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Fluvial Dynamics, Hypocycloids, and Hydro-Dynamic Cycles
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Author(s): Vladan Kuzmanović (University of Belgrade, Belgrade, Serbia)
Copyright: 2022
Pages: 15
Source title:
Handbook of Research on Water Sciences and Society
Source Author(s)/Editor(s): Ashok Vaseashta (International Clean Water Institute, USA & Transylvania University of Brasov, Romania & Academy of Sciences of Moldova, Moldova), Gheorghe Duca (Institute of Chemistry, Moldova State University, Moldova & Academy of Science of Moldova and Romanian Academy, Romania.)and Sergey Travin (Federal Research Center for Chemical Physics and N. N. Semenov of the Russian Academy of Sciences, Russia)
DOI: 10.4018/978-1-7998-7356-3.ch035
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Abstract
Complex hydrological models find adequate formalization in co-nodal systems, given the abundance, multiplication, dynamics, relations of elements (hubs and nodes) and systems (basins and rivers), as well as chronologies. Hydrological models function on the principle of nodes and orientations. Hypo-cycloids (in the text: h-Cycloids) are time-spatial categories; the subject of hydrodynamic nonlinear analysis, they do not exist entirely realistically as recent flows, but are present only partially, phased, as partial flows. Hypo-cycloids are formed by summing cycles with a combination of overlapping and alternating flows. Cycles are time-spatial categories of co-nodal reconstruction. Fluvial dynamics is logically composed of nodal sets, hub systems, and junctions that are polyvalues (polyvalent, multi-oriented, cyclic) of a diverse model rather than a single-oriented output of just a simple physical model. The chapter examines four of the world's largest interfluviums: Parana-Paraguay, Euphrates-Tigris, Mississippi-Ohio, Danube-Tisza.
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