Modelling of transport and collisions between rigid bodies to simulate the jam formation in urban flows

S Hadji, A Ouahsine, H Naceur, P Sergent

Abstract


This study deals with the simulation of transport and interaction betweenbodies considered as a rectangular shape particles, in urban flow. We usedan hydrodynamic two-dimensional finite elements model coupled to theparticles model based on Maxey-Riley equations, and taking into accountof contact between bodies. The finite element discretization is based onthe velocity field richer than pressure field, and the particles displacementsare computed by using a rigid body motion method. A collision strategy isalso developed to handle cases in which bodies touch.

Full Text:

PDF

References


Hu H. H., Joseph D. D., Crochet M. J., “Direct simulation of fluid particles motions”, Theoret Comput. Fluid Dynamics, 3, 285-306, (1992) CrossRef

Glowinsky R., Pan T. W. and Perieux J. , “A fictitious domain method for Di-rechlet problem and applications”, Computer Methods in Applied Mechanics and engineering, 111, 283-303, (1994). CrossRef

Johnson A. , Tezduyar T. , “3-D simulation of fluid-rigid body interactions with the number of rigid bodies reaching 100”, Comp Meth Appl Mech Eng, 145, 301-321, (1997) CrossRef

Pan T. W., Glowinsky R., Joseph J.D., “Simulating the dynamics of fluid-cylinder interactions”, J. Zhejiang Univ. SCI, 6A(2), 97-109, (2005). CrossRef

Yin C., Rosendahl L., Kaer S. K., Sorensen H., “Modelling the motion of cylindrical particles in a nonuniform flow”, Chemical Engineering Science, 58, 3489-3498, (2003) CrossRef

Lohner R., “Robust, Vectorized Search Algorithms for Interpolation on Unstructured Grids”, Journal of Computational Physics, 118, 380-387, (1995) CrossRef

Chang, S.M., Humphrey, J.A.C. and Modavi, A. (1983) “Turbulent flow in a strongly curved Ubend and downstream tangent of square cross-section”, PCH Physical Hydrodynamics, Vol. 4, No. 3, pp.243-269.

Choi, Y.D., Moon, C. and Yang, S.H. (1990) “Measurement of turbulent flow characteristics of square duct with a 1800 bend by hot wire anemometer”, in Rodi, W. and Ganic, E.N. (Eds.): Intl. Symp. on Engng. Turbulence Modelling and Measurements, Elsevier, pp.429-438.

Johnson, R.W. and Launder, B.E. (1985), ‘Local Nusselt number and temperature field in turbulent flow through a heated square-sectioned U-bend’, Int. J. Heat and Fluid Flow, Vol. 6, No 3, pp.171-180. CrossRef

S.Hadji, (1997) G. Dhatt, “Asymptotic-Newton method for solving incompressible flows”, Int. J.Numer. Methods fluids, 44, 861-878, 1997. CrossRef

Kim, J. & Moin, P. 1985 “Application of a fractional-step method to incompressible Navier- Stokes equations”. J. Comput. Phys. 59, 308-323. CrossRef

Maxey M. R., Riley J. J., 1983 “Equation of motion for a small rigid sphere in a nonuniform flow”, Phys. Fluids 26, 883-889 (1983). CrossRef

Soulaimani A., Fortin M., Dhatt G., Ouellet Y., and Bertrand F., 1991. “ Finite element simulation of two- and three-dimensional free surface flows”. Comp. Meth. Appl. Mech. Eng., Volume 86, Issue 3. pp 265-296. CrossRef




DOI: http://dx.doi.org/10.1260/175095408786927435

Copyright (c) 2016 The International Journal of Multiphysics