Lagrangian flow networks: dispersion, mixing and coherence trough connectivity measures
By Emilio Hernandez-Garcia, Enrico Ser-Giacomi, Vincent Rossi and Cristobal Lopez
Talk presented at the workshop CONFLOW 2015: Complex network perspectives on flow systems, Potsdam, September 2015 2015
Transport between different locations of a fluid domain could be conveniently represented by the concept of Lagrangian flow networks, in which a discrete representation of the transfer operator for the advection dynamics defines links between fluid regions. In this contribution we will describe the basics of this type of network construction. Applications to realistic geophysical flows will be thoroughly described by other participants. Fluid dispersion and mixing become naturally measured by network-theory quantities such as degree, or newly introduced network entropies. The powerful methods of community detection in graphs recently developed become useful to identify coherent regions in the fluid flow.
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