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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
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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