基金The acknowledgment should be revised into ＂This research was jointly supported by the National Ba- sic Research Program of China （Grant Nos. 2013CB430103 and 2015CB452803）, the National Natural Science Foundation of China （Grant Nos. 41605032, 41375056, 41675051, 41575083, 41675009 and 41730961）, a project of the Specially Appointed Professorship of Jiangsu Province, the Natural Science Foundation for Higher Ed- ucation Institutions in Jiangsu Province （Grant No. 12KJA 170002）, the Open Project of the State Key Laboratory of Severe Weather, Chinese Academy of Meteorological Sciences （Grant No. 2015LASW-A06）, the China Scholarship Council （CSC） and the Priority Academic Program Development of Jiangsu Higher Educa- tion Institutions （PAPD）. The CMA best-track data were obtained from http：//tcdata.typhoon.gov.cn/zjljsjj_sm.html the JMA best- track data were from site at http：//www.jma.go.jp/jma/jma-eng/jma- center/rsmc-hp-pub-eg/besttrack.html and the JTWC WNP best- track data were from http：//www.usno.navy.mil/NOOC/nmfc-ph/ RSS/jtwc/best_tracks/wpindex.php.
基金This work was supported by the Chinesisch-Deutsches Zentrum through project GZ578. The work was initiated while the first two authors enjoyed their pleasant visit to the Hunan Key Laboratory for Computation ＆： Simulation in Science ＆： Engineering of the Xiangtan University in China in 2013. The revision was accomplished during a research stay at the Hausdorff Institute for Mathematics （Bonn） in 2017. The kind hospitality is thankfully acknowledged. The third author was also supported by NSFC key project 91430213.
基金The first and second authors would like to thank Prof. Hehu Xie for the helpful discussion on multigrid methods. The third author was supported by NSFC grants 11331012 aud 11688101. The authors are sincerely grateful to two anonymous referees for their valuable suggestions and comments as well as for pointing out a few relevant literatures.