Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 628061, 9 pages
Research Article

Inverse Estimation of Open Boundary Conditions in the Bohai Sea

1Laboratory of Physical Oceanography, Ocean University of China, Qingdao 266100, China
2National Marine Data and Information Service, Tianjin 300171, China

Received 26 April 2012; Revised 13 June 2012; Accepted 25 June 2012

Academic Editor: Fatih Yaman

Copyright © 2012 Zheng Guo et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper presents an algorithm for the estimation of open boundary conditions (OBCs) which force tides in the interior region by an adjoint data assimilation approach. Assuming that OBCs are position dependent, OBCs can be approximated by linear interpolation among values at certain independent points (IPs). Twin experiments are performed to examine the sensitivity of the model to the IP distribution and interpolation radius. It is proved that the prescribed OBCs can be well recovered with appropriate number of IP and interpolation radius. In the Bohai Sea model domain with horizontal resolution of 10×10, the appropriate number of IP is 3 and the interpolation radius is 60′. In the practical experiment, the M2 constituent in the Bohai Sea is simulated by assimilating the T/P data and tidal gauge data. The mean absolute errors in amplitude and phase are 5.0 cm and 5.7°, respectively, and the cochart obtained shows the character of M2 constituent in the Bohai Sea.