empyreal092 / gfd_in_dedalus

A collection of computer simulations of GFD models using the Dedalus solver.

GFD in Dedalus

This is a collection of computer simulations of Geophysical Fluid Dynamics (GFD) models using the Dedalus version 3 solver. The typed-up note is here, and the codes are in the folders organized by problems solved.

The examples in this note expand on the examples provided by the Dedalus documentation. We also implement some common functions used in GFD studies. Now we list all the models in the note:

• Barotropic vorticity model
  • Implement CFL-based adaptive timestep for models where velocities are based on streamfunctions.
  • Include function for calculating spectra for doubly periodic fields.
  • Solve the Stommel and Munk model on the circle. The only curvilinear example in the note.
• 2D QG-Near Inertial Wave (QG-NIW) model
• The Quasi-Geostrophic (QG) model
  • Baroclinically unstable two-layer QG
  • Rossby wave in linear QG
• Baroclinic modes of arbitrary stratification
• Linear instability of 3DQG
  • Greatly expands on the eigenproblem example provided by the Dedalus documentation. In particular, we show how to obtain eigenvectors for a particular field.

Please contact us if you find any mistakes. Please consider contributing to this note.

gfd_in_dedalus's Issues

Boundaries and boxes

This is very random comment and probably not helpful, but I was reading your section 1.1.4 and remembering something that one of the Dedalus devs had mentioned years ago. He had told me that boundaries are no problem, as they can always be put in using immersed boundary methods: https://www.math.ucla.edu/~ehester/project/volume-penalty-method/ .
I seem to remember that these also used to be an example where some flow was solved in a box, where the box was embedded inside a sphere (and basically part of the sphere was solid). However, I can't seem to locate this example anymore. Edit: Ok located it here: https://arxiv.org/pdf/1903.12642.pdf