A review of element-based Galerkin methods for numerical weather prediction: Finite elements, spectral elements, and discontinuous Galerkin
Numerical weather prediction (NWP) is in a period of transition. As resolutions increase,
global models are moving towards fully nonhydrostatic dynamical cores, with the local and …
global models are moving towards fully nonhydrostatic dynamical cores, with the local and …
[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] 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 …
Positivity-preserving high order well-balanced discontinuous Galerkin methods for the shallow water equations
Shallow water equations with a non-flat bottom topography have been widely used to model
flows in rivers and coastal areas. An important difficulty arising in these simulations is the …
flows in rivers and coastal areas. An important difficulty arising in these simulations is the …
A study of spectral element and discontinuous Galerkin methods for the Navier–Stokes equations in nonhydrostatic mesoscale atmospheric modeling: Equation sets …
FX Giraldo, M Restelli - Journal of Computational Physics, 2008 - Elsevier
We present spectral element (SE) and discontinuous Galerkin (DG) solutions of the Euler
and compressible Navier–Stokes (NS) equations for stratified fluid flow which are of …
and compressible Navier–Stokes (NS) equations for stratified fluid flow which are of …
Recent advances on the discontinuous Galerkin method for shallow water equations with topography source terms
A Duran, F Marche - Computers & Fluids, 2014 - Elsevier
We consider in this work the discontinuous Galerkin discretization of the nonlinear shallow
water equations on unstructured triangulations. In the recent years, several improvements …
water equations on unstructured triangulations. In the recent years, several improvements …
Exactly well-balanced discontinuous Galerkin methods for the shallow water equations with moving water equilibrium
Y Xing - Journal of Computational Physics, 2014 - Elsevier
Hyperbolic conservation laws with source terms often admit steady state solutions where the
fluxes and source terms balance each other. To capture this balance and near-equilibrium …
fluxes and source terms balance each other. To capture this balance and near-equilibrium …
A wetting and drying treatment for the Runge–Kutta discontinuous Galerkin solution to the shallow water equations
This paper proposes a wetting and drying treatment for the piecewise linear Runge–Kutta
discontinuous Galerkin approximation to the shallow water equations. The method takes a …
discontinuous Galerkin approximation to the shallow water equations. The method takes a …
Positivity-preserving well-balanced discontinuous Galerkin methods for the shallow water equations on unstructured triangular meshes
The shallow water equations model flows in rivers and coastal areas and have wide
applications in ocean, hydraulic engineering, and atmospheric modeling. In “Xing et al. Adv …
applications in ocean, hydraulic engineering, and atmospheric modeling. In “Xing et al. Adv …
hp discontinuous Galerkin methods for advection dominated problems in shallow water flow
In this paper, we discuss the development, verification, and application of an hp
discontinuous Galerkin (DG) finite element model for solving the shallow water equations …
discontinuous Galerkin (DG) finite element model for solving the shallow water equations …