2017
DOI: 10.5194/hess-21-5709-2017
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New insights into the differences between the dual node approach and the common node approach for coupling surface–subsurface flow

Abstract: Abstract. The common node approach and the dual node approach are two widely applied approaches to coupling surface-subsurface flow. In this study both approaches are analyzed for cell-centered as well as vertex-centered finite difference schemes. It is shown that the dual node approach should be conceptualized and implemented as a one-sided first-order finite difference to approximate the vertical subsurface hydraulic gradient at the land surface. This results in a consistent dual node approach in which the c… Show more

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Cited by 8 publications
(5 citation statements)
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References 22 publications
(69 reference statements)
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“…GW flow is implemented by the three‐dimensional Richards' equation: t()θssw=boldq+Γ±Q where θ s is the saturated soil water content (−), s w is the degree of water saturation (−), q is the Darcy flux (L/T), Γ is the volumetric fluid exchange rate (L 3 · L −2 · T −1 ) between the surface domain and the subsurface domain, and Q are sinks and sources (L 3 · L −2 · T −1 ). The dual‐node approach is used for the flow coupling between the surface and the subsurface domain (see de Rooij, ). Van Genuchten () functions are used to describe the relationship between the hydraulic conductivity of the porous medium, the soil water content, and pressure.…”
Section: Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…GW flow is implemented by the three‐dimensional Richards' equation: t()θssw=boldq+Γ±Q where θ s is the saturated soil water content (−), s w is the degree of water saturation (−), q is the Darcy flux (L/T), Γ is the volumetric fluid exchange rate (L 3 · L −2 · T −1 ) between the surface domain and the subsurface domain, and Q are sinks and sources (L 3 · L −2 · T −1 ). The dual‐node approach is used for the flow coupling between the surface and the subsurface domain (see de Rooij, ). Van Genuchten () functions are used to describe the relationship between the hydraulic conductivity of the porous medium, the soil water content, and pressure.…”
Section: Methodsmentioning
confidence: 99%
“…The residual saturation ( S wr ) was fixed at 0.05. The coupling length ( l exch ) between the SW and the GW domain was set to a very small value of 0.001 m, representing an optimal compromise between head continuity and numerical stability (see de Rooij, ).…”
Section: The River‐aquifer Flow Modelmentioning
confidence: 99%
“…Numerical simulator : The ISSHM HGS simulates variably‐saturated GW flow with Richards' equation utilizing the van Genuchten parameterization, and SW flow with the 2‐D diffusion wave approximation to the Saint‐Venant equations (Brunner & Simmons, 2011; Therrien & Sudicky, 1996). SW and GW is fully‐coupled via the dual‐node approach (de Rooij, 2017; Ebel et al., 2009). Water from different origins is tracked throughout the model using a mixing‐cell implementation (Partington et al., 2011), enabling direct comparison between observed and simulated f stream .…”
Section: Methodsmentioning
confidence: 99%
“…Flow coupling between the surface and the subsurface is achieved by the consistent dual node approach (de Rooij, 2017) and defined as: d0Γ0=krKzzlexch(HH0), where K zz [LT −1 ] is the vertical saturated hydraulic conductivity, l exch [L] is the coupling length (optimal when it represents the depression storage (Liggett et al., 2012); 0.01 m in this study), H 0 [L] is the SW head and H [L] the GW head.…”
Section: Conceptual and Numerical Modelmentioning
confidence: 99%