Improved implementation of the HLL approximate Riemann solver for one-dimensional open channel flows

Ying, Xinya; Wang, Sam S. Y.

doi:10.1080/00221686.2008.9521840

Cited by 48 publications

(32 citation statements)

References 22 publications

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“…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]. The second reason is the intention to verify if the model stability features are kept even if the numerical implementation radically changes.…”

Section: Introductionmentioning

confidence: 99%

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%

Numerical modelling of catastrophic events produced by mud or debris flows

Schippa¹,

Pavan²

2011

Int. J. SAFE

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“…The second-order spatial accuracy can be obtained through a Ying and Wang, 2008a) have revealed that for a given grid size, the secondorder scheme produces better solutions than the first-order scheme near discontinuities and shocks in the idealized dam-break test cases; however, in the cases where the spatial variations of flow characteristics are relatively smooth, the firstorder scheme can work as well as the secondorder schemes. This can be further confirmed by the two dam-break test examples that follow.…”

Section: Methodsmentioning

confidence: 99%

Modeling Dam-Break Flows Using Finite Volume Method on Unstructured Grid

Ying

Jorgeson

Wang

2009

Engineering Applications of Computational Fluid Mechanics

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This study aims to develop a robust, accurate, and computationally efficient numerical model for dam-break flows. The model is based on the finite volume method on an unstructured triangular grid. The intercell flux is computed by the HLL approximate Riemann solver. The model employs the form of the shallow water equations in which the effects of pressure and gravity are included in one source term. Such a choice can simplify the computation and eliminate numerical imbalance between source and flux terms. The accuracy and computational efficiency of the newly developed model are demonstrated through several test problems, including oblique hydraulic jump, a laboratory partial dam-break case, and a real-life dam-break case. It is found that the model is robust and capable of accurately predicting dam-break flows that may occur over complicated terrain and involve subcritical flows, supercritical flows, and transcritical flows.

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“…Most of models proposed in the literature about the resolution of shallow water equations for debris flow or natural channels, based on approximate Riemann solvers (see for example [4,5,9]), adopt the same simplification in the evaluation of the term ∂I 1 /∂A, assuming…”

Section: Numerical Modelmentioning

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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Improved implementation of the HLL approximate Riemann solver for one-dimensional open channel flows

Cited by 48 publications

References 22 publications

Numerical modelling of catastrophic events produced by mud or debris flows

Numerical modelling of catastrophic events produced by mud or debris flows

Modeling Dam-Break Flows Using Finite Volume Method on Unstructured Grid

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

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