Variational data assimilation for Hamiltonian problems

被引：2
作者：
Watkinson, LR
Lawless, AS
Nichols, NK
Roulstone, I
机构：
[1] Univ Reading, Dept Math, Reading RG6 6AX, Berks, England
[2] Univ Surrey, Dept Math & Stat, Surrey, England
来源：
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS | 2005年 / 47卷 / 10-11期
关键词：
data assimilation; Hamiltonian; conservation; two-body;
D O I：
10.1002/fld.844
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
We investigate the conservation properties of Hamiltonian systems in variational data assimilation. We set up a four-dimensional data assimilation scheme for the two-body (Kepler) system using a symplectic scheme to model the non-linear problem. We use our completed scheme to investigate the observability of the system and the effect of different background constraints. We find that the addition of these constraints gives an improved solution for the cases we have investigated. Copyright (c) 2005 John Wiley & Sons, Ltd.
引用
收藏
页码：1361 / 1367
页数：7
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