FINITE ELEMENT MODELING FOR HYDRODYNAMIC AND SEDIMENT TRANSPORT ANALYSIS (I) : HYDRODYNAMIC STUDY

  • Published : 2003.04.01

Abstract

In this study, using the numerical model, the flow motion around skewed abutment is investigated to evaluate the skewness effect on the flow distribution. The skewness angle of the abutment which make with main flow direction is changed from $30\circ$ to $150\circ$ with increments of $10\circ$ while the contraction ratios due to the abutment are kept constant. For the investigation of the combined effects on the relationship between the skewness angle and flow intensities, this process will be .repeated fer different types of abutment (single and double) with different flow intensities. The maximum velocities and the velocity distributions, which can be obtained from each angle, are examined and analyzed corresponding to different angles of inclination. Based on successive model applications, an empirical expression, given in a function of contracted ratio and skewness angle, is derived for relating velocity amplifications according to the angle variations.

Keywords

References

  1. Berger, R. C. and Stockstill, R. L. (1995). 'Finite-element model for high-velocity channels.' Journal of Hydraulic Engineering, ASCE, Vol. 121 (10), pp. 710-716 https://doi.org/10.1061/(ASCE)0733-9429(1995)121:10(710)
  2. Brooks, A. N. and Hughes, T.J.R. (1982). 'Streamline Upwind-Galerkin Formulations for Convection Dominated Flows with particular Emphasis on the Incompressible Navier-Stokes Equations,' Computer Methods in Applied Mechanics and Engineering, Vol. 32, pp. 199-259 https://doi.org/10.1016/0045-7825(82)90071-8
  3. Garmy, H. K., and Steffler P. M. (2002) 'Effect of applying different distribution shapes for velocities and pressure on simulation of curved open channels' Journal of Hydraulic Engineering, ASCE, Vol. 128 (II), pp. 969-982 https://doi.org/10.1061/(ASCE)0733-9429(2002)128:11(969)
  4. Heinrich, J.C., Huyakorn, P.S., Zienkiwiewicz, O.C., and Mitchell, A.R., (1977). 'An upwind finite element scheme for two dimensional convective transport equation.' international Journal for Numerical Methods in Engineering, Vol. (11), pp. 627-643 https://doi.org/10.1002/nme.1620110113
  5. Katopodes, N. D. (1984). 'A dissipative Galerkin scheme for open-channel flow.' Journal of Hydraulics Division, ASCE, Vol. 110 (4), pp. 450-465
  6. Kwan, T F. (1984). 'Study of Abutment Scour.' University of Auckland School of Engineering Report No. 328, Department of Civil Engineering, University of Auckland, Auckland, New Zealand
  7. Mayerle, R., Toro, F. M. and Wang, S. S. Y. (1995). 'Verification of a three dimensional numerical model simulation of the flow in the vicinity of spur dikes.' Journal of Hydraulic Research, Vol. (33), pp. 243-256
  8. Molinas, A., and Hafez, Y. (2000) 'Finite Element Surface Model for Flow around Vertical wall Abutment.' Journal of Fluids and Structure, Vol. (14), pp. 711-733 https://doi.org/10.1006/jfls.2000.0295
  9. Ouillon, S., and Dartus, D. (1997). 'Three Dimensional Computation of Flow Around Groyne' Journal of Hydraulic Engineering, ASCE, Vol. 123 (1), pp. 962-970 https://doi.org/10.1061/(ASCE)0733-9429(1997)123:11(962)
  10. Rajaratnam, N., and Nwachukwu, B. (1983). 'Flow Near Groyne-Like Structures.' Journal of Hydraulics Division, ASCE, Vol. 109 (3), pp. 463-480
  11. Rastogi and Rodi (1978). 'Predictions of heat and mass transfer in open channels.' Journal of Hydraulics Division, ASCE, Vol. 104 (3), pp. 397-420
  12. Tisdale, T. S., Scarlatos, P. D. and Hamrick, J. M. (1998). 'Streamline upwind finite-element method for overland flow.' Journal of Hydraulic Engineering, ASCE, Vol. 124 (4), pp. 350-357 https://doi.org/10.1061/(ASCE)0733-9429(1998)124:4(350)
  13. Zienkiwicz, O. C. and Taylor, R. L. (1989) 'The finite element method' 4th edition