Vertical slice modelling of nonlinear Eady waves using a compatible finite element method

DOI10.1016/j.jcp.2017.04.006zbMath1380.86009arXiv1611.04929OpenAlexW2549647386MaRDI QIDQ1693441

Hiroe Yamazaki, Lawrence Mitchell, Jemma Shipton, Colin John Cotter, Michael John Priestley Cullen

Publication date: 31 January 2018

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.04929

zbMATH Keywords

mixed finite elementsfrontogenesisnumerical weather predictionasymptotic convergenceEady modelsemigeostrophic

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Meteorology and atmospheric physics (86A10)

Related Items (7)

A quasi-Hamiltonian discretization of the thermal shallow water equations ⋮ A new implementation of the geometric method for solving the Eady slice equations ⋮ Compatible finite element methods for geophysical fluid dynamics ⋮ A compatible finite element discretisation for the nonhydrostatic vertical slice equations ⋮ Entropic optimal transport solutions of the semigeostrophic equations ⋮ Stability, well-posedness and blow-up criterion for the incompressible slice model ⋮ The `recovered space' advection scheme for lowest-order compatible finite element methods

Uses Software

• FIAT
• PETSc
• MUMPS
• Firedrake
• petsc4py
• FIAT

Cites Work

• A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
• Simulations of moist convection by a variational multiscale stabilized finite element method
• The NCAR spectral element climate dynamical core: semi-implicit Eulerian formulation
• A finite element exterior calculus framework for the rotating shallow-water equations
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• Embedded discontinuous Galerkin transport schemes with localised limiters
• Mixed finite elements for numerical weather prediction
• Continuous and discontinuous Galerkin methods for a scalable three-dimensional nonhydrostatic atmospheric model: limited-area mode
• Monge-Ampère based moving mesh methods for numerical weather prediction, with applications to the Eady problem
• Implicit-Explicit Formulations of a Three-Dimensional Nonhydrostatic Unified Model of the Atmosphere (NUMA)
• Preconditioning discretizations of systems of partial differential equations
• Firedrake
• Modelling atmospheric flows
• A variational formulation of vertical slice models

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