TRANSCRITICAL FLOW PAST AN OBSTACLE

被引：22
|
作者：
Grimshaw, R. [1 ]
机构：
[1] Univ Loughborough, Dept Math Sci, Loughborough LE11 3TU, Leics, England
来源：
ANZIAM JOURNAL | 2010年 / 52卷 / 01期
关键词：
solitary waves; transcritical flow; undular bore; SOLITARY WAVES; RESONANT FLOW; MOVING DISTURBANCES; SUBMERGED OBSTACLES; STRATIFIED FLUID; SHALLOW CHANNEL; TOPOGRAPHY; GENERATION; CONTRACTION; SOLITONS;
D O I：
10.1017/S1446181111000599
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is well known that transcritical flow past an obstacle may generate undular bores propagating away from the obstacle. This flow has been successfully modelled in the framework of the forced Korteweg-de Vries equation, where numerical simulations and asymptotic analyses have shown that the unsteady undular bores are connected by a locally steady solution over the obstacle. In this paper we present an overview of the underlying theory, together with some recent work on the case where the obstacle has a large width.
引用
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页码：1 / 25
页数：25
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