A Review of Strategies for Finite Element Modeling of Three Dimensional Hydrodynamic Systems

  • Ian P. King
Conference paper


The methodology for three dimensional finite element analysis of hydrodynamic systems has been readily available since the basic development of two dimensional models. However, the simulation of a system composed entirely of three dimensional elements is computationally very expensive and little practical analysis has been undertaken. In an effort to reduce cost the author in a previous paper presented a simplified three dimensional model that used the hydrostatic pressure approximation to eliminate the vertical momentum equation and a transformation of the geometric system to a unit vertical dimension to directly solve for the free surface profile (King, 1982).


Bottom Slope Stratify Flow Vertical Momentum Bottom Profile Free Surface Profile 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Engleman, M. S., R. L. Sani and P. M. Gresho, 1982, “The Implementation of Normal and/or Tangential Boundary Conditions in Finite Element Codes for Incompressible Fluid flow,” International Journal of Numerical Methods in Fluids, Volume 2, No. 3.Google Scholar
  2. King, I. P., W. R. Norton and K. R. Iceman, 1975, “A Finite Element Solution for Two-Dimensional Stratified Flow Poblem,” Chapter 7, Finite Elements in Fluids, Volume 1, edited by R. H. Gallagher, J. T. Oden, C. Taylor and 0. C. Zienkiewicz, John Wiley and Sons, 1975Google Scholar
  3. King, I. P., 1982, “A Three Dimensional Finite Element Model for Stratified Flow,” presented at the 4th International Sumposium on Finite Elements in Fluids, Tokyo, Japan.Google Scholar
  4. Leschziner, M. A. and W. Rodi, 1979, “Calculation of Strongly Curved Open Channel Flow,” Journal of the Hydraulics Division, ASCE, Volume 105, No. HY10.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1984

Authors and Affiliations

  • Ian P. King
    • 1
  1. 1.Davis Resource Management AssociatesUniversity of CaliforniaLafayetteUSA

Personalised recommendations