A grid refinement approach for a three‐dimensional soil‐root water transfer model

Schröder, Thomas; Tang, Liyan; Javaux, Mathieu; Vanderborght, Jan; Körfgen, B.; Vereecken, Harry

doi:10.1029/2009wr007873

Cited by 22 publications

(18 citation statements)

References 18 publications

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“…However, the cost of characterising these parameters is a major drawback when using such models. In addition, this type of model is very demanding in terms of computational power and time, which explains why it cannot be used at crop management relevant scales (Schröder et al, 2009).…”

Section: Couvreur Et Al: a Macroscopic Root Water Uptake Model Bamentioning

confidence: 99%

A simple three-dimensional macroscopic root water uptake model based on the hydraulic architecture approach

Couvreur

Vanderborght

Javaux

2012

Hydrol. Earth Syst. Sci.

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185

223

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Abstract. Many hydrological models including root water uptake (RWU) do not consider the dimension of root system hydraulic architecture (HA) because explicitly solving water flow in such a complex system is too time consuming. However, they might lack process understanding when basing RWU and plant water stress predictions on functions of variables such as the root length density distribution. On the basis of analytical solutions of water flow in a simple HA, we developed an "implicit" model of the root system HA for simulation of RWU distribution (sink term of Richards' equation) and plant water stress in three-dimensional soil water flow models. The new model has three macroscopic parameters defined at the soil element scale, or at the plant scale, rather than for each segment of the root system architecture: the standard sink fraction distribution SSF , the root system equivalent conductance K rs and the compensatory RWU conductance K comp . It clearly decouples the process of water stress from compensatory RWU, and its structure is appropriate for hydraulic lift simulation. As compared to a model explicitly solving water flow in a realistic maize root system HA, the implicit model showed to be accurate for predicting RWU distribution and plant collar water potential, with one single set of parameters, in dissimilar water dynamics scenarios. For these scenarios, the computing time of the implicit model was a factor 28 to 214 shorter than that of the explicit one. We also provide a new expression for the effective soil water potential sensed by plants in soils with a heterogeneous water potential distribution, which emerged from the implicit model equations. With the proposed implicit model of the root system HA, new concepts are brought which open avenues towards simple and mechanistic RWU models and water stress functions operational for field scale water dynamics simulation.

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Section: Couvreur Et Al: a Macroscopic Root Water Uptake Model Bamentioning

confidence: 99%

A simple three-dimensional macroscopic root water uptake model based on the hydraulic architecture approach

Couvreur

Vanderborght

Javaux

2012

Hydrol. Earth Syst. Sci.

Self Cite

185

223

View full text Add to dashboard Cite

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“…Relative units compared with A. Schroeder et al (2009) illustrated the negative impact of local conductivity drops around roots in drying soils on the water uptake process. The importance of the ratio between axial and radial root conductivities and of the soil type was also highlighted (Draye et al, 2010).…”

Section: Modeling Can Help Explain the Dynamics Of Root Water Uptakementioning

confidence: 99%

Plant Water Uptake in Drying Soils

et al. 2014

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“…In a computational study, Schröder et al . [] use grid refinement around the roots to accurately resolve soil‐root water interactions. In a different approach to the scaling issue in soil‐plant interactions, Siqueira et al .…”

Section: Progress Over Five Decadesmentioning

confidence: 99%

Physically based modeling in catchment hydrology at 50: Survey and outlook

2015

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Integrated, process‐based numerical models in hydrology are rapidly evolving, spurred by novel theories in mathematical physics, advances in computational methods, insights from laboratory and field experiments, and the need to better understand and predict the potential impacts of population, land use, and climate change on our water resources. At the catchment scale, these simulation models are commonly based on conservation principles for surface and subsurface water flow and solute transport (e.g., the Richards, shallow water, and advection‐dispersion equations), and they require robust numerical techniques for their resolution. Traditional (and still open) challenges in developing reliable and efficient models are associated with heterogeneity and variability in parameters and state variables; nonlinearities and scale effects in process dynamics; and complex or poorly known boundary conditions and initial system states. As catchment modeling enters a highly interdisciplinary era, new challenges arise from the need to maintain physical and numerical consistency in the description of multiple processes that interact over a range of scales and across different compartments of an overall system. This paper first gives an historical overview (past 50 years) of some of the key developments in physically based hydrological modeling, emphasizing how the interplay between theory, experiments, and modeling has contributed to advancing the state of the art. The second part of the paper examines some outstanding problems in integrated catchment modeling from the perspective of recent developments in mathematical and computational science.

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A grid refinement approach for a three‐dimensional soil‐root water transfer model

Cited by 22 publications

References 18 publications

A simple three-dimensional macroscopic root water uptake model based on the hydraulic architecture approach

A simple three-dimensional macroscopic root water uptake model based on the hydraulic architecture approach

Plant Water Uptake in Drying Soils

Physically based modeling in catchment hydrology at 50: Survey and outlook

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