期刊
JOURNAL OF NONLINEAR SCIENCE
卷 27, 期 3, 页码 1065-1087出版社
SPRINGER
DOI: 10.1007/s00332-017-9360-y
关键词
Benard convection; Boussinesq system; Continuous data assimilation; Signal synchronization; Nudging; Downscaling
资金
- NSF [DMS-1418911, DMS-1109640, DMS-1109645]
- ONR [N0001416WX01475, N0001416WX00796, N00014-15-1-2333]
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [1418911] Funding Source: National Science Foundation
In this paper we propose a continuous data assimilation (downscaling) algorithm for a two-dimensional B,nard convection problem. Specifically we consider the two-dimensional Boussinesq system of a layer of incompressible fluid between two solid horizontal walls, with no-normal flow and stress-free boundary conditions on the walls, and the fluid is heated from the bottom and cooled from the top. In this algorithm, we incorporate the observables as a feedback (nudging) term in the evolution equation of the horizontal velocity. We show that under an appropriate choice of the nudging parameter and the size of the spatial coarse mesh observables, and under the assumption that the observed data are error free, the solution of the proposed algorithm converges at an exponential rate, asymptotically in time, to the unique exact unknown reference solution of the original system, associated with the observed data on the horizontal component of the velocity.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据