Skip to main content
SpringerLink
Log in

Finite Element Computation of Two-Dimensional Unsteady Flow for River Problems

  • Conference paper
Finite Elements in Water Resources

  • 314 Accesses

Summary

This paper presents the results of studies on the development and application of a generalized finite element model for the computation of two-dimensional unsteady free surface flows with emphasis on river problems. The model formulation is based on the complete depth-integrated shallow water equations. The finite element procedure employs linear triangular elements and linear shape functions with Galerkin’s method of weighted residuals. The time integration is carried out implicitly and the scheme is unconditionally stable. The computed results are in good agreement with published data and analytical solutions. The model has been tested on different problems and has been found to be very efficient.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Benque’, J. P., Cunge, J. A., Feuillet, J., Hauguel, A., and Holley, F. M. (1982) “New Methods for Tidal Current Computations,” Journal of Waterway, Port, Coastal and Ocean Division, ASCE 108 (WW3): 396–467.

    Google Scholar 

  2. Falconer, R. A., (1980) “Numerical Modeling of Tidal Circulations in Harbors,” Journal of the Waterway, Port, Coastal and Ocean Division, ASCE 106 (WW1): 31–48.

    Google Scholar 

  3. Gallagher, R. H., Zienkiewicz, J. T., Oden, M. M., Cecchi and Taylor, C., eds. (1974) Finite Elements in Fluids, Vols. 1, 2 and 3, John Wiley and Sons, New York.

    Google Scholar 

  4. Gray, G. W. and Lynch, D. R. (1977) “Time Stepping Schemes for Finite Element Tidal Model Computation,” Advances in Water Resources, 1(2), pp. 83–95.

    Google Scholar 

  5. Hosseinipour, Z. (1983) “A Comparative Two-Dimensional Mathematical Modeling of Free Surface Flow with Special Application to Wide Rivers.” Ph.D. Dissertation, Department of Civil Engineering, North Carolina State University at Raleigh, North Carolina.

    Google Scholar 

  6. Huebner, K. H. (1975) The Finite Element Method for Engineers, John Wiley and Sons, New York.

    Google Scholar 

  7. Katapodes, N. D. (1980) “Finite Element Model for Open Channel Flow Near Critical Conditions,” Finite Elements in Water Resources, III, Yang, S. Y. and Brebbia, C. A. Editors, The University of Mississippi, University, Mississippi, pp. 5.37–5.46.

    Google Scholar 

  8. King, I. P., Norton, W. R., and Orlob, G. T. (1975) “A Finite Element Solution for Two-Dimensional Density Stratified Flow,” U.S. Department of Interior, Office of Water Resources Research, Water Resources Engineers.

    Google Scholar 

  9. Koutitas, C. G. (1978) “Numerical Solution of the Complete Equations of Nearly Horizontal Flows,” Advances in Water Resources, 1(4), pp. 213–217.

    Google Scholar 

  10. Leendertse, J. J. (1970) “A Water Quality Simulation Model for Well Mixed Estuaries and Coastal Water,” Vol. 1, Principles of Computation, Report RM-6230-RC, The Rand Corp., Santa Monica, California.

    Google Scholar 

  11. Reid, R. O. and Bodine, B. R. (1968) “Numerical Model for Storm Surges in Galveston Bay,” J. of Waterways, Harbors and Coastal Engineering Division, Proc. ASCE, Vol. 94, No. WW1, pp. 33–37.

    Google Scholar 

  12. Thienpont, M. and Berlamont, J. (1980) “A Finite Element Solution for Depth Averaged 2D Navier-Stokes Equations for Flow in Rivers and Canals.” Finite Elements in Water Resources, III, Yang, S. Y. and Brebbia, C. A., Editors, The University of Mississippi, University, Mississippi, pp. 5.28–5.36.

    Google Scholar 

  13. Wang, J. D. and Connor, J. J. (1975) “Mathematical Modeling of Near Coastal Circulation,” Report No. 200, Massachusetts Institute of Technology, Cambridge, Massachusetts, 272 pp.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Shaw University, Raleigh, North Carolina, USA

    Zia Hosseinipour

  2. North Carolina State University, Raleigh, North Carolina, USA

    Michael Amein

Authors
  1. Zia Hosseinipour
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Michael Amein
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Computational Mechanics Centre, Ashurst Lodge, SO4 2AA, Ashurst, Southampton, Hampshire, UK

    J. P. Laible , C. A. Brebbia , W. Gray  & G. Pinder , ,  & 

Rights and permissions

Reprints and permissions

Copyright information

© 1984 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Hosseinipour, Z., Amein, M. (1984). Finite Element Computation of Two-Dimensional Unsteady Flow for River Problems. In: Laible, J.P., Brebbia, C.A., Gray, W., Pinder, G. (eds) Finite Elements in Water Resources. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-11744-6_39

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-11744-6_39

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-11746-0

  • Online ISBN: 978-3-662-11744-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation