Adaptive Haar wavelets for the angular discretisation of spectral wave models

Alexandros Adam*, Andrew G. Buchan, Matthew D. Piggott, Christopher C. Pain, Jon Hill, Mark A. Goffin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


A new framework for applying anisotropic angular adaptivity in spectral wave modelling is presented. The angular dimension of the action balance equation is discretised with the use of Haar wavelets, hierarchical piecewise-constant basis functions with compact support, and an adaptive methodology for anisotropically adjusting the resolution of the angular mesh is proposed. This work allows a reduction of computational effort in spectral wave modelling, through a reduction in the degrees of freedom required for a given accuracy, with an automated procedure and minimal cost.

Original languageEnglish
Pages (from-to)521-538
Number of pages18
JournalJournal of Computational Physics
Early online date2 Nov 2015
Publication statusPublished - 15 Jan 2016

Bibliographical note

© 2015, The Authors.


  • Action balance equation
  • Adaptivity
  • Angular adaptivity
  • Haar wavelets
  • Spectral wave modelling

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