A numerical model for the flooding and drying of irregular domains

Brufau, P.; Vázquez-Cendón, M. Elena; García‐Navarro, P.

doi:10.1002/fld.285

Cited by 274 publications

(230 citation statements)

References 19 publications

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“…(There is extensive literature on solving similar 'wet-dry' Riemann problems for the shallow-water equations (e.g. [37,[47][48][49][50]). ) Our solver is based on a decomposition of the form [39].…”

Section: Numerical Methods and D-claw Softwarementioning

confidence: 99%

A depth-averaged debris-flow model that includes the effects of evolving dilatancy. II. Numerical predictions and experimental tests

2014

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We evaluate a new depth-averaged mathematical model that is designed to simulate all stages of debris-flow motion, from initiation to deposition. A companion paper shows how the model's five governing equations describe simultaneous evolution of flow thickness, solid volume fraction, basal pore-fluid pressure and two components of flow momentum. Each equation contains a source term that represents the influence of state-dependent granular dilatancy. Here, we recapitulate the equations and analyse their eigenstructure to show that they form a hyperbolic system with desirable stability properties.To solve the equations, we use a shock-capturing numerical scheme with adaptive mesh refinement, implemented in an open-source software package we call D-Claw. As tests of D-Claw, we compare model output with results from two sets of largescale debris-flow experiments. One set focuses on flow initiation from landslides triggered by rising pore-water pressures, and the other focuses on downstream flow dynamics, runout and deposition. D-Claw performs well in predicting evolution of flow speeds, thicknesses and basal pore-fluid pressures measured in each type of experiment. Computational results illustrate the critical role of dilatancy in linking coevolution of the solid volume fraction and porefluid pressure, which mediates basal Coulomb friction and thereby regulates debris-flow dynamics.

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Section: Numerical Methods and D-claw Softwarementioning

confidence: 99%

A depth-averaged debris-flow model that includes the effects of evolving dilatancy. II. Numerical predictions and experimental tests

2014

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“…Broken waves are described as bores. The moving shoreline is calculated as part of the solution, utilising a wetting and drying approach devised by Brufau et al (2002). Detailed description of the model's characteristics, including numerical implementation, is given by Orszaghova et al (2012).…”

Section: Numerical Wave Tankmentioning

confidence: 99%

Importance of second-order wave generation for focused wave group run-up and overtopping

Orszaghova

Taylor

Borthwick

et al. 2014

Coastal Engineering

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Focused wave groups offer a means for coastal engineers to determine extreme run-up and overtopping events. Numerical predictions and laboratory measurements are presented for NewWave-type focused wave groups generated by a piston-type paddle generator, and interacting with a plane beach and a seawall in a wave basin. The numerical wave tank is based on the Boussinesq equations for non-breaking waves, and the non-linear shallow water equations for broken waves. Good agreement is achieved between the numerical predictions and laboratory measurements of free surface elevation, run-up distances and overtopping volumes for the test cases driven by linear paddle signals. Errors in run-up distance and overtopping volume are then assessed by repeating the test cases using second-order accurate wave generation signals. Focused wave groups generated using first-order wave-maker theory are found to be substantially contaminated by a preceding long error wave, resulting in erroneously enhanced run-up distances and overtopping volumes. Thus, the use of secondorder wave-maker theory for wave group run-up and overtopping experiments is instead recommended.

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“…For this purpose, left (U U U U U U U U U U U U U U − ) and right (U U U U U U U U U U U U U U + ) states are defined on each face. The numerical flux is then computed as [36] (…”

Section: Upwind Schemes: High-order Reconstructionmentioning

confidence: 99%

“…is an approximate flux jacobian, satisfying certain matrix properties [36]. Equation (66) can be also written as [37] …”

Section: Upwind Schemes: High-order Reconstructionmentioning

confidence: 99%

High-order finite volume schemes on unstructured grids using moving least-squares reconstruction. Application to shallow water dynamics

Cueto‐Felgueroso¹,

Colominas²,

Fe³

et al. 2005

Int. J. Numer. Meth. Engng

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SUMMARYThis paper introduces the use of Moving Least Squares (MLS) approximations for the development of high-order finite volume discretizations on unstructured grids. The field variables and their succesive derivatives can be accurately reconstructed using this meshfree technique in a general nodal arrangement. The methodology proposed is used in the construction of low-dissipative highorder high-resolution schemes for the shallow water equations. In particular, second and third-orderreconstruction upwind schemes for unstructured grids based on Roe's flux difference splitting are developed and applied to inviscid and viscous flows. This class of meshfree reconstruction techniques provide a robust and general approximation framework which represents an interesting alternative to the existing procedures, allowing, in addition, an accurate computation of the viscous fluxes. Copyright

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A numerical model for the flooding and drying of irregular domains

Cited by 274 publications

References 19 publications

A depth-averaged debris-flow model that includes the effects of evolving dilatancy. II. Numerical predictions and experimental tests

A depth-averaged debris-flow model that includes the effects of evolving dilatancy. II. Numerical predictions and experimental tests

Importance of second-order wave generation for focused wave group run-up and overtopping

High-order finite volume schemes on unstructured grids using moving least-squares reconstruction. Application to shallow water dynamics

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