Modélisationfilaire de courants de turbidité par une methode d’elements finis dissipative de galerkin

Translated title of the contribution: Modeling of one-dimensional turbidity currents with a dissipative-galerkin finite element method

Sung Uk Choi, Marcelo H. Garcia

Research output: Contribution to journalArticle

37 Citations (Scopus)

Abstract

A finite element computational algorithm for the solution of one-dimensional, unsteady turbidity currents is presented. The layer-averaged governing equations form a hyperbolic system consisting of three equations, namely continuity and momentum equations for the flow, and mass conservation equation for the sediment. Tracking the front of a propagating turbidity current is akin to the problem of predicting the propagation of a dam-break wave over a dry bed. The standard Galerkin formulation does not give good results when applied to the highly nonlinear flow regime near the front, so the dissipative-Galerkin technique (Petrov-Galerkin technique) which has a selective damping property, is used. The numerical model is applied to the case of a turbidity current developing along a sloping bottom. The computed results compare favorably well against both the relationship proposed by Britter and Linden (1980) to estimate the speed of density currents fronts and the experimental observations made by Altinakar, Graf, and Hopfinger (1990) for weakly-depositional turbidity currents. Satisfactory results are also obtained in both the simulation of an internal hydraulic jump in a turbid underflow and the estimation of the amount of sediment deposited by a turbidity current event.

Original languageFrench
Pages (from-to)623-648
Number of pages26
JournalJournal of Hydraulic Research
Volume33
Issue number5
DOIs
Publication statusPublished - 1995 Sep

Fingerprint

turbidity current
Turbidity
finite element method
Finite element method
modeling
Sediments
Hydraulic jump
density current
sediment
Dams
damping
Numerical models
Conservation
momentum
Momentum
Current density
Damping
dam
hydraulics
simulation

All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • Water Science and Technology

Cite this

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title = "Mod{\'e}lisationfilaire de courants de turbidit{\'e} par une methode d’elements finis dissipative de galerkin",
abstract = "A finite element computational algorithm for the solution of one-dimensional, unsteady turbidity currents is presented. The layer-averaged governing equations form a hyperbolic system consisting of three equations, namely continuity and momentum equations for the flow, and mass conservation equation for the sediment. Tracking the front of a propagating turbidity current is akin to the problem of predicting the propagation of a dam-break wave over a dry bed. The standard Galerkin formulation does not give good results when applied to the highly nonlinear flow regime near the front, so the dissipative-Galerkin technique (Petrov-Galerkin technique) which has a selective damping property, is used. The numerical model is applied to the case of a turbidity current developing along a sloping bottom. The computed results compare favorably well against both the relationship proposed by Britter and Linden (1980) to estimate the speed of density currents fronts and the experimental observations made by Altinakar, Graf, and Hopfinger (1990) for weakly-depositional turbidity currents. Satisfactory results are also obtained in both the simulation of an internal hydraulic jump in a turbid underflow and the estimation of the amount of sediment deposited by a turbidity current event.",
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Modélisationfilaire de courants de turbidité par une methode d’elements finis dissipative de galerkin. / Choi, Sung Uk; Garcia, Marcelo H.

In: Journal of Hydraulic Research, Vol. 33, No. 5, 09.1995, p. 623-648.

Research output: Contribution to journalArticle

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AB - A finite element computational algorithm for the solution of one-dimensional, unsteady turbidity currents is presented. The layer-averaged governing equations form a hyperbolic system consisting of three equations, namely continuity and momentum equations for the flow, and mass conservation equation for the sediment. Tracking the front of a propagating turbidity current is akin to the problem of predicting the propagation of a dam-break wave over a dry bed. The standard Galerkin formulation does not give good results when applied to the highly nonlinear flow regime near the front, so the dissipative-Galerkin technique (Petrov-Galerkin technique) which has a selective damping property, is used. The numerical model is applied to the case of a turbidity current developing along a sloping bottom. The computed results compare favorably well against both the relationship proposed by Britter and Linden (1980) to estimate the speed of density currents fronts and the experimental observations made by Altinakar, Graf, and Hopfinger (1990) for weakly-depositional turbidity currents. Satisfactory results are also obtained in both the simulation of an internal hydraulic jump in a turbid underflow and the estimation of the amount of sediment deposited by a turbidity current event.

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