An accurate time integration method for simplified overland flow models

Gottardi, Guido; Venutelli, Maurizio

doi:10.1016/j.advwatres.2007.08.004

Cited by 57 publications

(33 citation statements)

References 26 publications

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“…The non-inertia approximation further assumes that inertial terms can be neglected. Gottardi and Venutelli [31] have shown that this approximation is acceptable to simulate runoff flows as it yields results very close to the analytical and numerical solution of the full shallow water equations. The non-inertia approximation reads: @h @t …”

Section: Surface Modelmentioning

confidence: 86%

“…In order to use that solution, we therefore perform simulations without any infiltration. The resulting hydrograph is provided as a reference as it represents the situation without infiltration [31]. Our model reproduces accurately the beginning of the event and the beginning of the recession, with a discrepency before reaching the steady state (see Fig.…”

Section: Coupled Model -Hortonian Runoffmentioning

confidence: 98%

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A scalable coupled surface–subsurface flow model

2015

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Section: Surface Modelmentioning

confidence: 86%

Section: Coupled Model -Hortonian Runoffmentioning

confidence: 98%

A scalable coupled surface–subsurface flow model

2015

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“…These tests, proposed in [7,8] It is interesting to observe that when using a slope equal to 0.001 the simulations are quite different and in particular the kinematic approximation gives a poor prediction because, in this case, the numerical depth gradient contribution is not negligible in comparison to the bottom slope ( figure 2(a)). On the contrary, the solutions of the implemented schemes are very similar when using a slope equal to 0.04 ( figure 2(b)).…”

Section: Variable In Time Rainfall Intensity Over a Planementioning

confidence: 99%

“…with: (7,8,9,10) and ignoring also the depth gradient terms one may obtain the following kinematic model:…”

Section: Mathematical Modelmentioning

confidence: 99%

“…In this context, the 2D fully dynamic shallow water equations seem to be the required approach to deal with that situation because it allows one to analyse in depth the flow behaviour in locally complex topography. On the other hand, the use of different approximations of the unsteady flow equations is very common in order to simulate the overland flow processes leading to the kinematic and diffusive wave models [1,3,7,9,12]. Several authors have studied the conditions in which those approximations are completely justified [14][15][16]21].…”

Section: Introductionmentioning

confidence: 99%

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Two-dimensional numerical models for overland flow simulations

Costabile

Costanzo

Macchione

2009

WIT Transactions on Ecology and the Environment

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In this paper the performances of a number of two-dimensional (2D) models for overland flow simulations have been compared; in particular they are based on the shallow water approach according to a fully dynamic, diffusive and kinematic wave modelling. The systems have been numerically solved by using both the MacCormack second order central scheme and HLL first order upwind scheme. The numerical results highlighted that the differences among the simulations are not very important when the simulations refer to commonly used ideal literature tests in which the topography is quite simplified while significant differences have been observed when the topography is more similar to the real situations.

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Are all runoff processes the same? Numerical experiments comparing a Darcy‐Richards solver to an overland flow‐based approach for subsurface storm runoff simulation

Ameli

Craig

McDonnell

2015

Water Resources Research

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Hillslope runoff theory is based largely on the differentiation between infiltration excess overland flow, saturation excess overland flow, and subsurface stormflow. Here we explore to what extent a 2-D friction-based overland flow model is useful for predicting hillslope-scale subsurface stormflow, posited here as phenomenologically the same as infiltration excess at depth. We compare our results to a 3-D variably saturated Darcy-Richards subsurface solver for individual rainfall runoff events. We use field data from the well-studied Panola Mountain Experimental hillslope in Georgia USA. Our results show that the two models are largely indistinguishable in terms of their ability to simulate the hillslope hydrograph magnitude and timing for a range of slopes and rainfall depths. Furthermore, we find that the descriptive ability of the overland flow model is comparable to the variably saturated subsurface flow model in terms of its ability to represent the spatial distribution of subsurface stormflow and infiltration across the soil-bedrock interface. More importantly, these results imply that the physics of infiltration excess subsurface stormflow at the soilbedrock interface is similar to infiltration excess overland flow at the soil surface, in terms of detention storage, loss along the lower boundary, and threshold-like activation at the larger hillslope scale. Given the phenomenological similarity of overland flow and subsurface stormflow and the fact that overland flow model predictions are considerably faster to run (particularly as slope and rainfall depth increase), these findings imply that new forms of hillslope-scale subsurface storm runoff predictions may be possible with the knowledge of bedrock permeability and limited soil information. Finally, this work suggests that the role of soil mantle vis-a-vis subsurface stormflow is mainly as a filter that delays the development of patches of saturation along the bedrock surface. Our model results show that simple realizations of soil based on a few soil depth measurements can possibly be enough to characterize this filtering effect.Subsurface stormflow response to precipitation is also a threshold-like process [e.g., Peters et al., 2003;Tromp-van Meerveld and McDonnell, 2006b] that depends upon the microtopography, mesotopography, and macrotopography-not of the surface topography but the topography of the restricting layer at depth Key Points: Richards' and overland flow approaches similarly simulate subsurface stormflow Infiltration excess subsurface stormflow (SSF) can occur along the bedrock surface SSF and overland flow show similar behaviors in terms of the role of their lower boundaries Correspondence to: A. A. Ameli, aaameli@uwaterloo.ca Citation: Ameli, A. A., J. R. Craig, and J. J. McDonnell (2015), Are all runoff processes the same? Numerical experiments comparing a Darcy-Richards solver to an overland flowbased approach for subsurface storm runoff simulation, Water Resour. Water Resources Research PUBLICATIONS (e.g., soil-bedrock interface, soi...

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An accurate time integration method for simplified overland flow models

Cited by 57 publications

References 26 publications

A scalable coupled surface–subsurface flow model

A scalable coupled surface–subsurface flow model

Two-dimensional numerical models for overland flow simulations

Are all runoff processes the same? Numerical experiments comparing a Darcy‐Richards solver to an overland flow‐based approach for subsurface storm runoff simulation

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