Adaptive Haar wavelets for the angular discretisation of spectral wave models

TY - JOUR

T1 - Adaptive Haar wavelets for the angular discretisation of spectral wave models

AU - Adam, Alexandros

AU - Buchan, Andrew G.

AU - Piggott, Matthew D.

AU - Pain, Christopher C.

AU - Hill, Jon

AU - Goffin, Mark A.

N1 - © 2015, The Authors.

PY - 2016/1/15

Y1 - 2016/1/15

N2 - 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.

AB - 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.

KW - Action balance equation

KW - Adaptivity

KW - Angular adaptivity

KW - Haar wavelets

KW - Spectral wave modelling

UR - http://www.scopus.com/inward/record.url?scp=84946887867&partnerID=8YFLogxK

U2 - 10.1016/j.jcp.2015.10.046

DO - 10.1016/j.jcp.2015.10.046

M3 - Article

AN - SCOPUS:84946887867

SN - 0021-9991

VL - 305

SP - 521

EP - 538

JO - Journal of Computational Physics

JF - Journal of Computational Physics

ER -