A continuous/discontinuous Galerkin framework for modeling coupled subsurface and surface water flow

Dawson, Clint

doi:10.1007/s10596-008-9085-y

Cited by 35 publications

(29 citation statements)

References 35 publications

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“…In the hydrologic sciences, the development has been mainly concerned with relaxing the upper boundary condition at the land surface, which was treated traditionally as simple flux and operational surface water boundary (see review by Ebel et al, 2009). Advancements include fully coupled groundwater–surface water models (VanderKwaak and Loague, 2001; Panday and Huyakorn, 2004; Kollet and Maxwell, 2008; Dawson, 2008; Sulis et al, 2010); incorporation of land surface processes such as evaporation from bare soil and transpiration by plants (Kollet and Maxwell, 2008); and full mass, energy and momentum exchange with the atmosphere via coupled land surface models. On the other hand, in atmospheric sciences, major advancements have focused on improving the lower boundary condition (i.e., the subsurface), which was treated traditionally as simple box or force restore models covering only the top soil layers and ignoring the deeper subsurface and groundwater dynamics.…”

Section: Coupled Modeling Of Soil–vegetation–atmosphere Systemsmentioning

confidence: 99%

Patterns in Soil–Vegetation–Atmosphere Systems: Monitoring, Modeling, and Data Assimilation

Vereecken

Kollet

Simmer

2010

Vadose Zone Journal

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In this special issue, we present recent scien fi c work that analyzes the role of pa erns in soil-vegeta on-atmosphere (SVA) systems over a wide range of scales ranging from the pore scale up to mesoscale catchments. Specifi c a en on is given to the development of novel data assimila on methods, noninvasive measurement techniques that allow mapping spa al pa erns of state variables and fl uxes, and two-way coupling of models in a scale-consistent way. "Pa erns in Soil-Vegeta on-Atmosphere Systems" is also the research topic of a collabora ve research center (TR32) between the universi es of Aachen, Bonn, and Cologne and the Forschungszentrum Jülich. In this center, which is funded by the Deutsche Forschungsgemeinscha , on the basis of an interna onal evalua on, scien sts covering a broad range of earth science disciplines are working together. During June 11-12, 2010 the center organized its fi rst interna onal workshop in Aachen. The contribu ons presented in this special issue of Vadose Zone Journal include contribu ons from the collabora ve research center and external contribu ons, both from Germany and worldwide.Abbrevia ons: CLR, Community Landsurface Model; CR, capaci ve resis vity; DC, direct current resisvity; DTS, distributed temperature sensing; EC, eddy covariance; HHT, Hilbert-Huang transform; MRI, magne c resonance imaging; NMR, nuclear magne c resonance; SIP, spectral induced polariza on; SVA, soil-vegeta on-atmosphere.The system of soil, vegeta on, and the adjacent atmosphere is characterized by complex patterns, structures, and processes that act on a wide range of time and space scales. While the exchange of energy, water, and carbon is continuous between compartments, the pertinent fl uxes are strongly heterogeneous and variable in space and time. Th erefore, quantitatively predicting the systems' behavior constitutes a major challenge.Patterns and structures play an important role in controlling and determining the spatial and temporal variability of fl uxes of water and carbon dioxide within and between the compartments of the soil-plant-atmosphere system (Flury et al., 1994;Raich and Potter, 1995, Vereecken et al., 2007). Th ey may result from either deterministic processes or from processes causing spatial dependency and autocorrelative behavior or both (Levin, 1992;Borcard and Legendre, 2002). In addition, patterns occur at diff erent hierarchical scales, ranging from the pore scale to the global scale. Patterns and structures in soilplant-atmosphere systems are intimately linked to the notion of heterogeneity of state variables, parameters, and fl uxes. Improving our understanding of soil-plant-atmosphere systems therefore requires (i) the development of measurement techniques that enable us to characterize the spatial structure of key properties across scales, (ii) the development and improvement of coupled numerical models and data assimilation methods, and (iii) the long-term monitoring of key state variables and fl uxes for model evaluation. Characterizing Pa erns and Structures i...

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Section: Coupled Modeling Of Soil–vegetation–atmosphere Systemsmentioning

confidence: 99%

Patterns in Soil–Vegetation–Atmosphere Systems: Monitoring, Modeling, and Data Assimilation

Vereecken

Kollet

Simmer

2010

Vadose Zone Journal

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“…A thorough review of the approaches used in coupled surface water–groundwater models is given by Ebel et al [2009]. The two most commonly used techniques are (1) first‐order exchange coefficient coupling [e.g., VanderKwaak , 1999; Panday and Huyakorn , 2004; Therrien et al , 2005; Ebel et al , 2009] and (2) specifying surface‐subsurface continuity of pressure and flux boundary conditions [e.g., Kollet and Maxwell , 2006; Maxwell and Kollet , 2008b; Dawson , 2008]. Even though approaches differ, all these models use a rigorous, physically based mathematical treatment of integrated surface‐subsurface flow [ Maxwell , 2009].…”

Section: Introductionmentioning

confidence: 99%

Coupling groundwater and land surface processes: Idealized simulations to identify effects of terrain and subsurface heterogeneity on land surface energy fluxes

Rihani

Maxwell

Chow

2010

Water Resources Research

102

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[1] This work investigates the role of terrain and subsurface heterogeneity on the interactions between groundwater dynamics and land surface energy fluxes using idealized simulations. A three-dimensional variably saturated groundwater code (ParFlow) coupled to a land surface model (Common Land Model) is used to account for both vertical and lateral water and pressure movement. This creates a fully integrated approach, coupling overland and subsurface flow while having an explicit representation of the water table and all land surface processes forced by atmospheric data. Because the water table is explicitly represented in these simulations, regions with stronger interaction between water table depth and the land surface energy balance (known as critical zones) can be identified. This study uses simple terrain and geologic configurations to demonstrate the importance of lateral surface and subsurface flows in determining land surface heat and moisture fluxes. Strong correlations are found between the land surface fluxes and water table depth across all cases, including terrain shape, subsurface heterogeneity, vegetation type, and climatological region. Results show that different land forms and subsurface heterogeneities produce very different water table dynamics and land surface flux responses to atmospheric forcing. Subsurface formation and properties have the greatest effect on the coupling between the water table and surface heat and moisture fluxes. Changes in landform and land surface slope also have an effect on these interactions by influencing the fraction of rainfall contributing to overland flow versus infiltration. This directly affects the extent of the critical zone with highest coupling strength along the hillside. Vegetative land cover, as seen in these simulations, has a large effect on the energy balance at the land surface but a small effect on streamflow and water table dynamics and thus a limited impact on the land surface-subsurface interactions. Although climate forcing has a direct effect on water table dynamics and feedbacks to the land surface, in this study it does not overcome that of subsurface heterogeneity and terrain.Citation: Rihani, J. F., R. M. Maxwell, and F. K. Chow (2010), Coupling groundwater and land surface processes: Idealized simulations to identify effects of terrain and subsurface heterogeneity on land surface energy fluxes, Water Resour. Res., 46, W12523,

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“…In this case, the porous medium model typically includes multiphase Darcy's law (Helmig 1997) that represents flows of several fluids or Richards' equation (1931) that describes movement of only water through saturated/unsaturated porous media. Coupling of subsurface flows described by the Richards equation and overland flows has been studied recently (Dawson 2008;Rybak et al 2015;Kollet and Maxwell 2006;Sulis et al 2010;Sochala et al 2009;Berninger et al 2014;Mosthaf et al 2011).…”

Section: Introductionmentioning

confidence: 99%

A Hyperbolic–Elliptic Model Problem for Coupled Surface–Subsurface Flow

2015

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We consider a model problem for coupled surface-subsurface flow. The model consists of a nonlinear kinematic wave equation for the surface fluid's height and a Brinkman model that governs fluid velocity and pressure for subsurface dynamics. For this coupled hyperbolic-elliptic model we establish the existence of weak solutions. The proof is based on a viscous approximation and the method of compensated compactness by virtue of appropriate energy estimates. To solve the coupled problem numerically, a finite volume method is applied. The numerical scheme is used to illustrate the influence of the Brinkman parameter on the coupled flow pattern for infiltration scenarios.

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A continuous/discontinuous Galerkin framework for modeling coupled subsurface and surface water flow

Cited by 35 publications

References 35 publications

Patterns in Soil–Vegetation–Atmosphere Systems: Monitoring, Modeling, and Data Assimilation

Patterns in Soil–Vegetation–Atmosphere Systems: Monitoring, Modeling, and Data Assimilation

Coupling groundwater and land surface processes: Idealized simulations to identify effects of terrain and subsurface heterogeneity on land surface energy fluxes

A Hyperbolic–Elliptic Model Problem for Coupled Surface–Subsurface Flow

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