A Comparative Study of CART and PTM for Modelling Water Age

CART （Constituent-oriented age and residence time theory） and PTM （Particle-tracking method） are two widely used numerical methods tO calculate water age. These two methods are essentially equivalent in theory but their results may be different in practice. The difference of the two methods was eval...

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Bibliographic Details
Published in:Journal of Ocean University of China 2015-02, Vol.14 (1), p.47-58
Main Authors: Wang, Haiyan, Guo, Xinyu, Liu, Zhe, Gao, Huiwang
Format: Article
Language:English
Subjects:
Atoms & subatomic particles
CART
Comparative studies
Diffusion coefficient
Earth and Environmental Science
Earth Sciences
Meteorology
Numerical analysis
Ocean circulation
Oceanography
PTM
Uniform flow
位移计算
均匀流场
扩散系数
模拟
水平方向
空间变化
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Summary:CART （Constituent-oriented age and residence time theory） and PTM （Particle-tracking method） are two widely used numerical methods tO calculate water age. These two methods are essentially equivalent in theory but their results may be different in practice. The difference of the two methods was evaluated by applying them to calculate water age in an idealized one-dimensional domain. The model results by the two methods are consistent with each other in the case with either Spatially uniform flow field or spatially uniform diffusion coefficient. If we allow the spatial variation in horizontal diffusion, a term called pseudo displacement arising from the spatial variation of diffusion coefficient likely plays an important role for the PTM to obtain accurate water age. In particular, if the water particle is released at a place where the diffusion is not the weakest, the water age calculated by the PTM without pseudo displacement is much larger than that by the CART. This suggests that the pseudo displacement cannot be neglected in the PTM to calculate water age in a realistic ocean. As an example, we present its potential importance in the Bohai Sea where the diffusion coefficient varies spatially and greatly.
ISSN:1672-5182
1993-5021
1672-5174
DOI:10.1007/s11802-015-2393-7