Numerical approaches for 1D morphodynamic modelling

Hudson, Justin; Damgaard, Jesper; Dodd, Nicholas; Chesher, T.J.; Cooper, Alan

doi:10.1016/j.coastaleng.2005.04.004

Cited by 58 publications

(102 citation statements)

References 13 publications

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“…In the same way, it is verified thatz b (x, t) = z b (x, t) + c 0 , where c 0 is a constant value, it is also a solution of the problem. To be able to compare numerical solution with analytical solution obtained in [31], without considering the behavior of numerical scheme in zones with-without sediment, we have compared the solution for the case,z…”

Section: Transport Of Parabolic Sediment Layermentioning

confidence: 99%

“…This solution is valid to t < t 0 , being t 0 the instant in which characteristics cross. In [31] it is estimated t 0 = 238079.124 × A −1 g . In the same way, it is verified thatz b (x, t) = z b (x, t) + c 0 , where c 0 is a constant value, it is also a solution of the problem.…”

Section: Transport Of Parabolic Sediment Layermentioning

confidence: 99%

“…This first test consists on comparing a numerical solution with an asymptotic and analytical solution obtained by Hudson and Sweby in [31], for Grass model when interaction constant A g (8) is smaller than 10 −2 . In this case, the layer sedimentz b is over all computational domain and fluid is moving slowly with a constant discharge q = q 0 ≤ 10.…”

Section: Transport Of Parabolic Sediment Layermentioning

confidence: 99%

“…In the particular case where Grass model is considered and the family of paths is defined by segments (24), Roe matrix is (See [31]),…”

Section: Roe Matrix For Grass Modelmentioning

confidence: 99%

“…Hudson in [31] proposed several numerical approximations of a system constituted by shallow water equations and bedload sediment transport equation using Grass model. He considers different reformulations of the problem.…”

Section: Introductionmentioning

confidence: 99%

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Sediment transport models in Shallow Water equations and numerical approach by high order finite volume methods

2008

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This paper is concerned with the numerical approximation of bedload sediment transport due to water evolution. For the hydrodynamical component we consider shallow water equations. The morphodynamical component is defined by a continuity equation, which is defined in function of the solid transport discharge. We present several deterministic models, such as Meyer-Peter&Müller, Van Rijn or Grass model. We also present an unified definition for the solid transport discharge, and we compare with Grass model. Both components define a coupled system of equations that can be re-write as a non-conservative hyperbolic system. To discretize it, we consider finite volume methods with or without flux limiters and high order state reconstructions. Finally we present several tests, where we observe numerically the order of the numerical schemes, Comparisons with analytical solutions and experimental data are also presented.Short title : Numerical approach of sediment transport models.

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Section: Transport Of Parabolic Sediment Layermentioning

confidence: 99%

Section: Transport Of Parabolic Sediment Layermentioning

confidence: 99%

Section: Transport Of Parabolic Sediment Layermentioning

confidence: 99%

“…In the particular case where Grass model is considered and the family of paths is defined by segments (24), Roe matrix is (See [31]),…”

Section: Roe Matrix For Grass Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Sediment transport models in Shallow Water equations and numerical approach by high order finite volume methods

2008

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A well‐balanced FV scheme for compound channels with complex geometry and movable bed

Minatti

2015

Water Resources Research

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This work focuses on the implementation of a Shallow Water-Exner model for compound natural channels with complex geometry and movable bed within the finite volume framework. The model is devised for compound channels modeling: cross-section overbanks are treated with fixed bed conditions, while the main channel is left free to modify its morphology. A capacitive approach is used for bed load transport modeling, in which the solid flow rates are estimated with bed load transport formulas. The model equations pose some numerical issues in the case of natural channels, where bed load transport may occur for both subcritical and supercritical flows and geometry varies in space. An explicit path-conservative scheme, designed to overcome all these issues, is presented in the paper. The scheme solves liquid and solid phases dynamics in a coupled manner, in order to correctly model near critical currents/channel interactions and is well-balanced, that is able to properly reproduce steady states. The Roe and Osher Riemann solvers are implemented, so as to take into account the spatial geometry variations of natural channels. The scheme reaches up to second-order accuracy. Validation is performed with fixed and movable bed test cases whose analytical solution is known, and with flume experimental data. An application of the model to a real case study is also shown.

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Numerical simulation of sewer sediments transport with SWMM by decoupled approach

Xi¹,

Wang³

et al. 2020

Preprint

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Numerical approaches for 1D morphodynamic modelling

Cited by 58 publications

References 13 publications

Sediment transport models in Shallow Water equations and numerical approach by high order finite volume methods

Sediment transport models in Shallow Water equations and numerical approach by high order finite volume methods

A well‐balanced FV scheme for compound channels with complex geometry and movable bed

Numerical simulation of sewer sediments transport with SWMM by decoupled approach

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