Maps of 3D LCSs for 09 May 1800Z to 12 May 1800Z 2021, Issued 09 May 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 hours for the forecast of 09 May 2021 to 12 May 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.


German Mining Area (600 m resolution)

Release Time Forward FTLE Backward FTLE
1100 PDT (1800Z) forward_72hr_20210509_1800.png
backward_72hr_20210509_1800.png