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Journal ArticleDOI

A terrain-following grid transform and preconditioner for parallel, large-scale, integrated hydrologic modeling

Reed M. Maxwell
- 01 Mar 2013 - 
- Vol. 53, pp 109-117
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TLDR
Cases where the analytical Jacobian is used for the Newton iteration and as a non-symmetric preconditioner for the linear system are shown to have faster computation times and better scaling, demonstrating the importance of solver efficiency in parallel scaling through the use of an appropriate preconditionser.
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This article is published in Advances in Water Resources.The article was published on 2013-03-01. It has received 200 citations till now. The article focuses on the topics: Preconditioner & Newton's method.

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Modeling Soil Processes: Review, Key Challenges, and New Perspectives

Harry Vereecken, +49 more
- 01 May 2016 - 
TL;DR: Key challenges in modeling soil processes are identified, including the systematic incorporation of heterogeneity and uncertainty, the integration of data and models, and strategies for effective integration of knowledge on physical, chemical, and biological soil processes.
Journal ArticleDOI

Connections between groundwater flow and transpiration partitioning

TL;DR: In this paper, the authors used integrated hydrologic simulations that couple vegetation and land-energy processes with surface and subsurface hydrology to study transpiration partitioning at the continental scale.
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Global hydrology 2015: State, trends, and directions

TL;DR: A review of the current state of global hydrological modeling can be found in this article, which discusses past and recent developments, and extrapolates these to future challenges and directions.
References
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Journal ArticleDOI

A closed-form equation for predicting the hydraulic conductivity of unsaturated soils

TL;DR: Van Genuchten et al. as mentioned in this paper proposed a closed-form analytical expression for predicting the hydraulic conductivity of unsaturated soils based on the Mualem theory, which can be used to predict the unsaturated hydraulic flow and mass transport in unsaturated zone.
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Capillary conduction of liquids through porous mediums

Lorenzo Adolph Richards
- 01 Nov 1931 - 
TL;DR: In this article, the authors used Darcey's law to derive the equation K∇2ψ+∇K·∇ψ +g∂K/∂z=−ρsA∆ψ/∆t for the capillary conduction of liquids in porous mediums.
Journal ArticleDOI

Jacobian-free Newton-Krylov methods: a survey of approaches and applications

TL;DR: The aim of this paper is to present the reader with a perspective on how JFNK may be applicable to applications of interest and to provide sources of further practical information.
Journal ArticleDOI

Hybrid Krylov methods for nonlinear systems of equations

TL;DR: To improve the global convergence properties of these basic algorithms, hybrid methods based on Powell's dogleg strategy are proposed, as well as linesearch backtracking procedures.
Journal ArticleDOI

Integrated surface-groundwater flow modeling: A free-surface overland flow boundary condition in a parallel groundwater flow model

TL;DR: Ashby et al. as discussed by the authors proposed a more general coupled model that incorporates a new two-dimensional overland flow simulator into the parallel three-dimensional variably saturated subsurface flow code ParFlow.
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