Sprecher
Beschreibung
Scale analysis based on coarse-graining has recently been proposed as an alternative to Fourier analysis for the analysis of eddy-rich ocean simulation data. It requires interpolation to a regular grid for data on general meshes, especially for the output of unstructured-mesh models. We propose an alternative coarse-graining method based on implicit filters using powers of discrete Laplacians. Since discrete Laplacians can be provided for any mesh, this method can work with data on arbitrary (structured or unstructured) meshes and is directly applicable to both scalar and vector data in spherical geometry. We explain the mathematical side of the method and give illustrations of filtering and power spectrum computation using FESOM output on native triangular meshes. A fast Python-based implementation is available for FESOM data, and support for other meshes will be provided in the future.
