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.
Bibliographical noteFunding 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