Derivation of Geodesic Flow Fields and Spectrum in Digital Topographic Basins

Figure 7

Result of simulation at different time instances. (a) inlet point or set S₁ from which the water flows into tidal basin, (b) water propagation from S₁ (marker set) into mask set (S₂), (c) flow fields propagating from marker-set S₂ into set S₃—nonchannelized set or the influence zone of set S₂—that acts as a mask set, (d) set S₄ the mask set that gets flooded due to the water flowing from the marker set S₁ after sets S₂ and S₃ are completely flooded, (e) set S₅—nonchannelized (influence) zone of set S₄ gets flooded from the marker set S₄, (f) set S₆ that acts as mask set to allow the water flows from the extreme tips of set S₄, (g) set S₇ the influence zone of the channelized set S₆—here the mask set S₇ would be progressively flooded from the water flowing from the marker set S₆, (h) channelized mask set S₈ in which the water flows from the extremities of set S₆, and (i) mask set S₉—influence zone of set S₈—gets progressively flooded due to water flowing from set S₈ that acts as a marker set to fill the water in its corresponding mask set S₉.

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