Adaptive Haar wavelets for the angular discretisation of spectral wave models

被引：5

作者：

Adam, Alexandros ^{[1
]}

Buchan, Andrew G. ^{[1
]}

Piggott, Matthew D. ^{[1
]}

Pain, Christopher C. ^{[1
]}

Hill, Jon ^{[2
]}

Goffin, Mark A. ^{[1
]}

机构：

[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

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2016年 / 305卷

基金：

英国工程与自然科学研究理事会;

关键词：

Spectral wave modelling; Action balance equation; Adaptivity; Angular adaptivity; Haar wavelets; BOLTZMANN TRANSPORT-EQUATION; WIND-WAVES; OCEAN; COMPRESSION; TRANSFORMS; SWAN; PDES;

D O I：

10.1016/j.jcp.2015.10.046

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

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.

引用

页码：521 / 538

页数：18

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