Variational stochastic parameterisations and their applications to primitive equation models
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Published version
Author(s)
Hu, Ruiao
Patching, Stuart
Type
Chapter
Abstract
We present a numerical investigation into the stochastic parameterisations of the Primitive Equations (PE) using the Stochastic Advection by Lie Transport (SALT) and Stochastic Forcing by Lie Transport (SFLT) frameworks. These frameworks were chosen due to their structure-preserving introduction of stochasticity, which decomposes the transport velocity and fluid momentum into their drift and stochastic parts, respectively. In this paper, we develop a new calibration methodology to implement the momentum decomposition of SFLT and compare with the Lagrangian path methodology implemented for SALT. The resulting stochastic Primitive Equations are then integrated numerically using a modification of the FESOM2 code. For certain choices of the stochastic parameters, we show that SALT causes an increase in the eddy kinetic energy field and an improvement in the spatial spectrum. SFLT also shows improvements in these areas, though to a lesser extent. SALT does, however, have the drawback of an excessive downwards diffusion of temperature.
Editor(s)
Chapron, B
Crisan, D
Holm, Darryl
Memin, E
Radomska, A
Date Issued
2023-01-01
Citation
Stochastic Transport in Upper Ocean Dynamics (STUOD 2021), 2023, pp.135-158
ISBN
978-3-031-18987-6
Publisher
Springer, Cham
Start Page
135
End Page
158
Journal / Book Title
Stochastic Transport in Upper Ocean Dynamics (STUOD 2021)
Copyright Statement
© 2023 The Author(s). This chapter is licensed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.
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The images or other third party material in this chapter are included in the chapter's Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the chapter's Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
License URL
Date Publish Online
2022-09-24