Maps of the MSEAS forecast 3D LCSs for 09 Mar 0000Z to 13 Mar 0000Z 2022, Issued 09 Mar 2022

The following figures show the 3D Finite-Time Lyapunov Exponents (FTLEs) on the surface in the domain, at different times. These FTLEs are for a time window of 6 or 96 hours for the forecast of 09 March 2022 to 13 March 2022.

The figures below show the 3D FTLEs in the domain, at different times. These FTLE computations are for a time window of 6 or 96 hours for the forecasts on the dates as specified. The flowmaps were calculated using a PDE-based approach with 5th order spatial and 3rd order temporal schemes, and a novel composition based approach.

The 3D FTLE field specifies the amount of stretching of the flowmap in the considered time interval. Specifically, the forward / backward 3D FTLE is a logarithmic scaling of the dominant singular values of the forward / backward flowmap with the time duration of interest. The forward FTLE ridges thus highlight codimension-one manifolds (curves in 2D, surfaces in 3D) that repel particles starting on either side, whereas the backward FTLE ridges highlight codimension-one manifolds that attract particles towards the ridge that originally start far apart.

As a reminder, 12:00Z = 13:00 CET, i.e., CET is 1 hour ahead of Zulu time.


Calypso Domain (900m resolution)

96-hr Forecast 3D FTLE at 0 meters depth on March 13 0000Z

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Date 00:00Z
March 13
(Forward)
4day/new_FTLE_forward_003m_96hr_20220309_0000.png
March 13
(Backward)
4day/new_FTLE_backward_003m_96hr_20220309_0000.png

6-hr Forecast Forward 3D FTLE at 0 meters depth on four time instances for March 09 0000Z - March 13 0000Z

Start Date 00:00Z 06:00Z 12:00Z 18:00Z
March 09 6hr/new_FTLE_forward_003m_06hr_20220309_0000.png
6hr/new_FTLE_forward_003m_06hr_20220309_0600.png
6hr/new_FTLE_forward_003m_06hr_20220309_1200.png
6hr/new_FTLE_forward_003m_06hr_20220309_1800.png
March 10 6hr/new_FTLE_forward_003m_06hr_20220310_0000.png
6hr/new_FTLE_forward_003m_06hr_20220310_0600.png
6hr/new_FTLE_forward_003m_06hr_20220310_1200.png
6hr/new_FTLE_forward_003m_06hr_20220310_1800.png