, 2014 - Elsevier
The purpose of this work is to propose a novel a posteriori finite volume subcell limiter
technique for the Discontinuous Galerkin finite element method for nonlinear systems of …
technique for the Discontinuous Galerkin finite element method for nonlinear systems of …
Limiters for high-order discontinuous Galerkin methods
L Krivodonova - Journal of Computational Physics, 2007 - Elsevier
We describe a limiter for the discontinuous Galerkin method that retains as high an order as
possible, and does not automatically reduce to first order. The limiter is a generalization of …
possible, and does not automatically reduce to first order. The limiter is a generalization of …
Space–time adaptive ADER discontinuous Galerkin finite element schemes with a posteriori sub-cell finite volume limiting
In this paper we present a novel arbitrary high order accurate discontinuous Galerkin (DG)
finite element method on space–time adaptive Cartesian meshes (AMR) for hyperbolic …
finite element method on space–time adaptive Cartesian meshes (AMR) for hyperbolic …
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 …
[HTML][HTML] A simple robust and accurate a posteriori sub-cell finite volume limiter for the discontinuous Galerkin method on unstructured meshes
M Dumbser, R Loubère - Journal of Computational Physics, 2016 - Elsevier
In this paper we propose a simple, robust and accurate nonlinear a posteriori stabilization of
the Discontinuous Galerkin (DG) finite element method for the solution of nonlinear …
the Discontinuous Galerkin (DG) finite element method for the solution of nonlinear …
[HTML][HTML] ExaHyPE: An engine for parallel dynamically adaptive simulations of wave problems
Abstract ExaHyPE (“An Exascale Hyperbolic PDE Engine”) is a software engine for solving
systems of first-order hyperbolic partial differential equations (PDEs). Hyperbolic PDEs are …
systems of first-order hyperbolic partial differential equations (PDEs). Hyperbolic PDEs are …
Hybridizable discontinuous Galerkin methods for partial differential equations in continuum mechanics
We present hybridizable discontinuous Galerkin methods for solving steady and time-
dependent partial differential equations (PDEs) in continuum mechanics. The essential …
dependent partial differential equations (PDEs) in continuum mechanics. The essential …