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

Authors

  • S Hadji
  • A Ouahsine
  • H Naceur
  • P Sergent

DOI:

https://doi.org/10.1260/175095408786927435

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.

References

Hu H. H., Joseph D. D., Crochet M. J., “Direct simulation of fluid particles motions”, Theoret Comput. Fluid Dynamics, 3, 285-306, (1992). https://doi.org/10.1007/bf00717645

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). https://doi.org/10.1016/0045-7825(94)90135-x

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). https://doi.org/10.1631/jzus.2005.a0097

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). https://doi.org/10.1016/s0009-2509(03)00214-8

Lohner R., “Robust, Vectorized Search Algorithms for Interpolation on Unstructured Grids”, Journal of Computational Physics, 118, 380-387, (1995). https://doi.org/10.1006/jcph.1995.1107

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. https://doi.org/10.1016/0142-727x(85)90006-2

S.Hadji, (1997) G. Dhatt, “Asymptotic-Newton method for solving incompressible flows”, Int. J.Numer. Methods fluids, 44, 861-878, 1997. https://doi.org/10.1002/(sici)1097-0363(19971030)25:8<861::aid-fld589>3.0.co;2-o

Kim, J. & Moin, P. 1985 “Application of a fractional-step method to incompressible Navier- Stokes equations”. J. Comput. Phys. 59, 308-323. https://doi.org/10.1016/0021-9991(85)90148-2

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). https://doi.org/10.1063/1.864230

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. https://doi.org/10.1016/0045-7825(91)90224-t

Published

2008-09-30

How to Cite

Hadji, S., Ouahsine, A., Naceur, H. and Sergent, P. (2008) “Modelling of transport and collisions between rigid bodies to simulate the jam formation in urban flows”, The International Journal of Multiphysics, 2(3), pp. 247-266. doi: 10.1260/175095408786927435.

Issue

Section

Articles