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One-Dimensional Hydrodynamic Flow in Complex Networks: State of the Art, Some Applications and Generalizations

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Southern Hemisphere Paleo- and Neoclimates

Abstract

Climates differing from the present may result in other run-off systems, resulting in a change on any scale of river networks. While this is only of minor importance in the case of small creeks, large rivers adjusting to new equilibria may result in significant changes in erosion, sedimentation, and water discharge. Knowing more about such changes is therefore essential. Fluvial deltas and basins may be simulated by means of one-dimensional mathematical models that evolve in time and take into account the partial differential equations that govern the flow in each reach and the special equations needed at the junction points of the network. In this work, some theoretical and numerical analysis of this type of modeling is described, and some implications and generalizations are indicated.

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Jacovkis, P.M. (2000). One-Dimensional Hydrodynamic Flow in Complex Networks: State of the Art, Some Applications and Generalizations. In: Smolka, P., Volkheimer, W. (eds) Southern Hemisphere Paleo- and Neoclimates. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59694-0_3

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  • DOI: https://doi.org/10.1007/978-3-642-59694-0_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-64089-6

  • Online ISBN: 978-3-642-59694-0

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