Models of non-Boussinesq lock-exchange flow
Models of non-Boussinesq lock-exchange flow
复制标题
非 Boussinesq 锁交换流模型
DOI：
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发表时间：
2011
影响因子：
3.7
通讯作者：
D. Muraki
中科院分区：
文献类型：
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作者：
R. Rotunno;J. Klemp;G. Bryan;D. Muraki
几乎所有的锁交换流的分析模型是基于浅水近似。由于后者的近似失败的前沿相互侵入的流体的锁交换流，浅水方程的解决方案，只能通过指定的前条件。本文给出了非Boussinesq船闸交换流浅水方程在自由边界条件下的解析解。解析解也来自其他建议的前条件-条件出现浅水系统作为强迫边界条件。浅水方程的两种解决方案进行了比较的数值解的Navier-Stokes方程和混合的成功和失败的记录。浅水方程的强迫解的某些方面的明显成功，以及在真实的流体中密度界面是自由边界的事实，表明需要考虑与刚性边界相交的密度界面的非流体静力效应的改进的锁交换流理论。
Nearly all analytical models of lock-exchange flow are based on the shallow-water approximation. Since the latter approximation fails at the leading edges of the mutually intruding fluids of lock-exchange flow, solutions to the shallow-water equations can be obtained only through the specification of front conditions. In the present paper, analytic solutions to the shallow-water equations for non-Boussinesq lock-exchange flow are given for front conditions deriving from free-boundary arguments. Analytic solutions are also derived for other proposed front conditions – conditions which appear to the shallow-water system as forced boundary conditions. Both solutions to the shallow-water equations are compared with the numerical solutions of the Navier–Stokes equations and a mixture of successes and failures is recorded. The apparent success of some aspects of the forced solutions of the shallow-water equations, together with the fact that in a real fluid the density interface is a free boundary, shows the need for an improved theory of lock-exchange flow taking into account non-hydrostatic effects for density interfaces intersecting rigid boundaries.