Bonhof, Rick (2025) Computational Fluid Dynamics of Hot Jupiters - Using Shallow Water Initial Value Problems with Dedalus3. Master's Thesis / Essay, Astronomy.
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Abstract
We present a qualitative study of short-timescale atmospheric simulations of hot Jupiters, using an idealised model of a highly stratified atmosphere through the use of Shallow Water equations. To this end, we use Dedalus3, a sparse tau spectral solver, to solve for the initial value problem of a hot Jupiter experiencing height forcing as an analogue to heating from its parent star. Testing the numerical framework Dedalus3 on the benchmark for a mid-latitude perturbed jet from J. Galewsky et al. (2004), we find a close match, supporting the use of Dedalus3 for Shallow Water Models. Constructed viscous Shallow Water Models models using zonal wind velocity profiles, as measured by JWST with the F164N filter, are ran over several spectral resolutions to test for numerical convergence when perturbed and report machine precision across differing timesteps for the vorticity field. Lastly, height forcing is introduced to the exoplanet's atmosphere to simulate close proximity to its parent star, running over 2000h with timesteps of 20s, with both the JWST wind profile and one without initial velocity parameters. We find that both cases result in strong polar vortices with opposing rotation between the two models, along with the JWST wind profile model displaying a more chaotic system with larger eddies.
| Item Type: | Thesis (Master's Thesis / Essay) |
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| Supervisor name: | Changeat, Q. and Tak, F.F.S. van der |
| Degree programme: | Astronomy |
| Thesis type: | Master's Thesis / Essay |
| Language: | English |
| Date Deposited: | 10 Dec 2025 10:24 |
| Last Modified: | 10 Dec 2025 10:24 |
| URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/37158 |
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