NUMERICAL EFFICACY STUDY OF DATA ASSIMILATION FOR THE 2D MAGNETOHYDRODYNAMIC EQUATIONS

被引：14

作者：

Hudson, Joshua ^{[1
,2
]}

Jolly, Michael ^{[3
]}

机构：

[1] Univ Maryland Baltimore Cty, 1000 Hilltop Circle, Baltimore, MD 21055 USA

[2] Johns Hopkins Univ, Appl Phys Lab, 11100 Johns Hopkins Rd, Laurel, MD 20723 USA

[3] Indiana Univ, Dept Math, Bloomington, IN 47405 USA

来源：

JOURNAL OF COMPUTATIONAL DYNAMICS | 2019年 / 6卷 / 01期

基金：

美国国家科学基金会;

关键词：

Magnetohydrodynamic equations; data assimilation; synchronization; BENARD CONVECTION; ALGORITHM; VELOCITY; STATE; MODES;

D O I：

10.3934/jcd.2019006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the computational efficiency of several nudging data assimilation algorithms for the 2D magnetohydrodynamic equations, using varying amounts and types of data. We find that the algorithms work with much less resolution in the data than required by the rigorous estimates in [7]. We also test other abridged nudging algorithms to which the analytic techniques in [7] do not seem to apply. These latter tests indicate, in particular, that velocity data alone is sufficient for synchronization with a chaotic reference solution, while magnetic data alone is not. We demonstrate that a new nonlinear nudging algorithm, which is adaptive in both time and space, synchronizes at a super exponential rate.

引用

页码：131 / 145

页数：15

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