A review of element-based Galerkin methods for numerical weather prediction: Finite elements, spectral elements, and discontinuous Galerkin

S Marras, JF Kelly, M Moragues, A Müller… - … Methods in Engineering, 2016 - Springer
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 …

Efficient high order accurate staggered semi-implicit discontinuous Galerkin methods for natural convection problems

S Busto, M Tavelli, W Boscheri, M Dumbser - Computers & Fluids, 2020 - Elsevier
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 …

An Arbitrary-Lagrangian-Eulerian hybrid finite volume/finite element method on moving unstructured meshes for the Navier-Stokes equations

S Busto, M Dumbser, L Río-Martín - Applied Mathematics and Computation, 2023 - Elsevier
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 …

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 …

[HTML][HTML] An IMEX-DG solver for atmospheric dynamics simulations with adaptive mesh refinement

G Orlando, T Benacchio, L Bonaventura - Journal of Computational and …, 2023 - Elsevier
We present an accurate and efficient solver for atmospheric dynamics simulations that
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

A Navas-Montilla, I Echeverribar - Journal of Computational Physics, 2023 - Elsevier
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 …

A semi‐implicit, semi‐Lagrangian discontinuous Galerkin framework for adaptive numerical weather prediction

G Tumolo, L Bonaventura - Quarterly Journal of the Royal …, 2015 - Wiley Online Library
We present an adaptive discretization approach for model equations typical of numerical
weather prediction (NWP), which combines the semi‐Lagrangian technique with a semi …

Resiliency in numerical algorithm design for extreme scale simulations

E Agullo, M Altenbernd, H Anzt… - … Journal of High …, 2022 - journals.sagepub.com
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 …

[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 …

A massively parallel hybrid finite volume/finite element scheme for computational fluid dynamics

L Río-Martín, S Busto, M Dumbser - Mathematics, 2021 - mdpi.com
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 …