Time-parallel integration and phase averaging for the rotating shallow water equations on the sphere

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• Hiroe Yamazaki - Imperial College London
• Thursday 13 June 2024, 13:00-14:00
• West Hub, South Room.

If you have a question about this talk, please contact Jack Atkinson.

Historically, most of the efforts to parallelise the weather and climate models are put into spatial discretisation, where the atmosphere is divided into a number of overlapping domains with data being shared across the overlap. There is a limit to this way of parallelization eventually, when there is not enough computational work to be done on a very small domain while waiting for the data from the neighboring domain to arrive.

Recently the parallelism in the time discretisation have been identified as a possible way to increase concurrency in climate models. There are a couple of ways to provide parallelism in the time direction for the numerical solution of ordinary and partial differential equations. In this talk, we’ll explore a phase averaged model of the rotating shallow-water equations which computes the solution in parallel within each timestep. This is a different approach to a usual parallel-in-time methods where solutions for multiple time steps are computed in parallel. I will present a phase-averaging framework for the rotating shallow water equations, a time integration methodology for it, proof-of-concept results and error analysis in order to examine the impact of the phase averaging on the model solutions.

This talk is part of the RSE Seminars series.

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