Exact spatial and temporal balance of energy exchanges within a horizontally explicit/vertically implicit non-hydrostatic atmosphere
DOI10.1016/j.jcp.2021.110432OpenAlexW3100857823MaRDI QIDQ2129338
Publication date: 22 April 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.07861
IMEXnon-hydrostaticmimetichorizontally explicit/vertically implicitcompatible finite elementenergetically balanced
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Geophysics (86Axx)
Related Items (2)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Runge-Kutta IMEX schemes for the Horizontally Explicit/Vertically Implicit (HEVI) solution of wave equations
- Linear energy-preserving integrators for Poisson systems
- Efficient construction of unified continuous and discontinuous Galerkin formulations for the 3D Euler equations
- Physics-compatible discretization techniques on single and dual grids, with application to the Poisson equation of volume forms
- High order geometric methods with exact conservation properties
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- Discrete conservation properties for shallow water flows using mixed mimetic spectral elements
- A mixed mimetic spectral element model of the rotating shallow water equations on the cubed sphere
- A spectral mimetic least-squares method for the Stokes equations with no-slip boundary condition
- Petrov-Galerkin flux upwinding for mixed mimetic spectral elements, and its application to geophysical flow problems
- Construction and application of algebraic dual polynomial representations for finite element methods on quadrilateral and hexahedral meshes
- An energetically balanced, quasi-Newton integrator for non-hydrostatic vertical atmospheric dynamics
- A mixed mimetic spectral element model of the 3D compressible Euler equations on the cubed sphere
- Implicit-Explicit Formulations of a Three-Dimensional Nonhydrostatic Unified Model of the Atmosphere (NUMA)
- Edge Functions for Spectral Element Methods
- Numerical Methods for Fluid Dynamics
- Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems
This page was built for publication: Exact spatial and temporal balance of energy exchanges within a horizontally explicit/vertically implicit non-hydrostatic atmosphere
