Numerical Modeling of Mudflows

Laigle, Dominique; Coussot, Philippe

doi:10.1061/(asce)0733-9429(1997)123:7(617)

Cited by 162 publications

(126 citation statements)

References 17 publications

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“…In further testing, there will be the possibility of choosing the best fi tting rheological model. [17]. The experimental device consisted of a 4 m long and 0.6 m wide fl ume, in which a sluice, positioned at 0.85 m from the upstream end was rapidly pulled up reproducing a quasi-instantaneous dam-break for the solid-liquid mixture.…”

Section: Non-cylindrical Rectangular Channel Test This Test Case Promentioning

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: Non-cylindrical Rectangular Channel Test This Test Case Promentioning

confidence: 99%

“…Finite volume schemes are largely diffused in mud-fl ows treatment [15][16][17][18], and, among Riemann solvers, the Roe's approximation is often preferred [15,17]. The presented model uses the same approach, paying careful attention in conserving a general formulation suitable for channels of complex geometry.…”

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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“…In this paper, among the available Herschel and Bulkley formulations, i.e. three-equation (Balmforth and Liu, 2004;Di Cristo et al, 2013d;Huang and Garcia, 1998) or two-equation (Ancey, 2001(Ancey, , 2005Ancey et al, 2012;Coussot, 1997;Laigle and Coussot, 1997) models, the latter, which is more usually adopted in engineering applications, is considered.…”

Section: Introductionmentioning

confidence: 99%

On the applicability of minimum channel length criterion for roll-waves in mud-flows

Cristo¹,

Iervolino²,

Vacca³

2013

Journal of Hydrology and Hydromechanics

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Abstract:The paper addresses the prediction of roll-waves occurrence in mud-flows. The spatial growth of a point-wise disturbance is analytically described, based on the linearized flow model of a Herschel and Bulkley fluid, in the neighborhood of an initial uniform base condition. The theoretical achievements allow to generalize to mud-flows the minimum channel criterion commonly used for the prediction of roll-waves in clear-water. The applicability of the criterion is discussed through the comparison with literature laboratory data concerning unstable flows without rollwaves.

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“…On the other hand, for thicker flows, shallow water approaches consist in deriving governing equations by averaging the local mass and momentum equations across the stream depth. Regarding the modelling of Herschel-Bulkley fluids, we can mention the works [18,20,26,24]. In [8], another kind of shallow water model is derived by considering a constant profile for the velocity along the vertical and using a variational formulation of the Navier-Stokes equations for Bingham fluids, by choosing convenient test functions.…”

Section: Introductionmentioning

confidence: 99%

A Well-balanced Finite Volume-Augmented Lagrangian Method for an Integrated Herschel-Bulkley Model

et al. 2012

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We are interested in the derivation of an integrated Herschel-Bulkley model for shallow flows, as well as in the design of a numerical algorithm to solve the resulting equations. The goal is to simulate the evolution of thin sheet of viscoplastic materials on inclined planes and, in particular, to be able to compute the evolution from dynamic to stationary states. The model involves a variational inequality and it is valid from null to moderate slopes. The proposed numerical scheme is well balanced and involves a coupling between a duality technique (to treat plasticity), a fixed point method (to handle the power law) and a finite volume discretization. Several numerical tests are done, including a comparison with an analytic solution, to confirm the well balanced property and the ability to cope with the various rheological regimes associated with the Herschel-Bulkley constitutive law.

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Numerical Modeling of Mudflows

Cited by 162 publications

References 17 publications

Numerical modelling of catastrophic events produced by mud or debris flows

Numerical modelling of catastrophic events produced by mud or debris flows

On the applicability of minimum channel length criterion for roll-waves in mud-flows

A Well-balanced Finite Volume-Augmented Lagrangian Method for an Integrated Herschel-Bulkley Model

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