2017
DOI: 10.3390/fluids2030047
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Non-Iterative Partitioned Methods for Uncoupling Evolutionary Groundwater–Surface Water Flows

Abstract: Abstract:We present an overview of a modern, efficient approach for uncoupling groundwater-surface water flows governed by the fully evolutionary Stokes-Darcy equations. Referred to as non-iterative partitioned methods, these algorithms treat the coupling terms explicitly and at each time level require only one Stokes and one Darcy sub-physics solve, thus taking advantage of existing solvers optimized for each sub-flow. This strategy often results in a time-step condition for stability. Furthermore, small prob… Show more

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Cited by 2 publications
(1 citation statement)
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“…One general direction of the exchange of water masses is when surface water recharges groundwater, while in drought periods, when the surface-water level drops below the groundwater table, the flow direction is reversed. Appropriate mathematical models to solve practical problems of subsurface hydrology are complicated and demand many model parameters [99], particularly in strongly heterogeneous soils [100]. Anthropogenic activities such as damming may drastically change rivers' natural sedimentological and geomorphological conditions.…”
Section: Groundwater Issuesmentioning
confidence: 99%
“…One general direction of the exchange of water masses is when surface water recharges groundwater, while in drought periods, when the surface-water level drops below the groundwater table, the flow direction is reversed. Appropriate mathematical models to solve practical problems of subsurface hydrology are complicated and demand many model parameters [99], particularly in strongly heterogeneous soils [100]. Anthropogenic activities such as damming may drastically change rivers' natural sedimentological and geomorphological conditions.…”
Section: Groundwater Issuesmentioning
confidence: 99%