The future of coastal and estuarine modeling: Findings from a workshop
This paper summarizes the findings of a workshop convened in the United States in 2018 to
discuss methods in coastal and estuarine modeling and to propose key areas of research …
discuss methods in coastal and estuarine modeling and to propose key areas of research …
High-order accurate, low numerical diffusion methods for aerodynamics
JA Ekaterinaris - Progress in Aerospace Sciences, 2005 - Elsevier
In recent years numerical methods have been widely used to effectively resolve complex
flow features of aerodynamics flows with meshes that are reasonable for today's computers …
flow features of aerodynamics flows with meshes that are reasonable for today's computers …
[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 …
[图书][B] Numerical methods for conservation laws: From analysis to algorithms
JS Hesthaven - 2017 - SIAM
Emerging as the mathematical expression of principles of conservation, conservation laws
have proven themselves to provide effective and accurate predictive models of our physical …
have proven themselves to provide effective and accurate predictive models of our physical …
[图书][B] Scientific Computation
P Joly, A Quarteroni, J Rappaz - 2005 - Springer
Two decades ago when we wrote Spectral Methods in Fluid Dynamics (1988), the subject
was still fairly novel. Motivated by the many favorable comments we have received and the …
was still fairly novel. Motivated by the many favorable comments we have received and the …
A high-order discontinuous Galerkin method for wave propagation through coupled elastic–acoustic media
We introduce a high-order discontinuous Galerkin (dG) scheme for the numerical solution of
three-dimensional (3D) wave propagation problems in coupled elastic–acoustic media. A …
three-dimensional (3D) wave propagation problems in coupled elastic–acoustic media. A …
On discretely entropy conservative and entropy stable discontinuous Galerkin methods
J Chan - Journal of Computational Physics, 2018 - Elsevier
High order methods based on diagonal-norm summation by parts operators can be shown
to satisfy a discrete conservation or dissipation of entropy for nonlinear systems of …
to satisfy a discrete conservation or dissipation of entropy for nonlinear systems of …
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 …
Dispersive and dissipative properties of discontinuous Galerkin finite element methods for the second-order wave equation
M Ainsworth, P Monk, W Muniz - Journal of Scientific Computing, 2006 - Springer
Discontinuous Galerkin finite element methods (DGFEM) offer certain advantages over
standard continuous finite element methods when applied to the spatial discretisation of the …
standard continuous finite element methods when applied to the spatial discretisation of the …
A comparison of the dispersion and dissipation errors of Gauss and Gauss–Lobatto discontinuous Galerkin spectral element methods
G Gassner, DA Kopriva - SIAM Journal on Scientific Computing, 2011 - SIAM
We examine the dispersion and dissipation properties of the Gauss and Gauss–Lobatto
discontinuous Galerkin spectral element methods (DGSEMs), for linear wave propagation …
discontinuous Galerkin spectral element methods (DGSEMs), for linear wave propagation …