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 …
Efficient high order accurate staggered semi-implicit discontinuous Galerkin methods for natural convection problems
In this article we propose a new family of high order staggered semi-implicit discontinuous
Galerkin (DG) methods for the simulation of natural convection problems. Assuming small …
Galerkin (DG) methods for the simulation of natural convection problems. Assuming small …
An Arbitrary-Lagrangian-Eulerian hybrid finite volume/finite element method on moving unstructured meshes for the Navier-Stokes equations
This paper presents a novel semi-implicit hybrid finite volume/finite element (FV/FE) scheme
for the numerical solution of the incompressible and weakly compressible Navier-Stokes …
for the numerical solution of the incompressible and weakly compressible Navier-Stokes …
Asymptotic preserving IMEX finite volume schemes for low Mach number Euler equations with gravitation
G Bispen, M Lukáčová-Medvid'ová, L Yelash - Journal of Computational …, 2017 - Elsevier
In this paper we will present and analyze a new class of the IMEX finite volume schemes for
the Euler equations with a gravity source term. We will in particular concentrate on a singular …
the Euler equations with a gravity source term. We will in particular concentrate on a singular …
[HTML][HTML] An IMEX-DG solver for atmospheric dynamics simulations with adaptive mesh refinement
We present an accurate and efficient solver for atmospheric dynamics simulations that
allows for non-conforming mesh refinement. The model equations are the conservative …
allows for non-conforming mesh refinement. The model equations are the conservative …
[HTML][HTML] A family of well-balanced WENO and TENO schemes for atmospheric flows
We herein present a novel methodology to construct very high order well-balanced schemes
for the computation of the Euler equations with gravitational source term, with application to …
for the computation of the Euler equations with gravitational source term, with application to …
A semi‐implicit, semi‐Lagrangian discontinuous Galerkin framework for adaptive numerical weather prediction
We present an adaptive discretization approach for model equations typical of numerical
weather prediction (NWP), which combines the semi‐Lagrangian technique with a semi …
weather prediction (NWP), which combines the semi‐Lagrangian technique with a semi …
Resiliency in numerical algorithm design for extreme scale simulations
This work is based on the seminar titled 'Resiliency in Numerical Algorithm Design for
Extreme Scale Simulations' held March 1–6, 2020, at Schloss Dagstuhl, that was attended …
Extreme Scale Simulations' held March 1–6, 2020, at Schloss Dagstuhl, that was attended …
[HTML][HTML] Combination of WENO and explicit Runge–Kutta methods for wind transport in the Meso-NH model
T Lunet, C Lac, F Auguste, F Visentin… - Monthly weather …, 2017 - journals.ametsoc.org
Combination of WENO and Explicit Runge–Kutta Methods for Wind Transport in the Meso-NH
Model in: Monthly Weather Review Volume 145 Issue 9 (2017) Jump to Content Jump to Main …
Model in: Monthly Weather Review Volume 145 Issue 9 (2017) Jump to Content Jump to Main …
A massively parallel hybrid finite volume/finite element scheme for computational fluid dynamics
In this paper, we propose a novel family of semi-implicit hybrid finite volume/finite element
schemes for computational fluid dynamics (CFD), in particular for the approximate solution of …
schemes for computational fluid dynamics (CFD), in particular for the approximate solution of …