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Core Information
Title:
AN EQUATION- FREE, REDUCED-ORDER MODELING APPROACH TO TROPICAL PACIFIC SIMULATION
Abstract:
The “equation-free” (EF) method is often used in complex, multi-scale problems. In such cases it is necessary to know the closed form of the required evolution equations about macroscopic variables within some applied fields. Conceptually such equations exist, however, they are not available in closed form. The EF method can bypass this difficulty. This method can obtain macroscopic information by implementing models at a microscopic level. Given an initial macroscopic variable, through lifting we can obtain the associated microscopic variable, which may be evolved using Direct Numerical Simulations (DNS) and by restriction, we can obtain the necessary macroscopic information and the projective integration to obtain the desired quantities. In this paper we apply the EF POD-assisted method to the reduced modeling of a large-scale upper ocean circulation in the tropical Pacific domain. The computation cost is reduced dramatically. Compared with the POD method, the method provided more accurate results and it did not require the availability of any explicit equations or the right-handside (RHS) of the evolution equation.
Keywords:
Proper Orthogonal Decomposition (POD),tropical Pacific Ocean model,Equation-Free POD
Author Information
1.
Wang, Ruiwen
[ , IAP, CAS, Beijing, China ]
Post doc
2.
Zhu, Jiang
[ , IAP, CAS, Beijing, China ]
Neither
3.
Luo, Zhedong
[ School of Mathematics and Physics North China Electric Power University Zhu Xin Zhuang of Beijing City ]
Neither
4.
Navon, Ionel Michael
[ FSU/DSC ]
Neither
Editors Information
1
Gan
Jiaping
Detailed Book Chapter Information
Book Title:
Advances in Geosciences: Volume 12: Ocean Science (Os)
Page Range:
672-688
Publisher Name:
World Scientific Publishing Company
Place of Publication:
Singapore
Year of Publication:
2009
Series Name:
Advances in Geosciences
Volume:
Volume 12
Refereed:
Yes
ISBN:
978-9812836151
Official Url
http://www.worldscibooks.com/environsci/7073.html
Subjects Information
1. Oceanography
2. Mathematics
Contact:
pubs@sc.fsu.edu