Analytical approximation and numerical simulations for periodic travelling water waves

被引：7

作者：

Kalimeris, Konstantinos ^{[1
]}

机构：

[1] Austrian Acad Sci, Johann Radon Inst Computat & Appl Math, A-4040 Linz, Austria

来源：

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2018年 / 376卷 / 2111期

基金：

奥地利科学基金会;

关键词：

travelling water waves; vorticity; asymptotic expansions; numerical continuation; DISPERSION-RELATIONS; STEADY; PRESSURE; DEPTH; FLOWS; VORTICITY; RECOVERY; BENEATH; TRAJECTORIES; PROFILES;

D O I：

10.1098/rsta.2017.0093

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We present recent analytical and numerical results for two-dimensional periodic travelling water waves with constant vorticity. The analytical approach is based on novel asymptotic expansions. We obtain numerical results in two different ways: the first is based on the solution of a constrained optimization problem, and the second is realized as a numerical continuation algorithm. Both methods are applied on some examples of non-constant vorticity. This article is part of the theme issue 'Nonlinear water waves'.

引用

页数：19

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