Finite Element Solution of Linear Waves on a Sloping Bottom Boundary

Tae Hwa Jung, Sangyoung Son, Yonguk Ryu

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


A new, finite-element solution of linear water waves, which can be applied to a nonvertical bottom boundary, is introduced in this study. The present solution can be applied to regions in which the water depth gradually approaches zero, such as coastlines. To obtain this solution, the entire domain is divided into three subregions. In the up-wave and down-wave subregions, analytical solutions are used. In the middle region, which occupies most computational domain, the standard Galerkin finite-element method is applied. The introduced numerical method is compared with an analytical solution to show its validity.

Original languageEnglish
Pages (from-to)731-737
Number of pages7
JournalJournal of Coastal Research
Issue number3
Publication statusPublished - 2017 May

Bibliographical note

Funding Information:
This study was supported in part by the Basic Research Programs (2012R1A1A1011884 and 2014R1A1A1008517) of the National Research Foundation of Korea.


  • Analytical solution
  • linear water wave
  • natural topography

ASJC Scopus subject areas

  • Ecology
  • Water Science and Technology
  • Earth-Surface Processes


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