Skip to main content
SpringerLink
Log in

Analysis of dam-reservoir interaction by using homotopy analysis method

  • Structural Engineering
  • Published:
KSCE Journal of Civil Engineering Aims and scope

Abstract

In this paper, dam-reservoir interaction for a vibrating structure in an unbounded and incompressible and inviscid fluid is analyzed by using homotopy analysis method. In the derivation of the hydrodynamic pressure variable, it is assumed that vibration of dam is in the normal direction of dam-reservoir interface and this interface is vertical. Moreover, bottom of fluid is rigid and horizontal. The results are compared with finite element method and analytical ones. It is seen that the results are efficient and gives better values than the previous published results and this method can be extendable for compressible fluid domains.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Chakrabarti, P. and Chopra, A. K. (1974). “Hydrodynamic effects in earthquake response of gravity dams.” ASCE J. Stuct. Div., Vol. 100, No. 100, pp. 1211–1224.

    Google Scholar 

  • Chwang, A. T. and Hausner, G. W. (1978). “Hydrodynamic pressures on sloping dams during earthquakes. Part 1: Momentum method.” J. Fluid Mech,. Vol. 87, No. 2, pp. 335–341.

    Article  MATH  Google Scholar 

  • İnç, M. (2007). “On exact solution of Laplace Equation with Dirichlet and Neumann boundary conditions by homotopy analysis method.” Physics Letters A, Vol. 365, No. 5, pp. 412–415.

    Article  MATH  MathSciNet  Google Scholar 

  • Küçükarslan, S. (2005). “An exact truncation boundary condition for incompressible-unbounded infinite fluid domains.” Applied. Mathematics and Computation., Vol. 163, No. 1, pp. 61–69.

    Article  MATH  MathSciNet  Google Scholar 

  • Liao, S. J. (1992). The proposed homotopy analysis technique for the solution of nonlinear problems1, PhD Thesis, Shanghai Jiao Tong University.

  • Liao, S. J. (2003). “An explicit, totally analytic approximate solution for Blasius’ viscous flow problems.” Int. J. Non-Linear Mech. Vol. 34, No. 4, pp. 759–778.

    Article  Google Scholar 

  • Liao, S. J. (2003). Beyond perturbation: Introduction to the homotopy analysis method, Champan & Hall/CRC Press, Boca Raton.

    Book  Google Scholar 

  • Liao, S. J. (2003) “On the analytic solution of magneto hydrodynamic flows of non-Newtonian fluids over a stretching sheet.” J. Fluid. Mech. Vol. 488, No. 1, pp. 189–212.

    Article  MATH  MathSciNet  Google Scholar 

  • Nath, B. (1971). “Coupled hydrodynamic response of gravity dam.” Proc. Inst. Civ. Engng, Vol. 48, No. 2, pp. 245–257.

    Article  MathSciNet  Google Scholar 

  • Sharan, S. K. (1985). “Finite element analysis of unbounded and incompressible fluid domains.” Int. J. Numer. Meth, Vol. 21, No. 9, pp. 1659–1669.

    Article  MATH  MathSciNet  Google Scholar 

  • Sommerfeld, A. (1949). Partial differential equations in physics, Academic Press, New York.

    MATH  Google Scholar 

  • Zienkiewicz, O. C., Irons, B., and Nath, B. (1965). “Natural frequencies of complex free or submerged structures by the finite element method.” Symp. Vibrations Civ. Engng, Butterworths, London.

Download references

Author information

Authors and Affiliations

  1. Dept. of Mathematics, Istanbul Technical University, Istanbul, 34469, Turkey

    M. A. Karaca

  2. Dept. of Civil Engineering, Istanbul Technical University, Istanbul, 34469, Turkey

    S. Küçükarslan

Authors
  1. M. A. Karaca
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. Küçükarslan
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S. Küçükarslan.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Karaca, M.A., Küçükarslan, S. Analysis of dam-reservoir interaction by using homotopy analysis method. KSCE J Civ Eng 16, 103–106 (2012). https://doi.org/10.1007/s12205-012-0870-8

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12205-012-0870-8

Keywords

Search

Navigation