Adaptive Haar wavelets for the angular discretisation of spectral wave models

JOURNAL OF COMPUTATIONAL PHYSICS

卷:305

Article

Adam, Alexandros¹  Buchan, Andrew G.¹  Piggott, Matthew D.¹  Pain, Christopher C.¹  Hill, Jon²  Goffin, Mark A.¹ 

[1] Univ London Imperial Coll Sci Technol & Med, Dept Earth Sci & Engn, Appl Modelling & Computat Grp, London SW7 2AZ, England

[2] Univ York, Environm Dept, York YO10 5DD, N Yorkshire, England

关键词: Spectral wave modelling;    Action balance equation;    Adaptivity;    Angular adaptivity;    Haar wavelets;   

DOI  :  10.1016/j.jcp.2015.10.046

来源: Elsevier

【 摘 要 】

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. (C) 2015 The Authors. Published by Elsevier Inc.

【 授权许可】

Free