2009
DOI: 10.2495/rm090131
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Two-dimensional numerical models for overland flow simulations

Abstract: 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… Show more

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Cited by 17 publications
(15 citation statements)
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“…Since excess rainfall can cause flooding and mudslides which has the potential to cause loss of human life and disrupt the local economy, reliably predicting the flow variables for different precipitation scenarios can assist decision-makers and emergency personnel. Researchers have modeled these flows by solving the two-dimensional fully dynamic shall water Equations [10,11] or their diffusion [12,13] or kinematic approximations [14,15].…”
Section: Two-dimensional Applications 31 Overland Flow On a Sloping mentioning
confidence: 99%
“…Since excess rainfall can cause flooding and mudslides which has the potential to cause loss of human life and disrupt the local economy, reliably predicting the flow variables for different precipitation scenarios can assist decision-makers and emergency personnel. Researchers have modeled these flows by solving the two-dimensional fully dynamic shall water Equations [10,11] or their diffusion [12,13] or kinematic approximations [14,15].…”
Section: Two-dimensional Applications 31 Overland Flow On a Sloping mentioning
confidence: 99%
“…The surface integrals represent the conversion of the lineal integral into area integrals implying to contemplate the boundary of the region that involves some integrations (Green's theorem). Some schemes consider the homogeneous conservative part of the system and a discretisation of the non-conservative term with a "lateralisation" [25]. For that, it is necessary to take into account that the mesh could have known depth and velocity values and the border boundaries consider four points: one for the right side of the intercell (R) and another for the left side (L) and the other two for above and below the cell.…”
Section: Flubidi Mathematical Modelmentioning
confidence: 99%
“…A physical model consists of mathematical equations used to describe the physical behavior and interactions of the multiple components involved in a process. Various physical models have been developed for predicting rainfall [5] and surface water flow [6][7][8]. Further, a comprehensive physical model for coastal flooding using parallel computing was developed [9].…”
Section: Introductionmentioning
confidence: 99%