Bed evolution numerical model for rapidly varying flow in natural streams

Schippa, Leonardo; Pavan, Sara

doi:10.1016/j.cageo.2008.08.004

Cited by 19 publications

(28 citation statements)

References 29 publications

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“…The proposed model is based on an alternative formulation of conservative balance equations, which includes a particular mathematical expression of source terms ideated for natural channels, and which has already demonstrated important stability features under the numerical point of view [9,10]. This formulation is kept in the present work, while the innovation stands in the numerical implementation, since a fi nite volume method based on Roe's scheme is used instead of the MacCormack fi nite difference method [9,10].…”

Section: Introductionmentioning

confidence: 99%

“…This formulation is kept in the present work, while the innovation stands in the numerical implementation, since a fi nite volume method based on Roe's scheme is used instead of the MacCormack fi nite difference method [9,10]. The main reason is the necessity of correctly capturing front wave propagation speed in case of initially dry bed, for which Riemann solvers-based techniques are recommended [11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

“…The pressure source terms, induced by the channel irregular geometry have been treated mathematically transforming the longitudinal derivative of the static moment in order to eliminate the explicit dependence from the channel bed slope [9,10]. Friction source term mainly depends on the rheological behaviour of the mixture.…”

Section: Introductionmentioning

confidence: 99%

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Numerical modelling of catastrophic events produced by mud or debris flows

Schippa¹,

Pavan²

2011

Int. J. SAFE

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Mud and debris fl ows are natural phenomena representing serious hazard for population and structures in mountain zones, because of their rapid occurrence and the diffi culty in forecasting the phenomena initiation. Numerical models can however be useful in predicting the peak discharge and the strength of fl owing mass, helping administrations in preparing risk mitigation measures. In this work, a numerical model for hyperconcentrated fl ows is presented. It is based on shallow water equations, with a particular source terms treatment which translates into an increased numerical stability and makes the model highly versatile. The test case applications focus on some fundamental characteristics necessary for debris-and mud-fl ow representation. In particular, classic dam-break problems have been used to test wave celerity and wet-dry fronts propagation, while a mud-fl ow dam-break problem has been chosen to investigate model sensibility to different rheological schemes. Then, the model has been applied to two real events that occurred in Northern Italy. The fi rst one is a debris fl ow which took place at Acquabona, near Cortina d'Ampezzo. This event is extensively documented, since it has been observed by a monitoring station prepared by the University of Padua. The second one is a tragic event, during which the little town of Stava has been stricken by a destructive mud fl ow caused by the collapse of two earth dams.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Numerical modelling of catastrophic events produced by mud or debris flows

Schippa¹,

Pavan²

2011

Int. J. SAFE

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“…The model (Schippa and Pavan 2009) is based on the system of three differential equations stating mass and momentum conservation for the liquid phase plus the Exner equation stating mass conservation for the sediment phase:…”

Section: A Physically-based Geomorphological Model For a Stationary Vmentioning

confidence: 99%

River, delta and coastal morphological response accounting for biological dynamics

Goldsmith¹,

Bernardi

Schippa

2015

Proc. IAHS

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Management and construction can increase resilience in the face of climate change, and benefits can be enhanced through integration of biogenic materials including shells and vegetation. Rivers and coastal landforms are dynamic systems that respond to intentional and unintended manipulation of critical factors, often with unforeseen and/or undesirable resulting effects. River management strategies have impacts that include deltas and coastal areas which are increasingly vulnerable to climate change with reference to sea level rise and storm intensity. Whereas conventional assessment and analysis of rivers and coasts has relied on modelling of hydrology, hydraulics and sediment transport, incorporating additional biological factors can offer more comprehensive, beneficial and realistic alternatives. Suitable modelling tools can provide improved decision support. The question has been whether current models can effectively address biological responses with suitable reliability and efficiency. Since morphodynamic evolution exhibits its effects on a large timescale, the choice of mathematical model is not trivial and depends upon the availability of data, as well as the spatial extent, timelines and computation effort desired. The ultimate goal of the work is to set up a conveniently simplified river morphodynamic model, coupled with a biological dynamics plant population model able to predict the long-term evolution of large alluvial river systems managed through bioengineering. This paper presents the first step of the work related to the application of the model accounting for stationary vegetation condition. Sensitivity analysis has been performed on the main hydraulic, sedimentology, and biological parameters. The model has been applied to significant river training in Europe, Asia and North America, and comparative analysis has been used to validate analytical solutions. Data gaps and further areas for investigation are identified.

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“…The proposed model is based on an alternative formulation of conservative balance equations, which includes a particular mathematical expression of source terms ideated for natural channels, and which has already demonstrated important stability features under the numerical point of view [1,2]. This formulation is kept in the present work, and the innovation stands in the numerical implementation, since a finite volume method based on Roe's scheme is used instead of the MacCormack finite difference method [1,2].…”

Section: Introductionmentioning

confidence: 99%

1-D finite volume model for dam-break induced mud-flow

Schippa¹,

Pavan²

2009

WIT Transactions on Ecology and the Environment

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A numerical model suitable for the simulation of dam break flow, for Newtonian or non-Newtonian fluids, has been developed. The main features of the model are concerned with the propagation of wet-dry fronts, the treatment of irregular and variable cross sections shape, and the applicability to highly sloping channels. Governing equations are numerically solved using a simple first-order finite volume scheme. Different test cases have been selected in order to check all the fundamental features necessary for debris and mud-flow simulation. The model has finally been tested using laboratory experiments on mud-flow dambreak over a sloping plane. Numerical results compare favourably with experiments in terms of front wave speed, peak height and residual front thickness.

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Bed evolution numerical model for rapidly varying flow in natural streams

Cited by 19 publications

References 29 publications

Numerical modelling of catastrophic events produced by mud or debris flows

Numerical modelling of catastrophic events produced by mud or debris flows

River, delta and coastal morphological response accounting for biological dynamics

1-D finite volume model for dam-break induced mud-flow

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