Arbitrary lagrangian-eulerian approach for finite element modeling of two-dimensional turbidity currents

Sung Uk Choi; Marcelo H. Garcia

doi:10.1080/02508069608686513

Arbitrary lagrangian-eulerian approach for finite element modeling of two-dimensional turbidity currents

Sung Uk Choi, Marcelo H. Garcia

Department of Civil and Environmental Engineering

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

A finite element numerical model is proposed for the simulation of two-dimensional turbidity currents. Time-dependent, layer-averaged governing equations—a hyperbolic system of partial differential equations—are chosen for the numerical analysis. The Arbitrary Lagrangian-Eulerian description is introduced to provide a computational framework for the moving boundary problem. A dissipative-Galerkin formulation is used for the spatial discretization, and a second-order finite difference scheme is used for the time integration. A deforming-grid generation technique is employed to cope with the moving boundary of a propagating front. In order to estimate the bed elevation change by the turbidity current, the double-grid finite element technique is used. The developed numerical algorithm is applied to the simulation of a laboratory experiment.

Original language	English
Pages (from-to)	175-182
Number of pages	8
Journal	Water International
Volume	21
Issue number	3
DOIs	https://doi.org/10.1080/02508069608686513
Publication status	Published - 1996 Sept

Bibliographical note

Funding Information:
9. Choi, S.-U., and M. Garcia, “Modeling of One-Dimen-The support from the Marine Geology and Geophysicssional Turbidity Currents with a Dissipative-Gale&in program of the U.S. Office of Naval Re(sNe0a0r0c1h4 - Finite Element Meth” oJodu,rnal of Hydraulic Research, 93-l-0044) is gratefully acknowledged. The writers alsoVol. 30, No. 5, 1985, pp. 623-648. wish to thank A.A. Akanbi, Illinois State Water Sur1v0e.y ,AlcanbAi,. A., and N.D. Katopodes, “Model for Flood for his useful comments. Propagation on Initially Dry ”L aJonudrn, al of Hydraulic Engineering, ASCE, Vol 114, No. 7, 1988, pp. 689-706. 11. Lynch, D.R., and W.G. Gray, “Finite Element Simulation of Flows in Deforming Reg” ioJonusr,nal of Computa- tional Physics, Vol. 36, 1980, pp. 135-153. 12. Katopodes, N,.D“T.wo-dimensional Surges and Shocks 1. Braschi, GF..,D adonea, nd M. Gallati, “Plain Flooding: ASCE,Vol 110, No. 6, 1984, pp. 794-812.in Open Chann”e Jlso,urnal of Hydraulic Engineering,

All Science Journal Classification (ASJC) codes

Water Science and Technology
Management, Monitoring, Policy and Law

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10.1080/02508069608686513

Cite this

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title = "Arbitrary lagrangian-eulerian approach for finite element modeling of two-dimensional turbidity currents",

abstract = "A finite element numerical model is proposed for the simulation of two-dimensional turbidity currents. Time-dependent, layer-averaged governing equations—a hyperbolic system of partial differential equations—are chosen for the numerical analysis. The Arbitrary Lagrangian-Eulerian description is introduced to provide a computational framework for the moving boundary problem. A dissipative-Galerkin formulation is used for the spatial discretization, and a second-order finite difference scheme is used for the time integration. A deforming-grid generation technique is employed to cope with the moving boundary of a propagating front. In order to estimate the bed elevation change by the turbidity current, the double-grid finite element technique is used. The developed numerical algorithm is applied to the simulation of a laboratory experiment.",

author = "Choi, {Sung Uk} and Garcia, {Marcelo H.}",

note = "Funding Information: 9. Choi, S.-U., and M. Garcia, “Modeling of One-Dimen-The support from the Marine Geology and Geophysicssional Turbidity Currents with a Dissipative-Gale&in program of the U.S. Office of Naval Re(sNe0a0r0c1h4 - Finite Element Meth” oJodu,rnal of Hydraulic Research, 93-l-0044) is gratefully acknowledged. The writers alsoVol. 30, No. 5, 1985, pp. 623-648. wish to thank A.A. Akanbi, Illinois State Water Sur1v0e.y ,AlcanbAi,. A., and N.D. Katopodes, “Model for Flood for his useful comments. Propagation on Initially Dry ”L aJonudrn, al of Hydraulic Engineering, ASCE, Vol 114, No. 7, 1988, pp. 689-706. 11. Lynch, D.R., and W.G. Gray, “Finite Element Simulation of Flows in Deforming Reg” ioJonusr,nal of Computa- tional Physics, Vol. 36, 1980, pp. 135-153. 12. Katopodes, N,.D“T.wo-dimensional Surges and Shocks 1. Braschi, GF..,D adonea, nd M. Gallati, “Plain Flooding: ASCE,Vol 110, No. 6, 1984, pp. 794-812.in Open Chann”e Jlso,urnal of Hydraulic Engineering,",

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Arbitrary lagrangian-eulerian approach for finite element modeling of two-dimensional turbidity currents

Abstract

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