Modelling rotating stratified flows at laboratory-scale using spectrally-based DNS
Modelling rotating stratified flows at laboratory-scale using spectrally-based DNS
复制标题
使用基于频谱的 DNS 对实验室规模的旋转分层流进行建模
DOI：
10.1016/j.ocemod.2012.04.001
复制
发表时间：
2012
期刊：
影响因子：
3.2
通讯作者：
A. Fuente
中科院分区：
文献类型：
--
作者：
K. Winters;A. Fuente
我们描述了基于谱的数值方法在与海洋、湖泊和大气相关的旋转分层流体动力学过程研究中的使用。其目的是利用基于三角函数展开式的方法的众所周知的数值特性，用于需要非齐次边界条件和/或不规则区域的应用。基本的数学思想是从边界条件到强迫项的不一致性交换。文中描述了处理边界条件的不均匀性、体力与边界上的因变量之间的对称失配以及在内部或浸没边界上施加边界条件的基本技术，并用简单的理想化例子进行了说明。然后将这些技术结合起来，说明如何将这些方法应用于实验室实验中的几个流动实例。
We describe the use of spectrally-based numerical methods in process studies of rotating stratified fluid dynamics relevant to oceans, lakes and the atmosphere. The objective is to take advantage of the well-known numerical properties of methods based on expansions in terms of trigonometric functions in applications for which inhomogeneous boundary conditions and/or irregular domains are desired. The underlying mathematical idea is the exchange of inhomogeneity from boundary conditions to forcing terms. The fundamental techniques for handling inhomogeneity in boundary conditions, symmetry mismatches between body forces and dependent variables at boundaries and the imposition of boundary conditions on internal or immersed boundaries are described and illustrated using simple idealized examples. These techniques are then combined to illustrate how these methods can be applied to several examples of flows from laboratory experiments.