Dr Hossein Amini Kafiabad hossein.amini-kafiabad@durham.ac.uk
Associate Professor
Lagrangian averaging has been shown to be more effective than the Eulerian mean in separating waves from slow dynamics in two time scale flows. It also appears in many reduced models that capture the wave feedback on the slow flow. Its calculation, however, requires tracking particles in time, which imposes several difficulties in grid-based numerical simulations or estimation from fixed-point measurements. To circumvent these difficulties, we propose a grid-based iterative method to calculate the Lagrangian mean without tracking particles in time, which also reduces computation, memory footprint and communication between processors in parallelised numerical models. To assess the accuracy of this method several examples are examined and discussed. We also explore an application of this method in the context of shallow-water equations by quantifying the validity of wave-averaged geostrophic balance - a modified form of geostrophic balance accounting for the effect of strong waves on slow dynamics.
Kafiabad, H. A. (2022). Grid-based calculation of the Lagrangian mean. Journal of Fluid Mechanics, 940, Article A21. https://doi.org/10.1017/jfm.2022.233
Journal Article Type | Article |
---|---|
Acceptance Date | Mar 8, 2022 |
Online Publication Date | Apr 8, 2022 |
Publication Date | Jun 10, 2022 |
Deposit Date | Apr 30, 2025 |
Journal | Journal of Fluid Mechanics |
Print ISSN | 0022-1120 |
Electronic ISSN | 1469-7645 |
Publisher | Cambridge University Press |
Peer Reviewed | Peer Reviewed |
Volume | 940 |
Article Number | A21 |
DOI | https://doi.org/10.1017/jfm.2022.233 |
Public URL | https://durham-repository.worktribe.com/output/3806437 |
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