Quantifying Uncertainty for Coherent Structures
Name
Ravela-2012-Quantifying Uncertai.pdf
Size
1.83 MB
Format
Adobe PDF
Checksum (MD5)
25dd5a4847ad8cd2ac4bac228fbde6a2
Author(s)
Ravela, Sai
Date Issued
June 2012
Journal
Procedia Computer Science
Publisher
Elsevier
Citation
Ravela, S. “Quantifying Uncertainty for Coherent Structures.” Procedia Computer Science 9 (2012): 1187–1196. © 2012 Elsevier Ltd.
Version
Final published version
Abstract
Field Alignment is a useful and often necessary preprocessing step in contemporary geophysical state and parameter estimation of coherent structures. In an advance, we introduce a new framework for using Field Alignment to quantify uncertainty from an ensemble of coherent structures. Our method, called Coalescence, discovers the mean field under non-trivial misalignments of fields with complex shapes, which is especially diffcult to calculate in the presence of sparse observations. We solve the associated Field Alignment problem using novel constraints derived from turbulent displacement spectra. In conjunction with a continuation method called Scale Cascaded Alignment (SCA), we are able to extract simpler explanations of the error between fields before cascading to more complex deformation solutions. For coherent structures, SCA and Coalescence have the potential to change the way uncertainty is quantified and data is assimilated. We illustrate utility here in a Nowcasting application.
MIT Department
Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences
Terms of Use
Creative Commons Attribution
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1016/j.procs.2012.04.128
