Kinematic routing using finite elements on a triangular irregular network

Goodrich, David C.; Woolhiser, David A.; Keefer, T.

doi:10.1029/91wr00224

Cited by 38 publications

(23 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…While this has been addressed in grid models, the effect of TIN resolution on basin processes has received little attention. Given the availability of TIN-based hydrology models (Goodrich et al, 1991;PalaciosVélez and Cuevas-Renaud, 1992;Tachikawa et al, 1994;Tucker et al, 2001b), understanding the effect of terrain coarsening on hydrologic simulations is essential for determining an appropriate model resolution that minimizes computational effort while retaining hydrologic accuracy.…”

Section: Distributed Hydrologic Modelling On Triangulated Terrainmentioning

confidence: 99%

“…One approach is to retain the essential terrain variability in regions of hydrologic significance while maintaining a level of detail commensurate with a Multiple resolutions translate directly to computational savings as the number of model nodes is reduced in areas of low terrain variability (e.g. Goodrich et al, 1991). A second advantage is that TINs permit linear features to be preserved by using a constrained triangulation, thus allowing the terrain representation to be consistent with streams and basin boundaries (Tsai, 1993;Nelson et al, 1999).…”

Section: Introductionmentioning

confidence: 98%

See 1 more Smart Citation

On the effects of triangulated terrain resolution on distributed hydrologic model response

et al. 2005

View full text Add to dashboard Cite

Abstract:Distributed hydrologic models based on triangulated irregular networks (TIN) provide a means for computational efficiency in small to large-scale watershed modelling through an adaptive, multiple resolution representation of complex basin topography. Despite previous research with TIN-based hydrology models, the effect of triangulated terrain resolution on basin hydrologic response has received surprisingly little attention. Evaluating the impact of adaptive gridding on hydrologic response is important for determining the level of detail required in a terrain model. In this study, we address the spatial sensitivity of the TIN-based Real-time Integrated Basin Simulator (tRIBS) in order to assess the variability in the basin-averaged and distributed hydrologic response (water balance, runoff mechanisms, surface saturation, groundwater dynamics) with respect to changes in topographic resolution. Prior to hydrologic simulations, we describe the generation of TIN models that effectively capture topographic and hydrographic variability from grid digital elevation models. In addition, we discuss the sampling methods and performance metrics utilized in the spatial aggregation of triangulated terrain models. For a 64 km 2 catchment in northeastern Oklahoma, we conduct a multiple resolution validation experiment by utilizing the tRIBS model over a wide range of spatial aggregation levels. Hydrologic performance is assessed as a function of the terrain resolution, with the variability in basin response attributed to variations in the coupled surface-subsurface dynamics. In particular, resolving the near-stream, variable source area is found to be a key determinant of model behaviour as it controls the dynamic saturation pattern and its effect on rainfall partitioning. A relationship between the hydrologic sensitivity to resolution and the spatial aggregation of terrain attributes is presented as an effective means for selecting the model resolution. Finally, the study highlights the important effects of terrain resolution on distributed hydrologic model response and provides insight into the multiple resolution calibration and validation of TIN-based hydrology models.

show abstract

Section: Distributed Hydrologic Modelling On Triangulated Terrainmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

On the effects of triangulated terrain resolution on distributed hydrologic model response

et al. 2005

View full text Add to dashboard Cite

show abstract

“…The kinematic wave model is well tested, and it is successfully used in watershed modeling (Goodrich et al, 1991;Willgoose and Kuczera, 1995;Koren and Barrett, 1995;Bell and Moore, 1998;Georgakakos, 2002;Vieux and Moreda, 2003). Although accuracy of the kinematic model reduces in hydraulically mild slopes (Fread, 1993;Singh, 1996), it is appropriate to use it in the first version of the HL-RMS mainly for two reasons: (1) it will be used mostly for headwater basins where lateral inflow effects dominate over wave propagation effects, and (2) flood prediction (the main goal of the NWS) is the most critical in rather steep topography (e.g.…”

Section: Introductionmentioning

confidence: 99%

“…They range in complexity from the so-called 'physically based fully distributed' (Wigmosta et al, 1994;Abbott et al, 1986;Garrote and Bras, 1995;Julien et al, 1995) to 'semi-distributed' (Boyle et al, 2001;Obled et al, 1994;Schumann, 1993), and to conceptual lumped rainfall-runoff models applied at smaller scales (Michaud and Sorooshian, 1994;White, 1988). In terms of computational elements, they may be built on grid (Ogden and Julien, 1994;Kouwen and Garland, 1989), small sub-basins (Carpenter et al, 2001;Obled et al, 1994), triangulated irregular network (TIN) (Goodrich et al, 1991) and stream tubes (Grayson et al, 1992;Moore and Grayson, 1991). Recently, efforts have been undertaken to account for the effects of 'sub-grid' heterogeneity on hydrologic processes Beven, 1995).…”

Section: Introductionmentioning

confidence: 99%

Hydrology laboratory research modeling system (HL-RMS) of the US national weather service

Koren

Reed

Smith

et al. 2004

Journal of Hydrology

236

237

View full text Add to dashboard Cite

This study investigates an approach that combines physically-based and conceptual model features in two stages of distributed modeling: model structure development and estimation of spatially variable parameters. The approach adds more practicality to the process of model parameterization, and facilitates an easier transition from current lumped model-based operational systems to more powerful distributed systems. This combination of physically-based and conceptual model features is implemented within the Hydrology Laboratory Research Modeling System (HL-RMS). HL-RMS consists of a well-tested conceptual water balance model applied on a regular spatial grid linked to physically-based kinematic hillslope and channel routing models. Parameter estimation procedures that combine spatially distributed and 'integrated' basin-outlet properties have been developed for the water balance and routing components. High-resolution radar-based precipitation data over a large region are used in testing HL-RMS. Initial tests show that HL-RMS yields results comparable to well-calibrated lumped model simulations in several headwater basins, and it outperforms a lumped model in basins where spatial rainfall variability effects are significant. It is important to note that simulations for two nested basins (not calibrated directly, but parameters from the calibration of the parent basin were applied instead) outperformed lumped simulations even more consistently, which means that HL-RMS has the potential to improve the accuracy and resolution of river runoff forecasts. Published by Elsevier B.V.

show abstract

“…Zhang and Cundy, 1989;Goodrich et al, 1991;Moore and Grayson, 1991;Vertessy et al, 1993;Flanagan and Nearing, 1995;Smith et al, 1995). This approach provides a detailed representation of the watershed and an accurate description of the runoff processes using physically based relationships.…”

Section: Introductionmentioning

confidence: 91%

One- and two-dimensional modelling of overland flow in semiarid shrubland, Jornada basin, New Mexico

2006

View full text Add to dashboard Cite

Abstract:Two distributed parameter models, a one-dimensional (1D) model and a two-dimensional (2D) model, are developed to simulate overland flow in two small semiarid shrubland watersheds in the Jornada basin, southern New Mexico. The models are event-based and represent each watershed by an array of 1-m 2 cells, in which the cell size is approximately equal to the average area of the shrubs.Each model uses only six parameters, for which values are obtained from field surveys and rainfall simulation experiments. In the 1D model, flow volumes through a fixed network are computed by a simple finite-difference solution to the 1D kinematic wave equation. In the 2D model, flow directions and volumes are computed by a second-order predictor-corrector finite-difference solution to the 2D kinematic wave equation, in which flow routing is implicit and may vary in response to flow conditions.The models are compared in terms of the runoff hydrograph and the spatial distribution of runoff. The simulation results suggest that both the 1D and the 2D models have much to offer as tools for the large-scale study of overland flow. Because it is based on a fixed flow network, the 1D model is better suited to the study of runoff due to individual rainfall events, whereas the 2D model may, with further development, be used to study both runoff and erosion during multiple rainfall events in which the dynamic nature of the terrain becomes an important consideration.

show abstract

Kinematic routing using finite elements on a triangular irregular network

Cited by 38 publications

References 21 publications

On the effects of triangulated terrain resolution on distributed hydrologic model response

On the effects of triangulated terrain resolution on distributed hydrologic model response

Hydrology laboratory research modeling system (HL-RMS) of the US national weather service

One- and two-dimensional modelling of overland flow in semiarid shrubland, Jornada basin, New Mexico

Contact Info

Product

Resources

About