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 …
High accuracy mantle convection simulation through modern numerical methods
M Kronbichler, T Heister… - Geophysical Journal …, 2012 - academic.oup.com
Numerical simulation of the processes in the Earth's mantle is a key piece in understanding
its dynamics, composition, history and interaction with the lithosphere and the Earth's core …
its dynamics, composition, history and interaction with the lithosphere and the Earth's core …
Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws
It is well known that semi-discrete high order discontinuous Galerkin (DG) methods satisfy
cell entropy inequalities for the square entropy for both scalar conservation laws (Jiang and …
cell entropy inequalities for the square entropy for both scalar conservation laws (Jiang and …
[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 …
High accuracy mantle convection simulation through modern numerical methods–II: realistic models and problems
Computations have helped elucidate the dynamics of Earth's mantle for several decades
already. The numerical methods that underlie these simulations have greatly evolved within …
already. The numerical methods that underlie these simulations have greatly evolved within …
[PDF][PDF] Variational multiscale methods in computational fluid dynamics
This article describes the Variational Multiscale Method (VMS) applied to flow problems. The
main idea of the formulation in the case of stationary linear problems is explained with some …
main idea of the formulation in the case of stationary linear problems is explained with some …
Second-order invariant domain preserving approximation of the Euler equations using convex limiting
A new second-order method for approximating the compressible Euler equations is
introduced. The method preserves all the known invariant domains of the Euler system …
introduced. The method preserves all the known invariant domains of the Euler system …
Positivity-preserving entropy-based adaptive filtering for discontinuous spectral element methods
T Dzanic, FD Witherden - Journal of Computational Physics, 2022 - Elsevier
In this work, we present a positivity-preserving entropy-based adaptive filtering method for
shock capturing in discontinuous spectral element methods. By adapting the filter strength to …
shock capturing in discontinuous spectral element methods. By adapting the filter strength to …
Deep reinforcement transfer learning of active control for bluff body flows at high Reynolds number
We demonstrate how to accelerate the computationally taxing process of deep
reinforcement learning (DRL) in numerical simulations for active control of bluff body flows at …
reinforcement learning (DRL) in numerical simulations for active control of bluff body flows at …
Flexible parallel implicit modelling of coupled thermal–hydraulic–mechanical processes in fractured rocks
M Cacace, AB Jacquey - Solid Earth, 2017 - se.copernicus.org
Theory and numerical implementation describing groundwater flow and the transport of heat
and solute mass in fully saturated fractured rocks with elasto-plastic mechanical feedbacks …
and solute mass in fully saturated fractured rocks with elasto-plastic mechanical feedbacks …