Maps of 3D LCSs for 20 Apr 1600Z to 23 Apr 1600Z 2021, Issued 19 Apr 2021

The following figures show the 3D Finite-Time Lyapunov Exponents (FTLEs) at the bottom level of the domain. These FTLEs are for a time window of 72 for the forecast of 20 April 2021 to 23 April 2021.

The figures below show the 3D FTLEs in the domain. These FTLE computations are for a time window of 72 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 = 05:00 PDT, i.e., PDT is 7 hours behind Zulu time.


Belgian Mining Area (600 m resolution)

Release Time Forward FTLE Backward FTLE
0900 PDT (1600Z) forward_72hr_20210420_1601.png
backward_72hr_20210420_1601.png
1500 PDT (2200Z) forward_72hr_20210420_2201.png
backward_72hr_20210420_2201.png