Fast-wave slow-wave spectral deferred correction methods applied to the compressible Euler equations
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910961320853504 |
|---|---|
| author | Brown, Alex Fregin, Joscha Bendall, Thomas Melvin, Thomas Ruprecht, Daniel Shipton, Jemma |
| author_facet | Brown, Alex Fregin, Joscha Bendall, Thomas Melvin, Thomas Ruprecht, Daniel Shipton, Jemma |
| contents | This paper investigates the application of a fast-wave slow-wave spectral deferred correction time-stepping method (FWSW-SDC) to the compressible Euler equations. The resulting model achieves arbitrary order accuracy in time, demonstrating robust performance in standard benchmark idealised test cases for dynamical cores used for numerical weather prediction. The model uses a compatible finite element spatial discretisation, achieving good linear wave dispersion properties without spurious computational modes. A convergence test confirms the model's high temporal accuracy. Arbitrarily high spatial-temporal convergence is demonstrated using a gravity wave test case. The model is further extended to include the parametrisation of a simple physics process by adding two phases of moisture and its validity is demonstrated for a rising thermal problem. Finally, a baroclinic wave in simulated in a Cartesian domain. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_15985 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fast-wave slow-wave spectral deferred correction methods applied to the compressible Euler equations Brown, Alex Fregin, Joscha Bendall, Thomas Melvin, Thomas Ruprecht, Daniel Shipton, Jemma Numerical Analysis Atmospheric and Oceanic Physics This paper investigates the application of a fast-wave slow-wave spectral deferred correction time-stepping method (FWSW-SDC) to the compressible Euler equations. The resulting model achieves arbitrary order accuracy in time, demonstrating robust performance in standard benchmark idealised test cases for dynamical cores used for numerical weather prediction. The model uses a compatible finite element spatial discretisation, achieving good linear wave dispersion properties without spurious computational modes. A convergence test confirms the model's high temporal accuracy. Arbitrarily high spatial-temporal convergence is demonstrated using a gravity wave test case. The model is further extended to include the parametrisation of a simple physics process by adding two phases of moisture and its validity is demonstrated for a rising thermal problem. Finally, a baroclinic wave in simulated in a Cartesian domain. |
| title | Fast-wave slow-wave spectral deferred correction methods applied to the compressible Euler equations |
| topic | Numerical Analysis Atmospheric and Oceanic Physics |
| url | https://arxiv.org/abs/2505.15985 |