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'.
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页数：19
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