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A library for dynamical cores of atmosphere and ocean models with discontinuous Galerkin finite element method

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ywkawai/FE-Project

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FE-project

What is this project?

In FE-Project, we develop a library for fluid simulations with the discontinuous Galerkin method (DGM). We also provide sample programs and atmospheric models for meteorological simulations.

  • Example of simulation results by nonhydrostatic atmospheric models with nodal DGM

A simulation of density current

A simulation of idealized baroclinic instability

For more animations, please see 'FE-project gallery' channel on YouTube (url: https://www.youtube.com/channel/UCO17OQtKHwkkQwmHD9y9mQg/featured) or Wiki of FE-project on github.

Models with FE library

Shallow water model

  • Global shallow water model using cubed-sphere mesh

Nonhydrostatic atmospheric model

  • Simple 2D model with only dynamical process
  • Regional and Global models

Simple samples for intrduction to DGM.

1D problems

  • Linear advection equation
    • various profiles of advected quantity
    • the eigenvalue analysis
  • Linear advection-diffusion equation

2D problems

  • Linear advection equation in a rectangle domain
    • various profiles of advected quantity and flow
  • Linear advection equation in a cubed sphere domain

3D problems

  • Linear advection equation in a cubic domain
    • various profiles of advected quantity
  • Linear advection equation in a cubed sphere domain
  • Euler equation in a cubic domain
    • Test the propagation of sound waves with HEVI temporal methods

Build FE library

Please see ``INSTALL.md''.

Acknowledgements

This project is supported by the Transformaive Research Areas B: DNA Climate Science (MEXT KAKENHI Grant Number JP20H05731), Moonshot Goal8 Realization of a society safe from the threat of extreme winds and rains by controlling and modifying the weather by 2050 (Development of an atmospheric simulation model for probability estimation for local atmospheric phenomena), JICA and JST SATREPS (grant Number: JPMJSA2109), JST AIP Grant Number JPMJCR19U2, and the Foundation for Computational Science (FOCUS) Establishing Supercomputing Center of Excellence. The model development and validation experiments are performed using supercomputers (Oackbridge-CX and Wisteria) at the University of Tokyo and Fugaku at RIKEN (Project ID: ra000005, hp200271, hp230278).