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 …
101 geodynamic modelling: How to design, carry out, and interpret numerical studies
Geodynamic modelling provides a powerful tool to investigate processes in the Earth's crust,
mantle, and core that are not directly observable. However, numerical models are inherently …
mantle, and core that are not directly observable. However, numerical models are inherently …
[PDF][PDF] Relap-7 theory manual
RA Berry, JW Peterson, H Zhang, RC Martineau… - 2018 - osti.gov
RELAP-7 Theory Manual Page 1 INL REPORT INL/EXT-14-31366 (Revision 3) Unlimited
Release Printed March 2018 RELAP-7 Theory Manual RA Berry, L. Zou, H. Zhao, H. Zhang, JW …
Release Printed March 2018 RELAP-7 Theory Manual RA Berry, L. Zou, H. Zhao, H. Zhang, JW …
[HTML][HTML] 101 geodynamic modelling: how to design, interpret, and communicate numerical studies of the solid Earth
Geodynamic modelling provides a powerful tool to investigate processes in the Earth's crust,
mantle, and core that are not directly observable. However, numerical models are inherently …
mantle, and core that are not directly observable. However, numerical models are inherently …
Enriched Galerkin methods for two-phase flow in porous media with capillary pressure
S Lee, MF Wheeler - Journal of Computational Physics, 2018 - Elsevier
In this paper, we propose an enriched Galerkin (EG) approximation for a two-phase
pressure saturation system with capillary pressure in heterogeneous porous media. The EG …
pressure saturation system with capillary pressure in heterogeneous porous media. The EG …
A posteriori local subcell correction of high-order discontinuous galerkin scheme for conservation laws on two-dimensional unstructured grids
F Vilar, R Abgrall - SIAM Journal on Scientific Computing, 2024 - SIAM
In this paper, we present the two-dimensional unstructured grids extension of the a posteriori
local subcell correction of discontinuous Galerkin (DG) schemes introduced in [F. Vilar, J …
local subcell correction of discontinuous Galerkin (DG) schemes introduced in [F. Vilar, J …
Numerical investigation of a viscous regularization of the Euler equations by entropy viscosity
M Nazarov, A Larcher - Computer Methods in Applied Mechanics and …, 2017 - Elsevier
Abstract The Navier–Stokes viscous fluxes are a well-known viscous regularization of the
Euler equations. However, since these fluxes do not add any viscosity to the mass equation …
Euler equations. However, since these fluxes do not add any viscosity to the mass equation …
From suitable weak solutions to entropy viscosity
This paper focuses on the notion of suitable weak solutions for the three-dimensional
incompressible Navier–Stokes equations and discusses the relevance of this notion to …
incompressible Navier–Stokes equations and discusses the relevance of this notion to …
Evaluating the accuracy of hybrid finite element/particle-in-cell methods for modelling incompressible Stokes flow
R Gassmöller, H Lokavarapu… - Geophysical Journal …, 2019 - academic.oup.com
Combining finite element methods for the incompressible Stokes equations with particle-in-
cell methods is an important technique in computational geodynamics that has been widely …
cell methods is an important technique in computational geodynamics that has been widely …
Stability analysis of explicit entropy viscosity methods for non-linear scalar conservation equations
We establish the $ L^ 2$-stability of an entropy viscosity technique applied to nonlinear
scalar conservation equations. First-and second-order explicit time-stepping techniques …
scalar conservation equations. First-and second-order explicit time-stepping techniques …