The conformal-mapping method for surface gravity waves in the presence of variable bathymetry and mean current

C. Viotti, D. Dutykh, F. Dias

Research output: Contribution to journalConference articlepeer-review

19 Scopus citations

Abstract

The conformal mapping formulation for the free-surface Euler equations in the presence of non homogeneous, yet stationary bathymetry is here derived and numerically implemented. The differences arising with respect to the more familiar flat-bottom and deep-water versions of the method are examined in detail. It is also shown how the loss of translational invariance due to the variable bottom profile naturally leads to consider a further extension of the method, which accounts for the superposition-otherwise immaterial-of an irrotational mean stream. As it is illustrated by numerical examples, the formulation presented is suitable for the study of fully nonlinear wave-topography and wave-current interactions realized by combining mean current and variable bathymetry.

Original languageBritish English
Pages (from-to)110-118
Number of pages9
JournalProcedia IUTAM
Volume11
DOIs
StatePublished - 2014
EventIUTAM Symposium on Nonlinear Interfacial Wave Phenomena from the Micro- to the Macro-Scale - Limassol, Cyprus
Duration: 14 Apr 201317 Apr 2013

Keywords

  • Conformal mapping
  • Spectral methods
  • Surface gravity waves

Fingerprint

Dive into the research topics of 'The conformal-mapping method for surface gravity waves in the presence of variable bathymetry and mean current'. Together they form a unique fingerprint.

Cite this