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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 108
PROCEEDINGS OF THE FIFTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING
Edited by: J. Kruis, Y. Tsompanakis and B.H.V. Topping
Paper 268

Navier Stokes Model of Flow over a Ripple Bed using an Arbitrary Lagrangian Eulerian Approach with a Mapping Technique

A. Lohrasbi1, M.D. Pirooz2 and A. Lavaei1

1Department of Civil Engineering, College of Engineering, Boroujerd Branch, Islamic Azad University, Iran
2School of Civil Engineering, College of Engineering, University of Tehran, Iran

Full Bibliographic Reference for this paper
A. Lohrasbi, M.D. Pirooz, A. Lavaei, "Navier Stokes Model of Flow over a Ripple Bed using an Arbitrary Lagrangian Eulerian Approach with a Mapping Technique", in J. Kruis, Y. Tsompanakis, B.H.V. Topping, (Editors), "Proceedings of the Fifteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 268, 2015. doi:10.4203/ccp.108.268
Keywords: ripple bed, Navier-Stokes equations, mapping, arbitrary Lagrangian Eulerian.

Summary
This paper is concerned with flow over a ripple bed considering unsteady, incompressible viscous flow with a free surface. The method solves the two dimensional Navier-Stokes equations for conservation of momentum, continuity equation, and full nonlinear kinematic free-surface equation for Newtonian fluids, as the governing equations in a vertical plan. A mapping was developed to trace the deformed free surface by transferring the governing equations from the physical domain to a computational domain. Finally a numerical scheme is developed using finite element modelling technique to predict the flow over ripples with using Arbitrary Lagrangian Eulerian algorithm. The results compared with other researches and show the good result.

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