Application of Wavenumber-TD approach for time harmonic analysis of concrete arch dam-reservoir systems

Vahid Lotfi*, Gerald Zenz

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


The Wavenumber or more accurately Wavenumber-FD approach was initially introduced for two-dimensional dynamic analysis of concrete gravity dam-reservoir systems. The technique was formulated in the context of pure finite element programming in frequency domain. Later on, a variation of the method was proposed which was referred to as Wavenumber-TD approach suitable for time domain type of analysis. Recently, it is also shown that Wavenumber-FD approach may be applied for three-dimensional dynamic analysis of concrete arch dam-reservoir systems. In the present study, application of its variation (i.e., Wavenumber-TD approach) is investigated for three-dimensional problems. The method is initially described. Subsequently, the response of idealized Morrow Point arch dam-reservoir system is obtained by this method and its special cases (i.e., two other well-known absorbing conditions) for time harmonic excitation in stream direction. All results for various considered cases are compared against the exact response for models with different values of normalized reservoir length and reservoir base/sidewalls absorptive conditions.

Original languageEnglish
Pages (from-to)353-371
Number of pages19
JournalCoupled Systems Mechanics
Issue number3
Publication statusPublished - 1 Jun 2018


  • Absorbing boundary conditions
  • Concrete arch dams
  • Truncation boundary
  • Wavenumber

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Mechanics of Materials

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