Danilov, S., Juricke, Stephan , Nowak, K., Sidorenko, D. and Wang, Q. (2024) Extracting Spatial Spectra Using Coarse‐Graining Based On Implicit Filters. Journal of Advances in Modeling Earth Systems, 16 (5). Art.Nr.: e2023MS003946. DOI 10.1029/2023MS003946.

Preview

Text J Adv Model Earth Syst - 2024 - Danilov - Extracting Spatial Spectra Using Coarse‐Graining Based On Implicit Filters.pdf - Published Version Available under License Creative Commons: Attribution 4.0. Download (1MB) | Preview

Abstract

Scale analysis based on coarse‐graining has been proposed recently as an alternative to Fourier analysis. It requires interpolation to a regular mesh for data from unstructured‐mesh models. We propose an alternative coarse‐graining method which relies on implicit filters using powers of discrete Laplacians. This method can work on arbitrary (structured or unstructured) meshes and is applicable to the direct output of unstructured‐mesh models. Illustrations and detailed discussions are provided for discrete fields placed at vertices of triangular meshes. The case with placement on triangles is also briefly discussed.

Plain Language Summary

When studying ocean flows scientists are interested in how flow energy is distributed over scales. Ocean circulation models simulate these flows on computational meshes, and some models use highly variable meshes, such as unstructured triangular meshes. To eliminate the effect of mesh inhomogeneity, the output of such models is first interpolated to a regular quadrilateral mesh, which implies additional work and may create uncertainties. The method we propose does not require this interpolation and can be applied to the output of such models directly.

Key Points :
- A coarse‐graining technique for unstructured meshes based on implicit filters is proposed for the analysis of energy distribution over scales
- The technique is well suited for scalar and vector quantities in both flat and spherical geometry

Actions (login required)

View Item