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Adaptive Grid Technique Based on the Variational Principle and Its Weight Functions


doi: 10.1007/s00376-002-0010-3

  • Two computational cases that have analytic solutions are employed for studying the adaptive grid technique based on the variational principle. The results show that for the computational case of traveling shock waves the weight function, with the 2nd-order derivation terms taken into consideration, can more effectively reduce the error than one with gradient terms. For the case of cyclonic frontogenesis, weight functions only related to the gradient are unable to enhance the computational accuracy. while ones with the wind field and frontogenesis function taken into consideration can more reasonably arrange the grid. Compared with analytic solutions, the adaptive grid technique suggested in this paper can improve computational accuracy and it displays the prominent advantage of saving memory.
  • [1] YANG Jing, BAO Qing, JI Duoying, GONG Daoyi, MAO Rui, ZHANG Ziyin, Seong-Joong KIM, 2014: Simulation and Causes of Eastern Antarctica Surface Cooling Related to Ozone Depletion during Austral Summer in FGOALS-s2, ADVANCES IN ATMOSPHERIC SCIENCES, 31, 1147-1156.  doi: 10.1007/s00376-014-3144-1
    [2] HU Dingzhu, TIAN Wenshou, XIE Fei, SHU Jianchuan, and Sandip DHOMSE, , 2014: Effects of Meridional Sea Surface Temperature Changes on Stratospheric Temperature and Circulation, ADVANCES IN ATMOSPHERIC SCIENCES, 31, 888-900.  doi: 10.1007/s00376-013-3152-6
    [3] Hyo-Eun JI, Soon-Hwan LEE, Hwa-Woon LEE, 2013: Characteristics of Sea Breeze Front Development with Various Synoptic Conditions and Its Impact on Lower Troposphere Ozone Formation, ADVANCES IN ATMOSPHERIC SCIENCES, 30, 1461-1478.  doi: 10.1007/s00376-013-2256-3
    [4] ZHAO Haikun, WU Liguang*, and WANG Ruifang, 2014: Decadal Variations of Intense Tropical Cyclones over the Western North Pacific during 19482010, ADVANCES IN ATMOSPHERIC SCIENCES, 31, 57-65.  doi: 10.1007/s00376-013-3011-5
    [5] Tianxue ZHENG, Yongbo TAN, Yiru WANG, 2021: Numerical Simulation to Evaluate the Effects of Upward Lightning Discharges on Thunderstorm Electrical Parameters, ADVANCES IN ATMOSPHERIC SCIENCES, 38, 446-459.  doi: 10.1007/s00376-020-0154-z
    [6] Yang Fanglin, Yuan Chongguang, 1993: Numerical Simulation of Regional Short-Range Climate Anomalies, ADVANCES IN ATMOSPHERIC SCIENCES, 10, 335-344.  doi: 10.1007/BF02658139
    [7] Xie Zhenghui, Dai Yongjiu, Zeng Qingcun, 1999: An Unsaturated Soil Water Flow Problem and Its Numerical Simulation, ADVANCES IN ATMOSPHERIC SCIENCES, 16, 183-196.  doi: 10.1007/BF02973081
    [8] Chen Yuejuan, Zheng Bin, Zhang Hong, 2002: The Features of Ozone Quasi-Biennial Oscillation in Tropical Stratosphere and Its Numerical Simulation, ADVANCES IN ATMOSPHERIC SCIENCES, 19, 777-793.  doi: 10.1007/s00376-002-0044-6
    [9] Jianjun LIU, Feimin ZHANG, Zhaoxia PU, 2017: Numerical Simulation of the Rapid Intensification of Hurricane Katrina (2005): Sensitivity to Boundary Layer Parameterization Schemes, ADVANCES IN ATMOSPHERIC SCIENCES, 34, 482-496.  doi: 10.1007/s00376-016-6209-5
    [10] PING Fan, GAO Shouting, WANG Huijun, 2003: A Comparative Study of the Numerical Simulation of the 1998 Summer Flood in China by Two Kinds of Cumulus Convective Parameterized Methods, ADVANCES IN ATMOSPHERIC SCIENCES, 20, 149-157.  doi: 10.1007/BF03342059
    [11] ZENG Zhihua, DUAN Yihong, LIANG Xudong, MA Leiming, Johnny Chung-leung CHAN, 2005: The Effect of Three-Dimensional Variational Data Assimilation of QuikSCAT Data on the Numerical Simulation of Typhoon Track and Intensity, ADVANCES IN ATMOSPHERIC SCIENCES, 22, 534-544.  doi: 10.1007/BF02918486
    [12] LI Weiping, XUE Yongkang, 2005: Numerical Simulation of the Impact of Vegetation Index on the Interannual Variation of Summer Precipitation in the Yellow River Basin, ADVANCES IN ATMOSPHERIC SCIENCES, 22, 865-876.  doi: 10.1007/BF02918686
    [13] XU Zhifang, GE Wenzhong, DANG Renqing, Toshio IGUCHI, Takao TAKADA, 2003: Application of TRMM/PR Data for Numerical Simulations with Mesoscale Model MM5, ADVANCES IN ATMOSPHERIC SCIENCES, 20, 185-193.  doi: 10.1007/s00376-003-0003-x
    [14] FENG Lei, ZHANG Yaocun, 2007: Impacts of the Thermal Effects of Sub-grid Orography on the Heavy Rainfall Events Along the Yangtze River Valley in 1991, ADVANCES IN ATMOSPHERIC SCIENCES, 24, 881-892.  doi: 10.1007/s00376-007-0881-4
    [15] Song Yukuan, Chen Longxun, Dong Min, 1994: Numerical Simulation for the Impact of Deforestation on Climate in China and Its Neighboring Regions, ADVANCES IN ATMOSPHERIC SCIENCES, 11, 212-223.  doi: 10.1007/BF02666547
    [16] Cheng Anning, Chen Wen, Huang Ronghui, 1998: The Sensitivity of Numerical Simulation of the East Asian Monsoon to Different Cumulus Parameterization Schemes, ADVANCES IN ATMOSPHERIC SCIENCES, 15, 204-220.  doi: 10.1007/s00376-998-0040-6
    [17] Zhang Yaocun, Qian Yongfu, 1999: Numerical Simulation of the Regional Ocean Circulation in the Coastal Areas of China, ADVANCES IN ATMOSPHERIC SCIENCES, 16, 443-450.  doi: 10.1007/s00376-999-0022-3
    [18] Guo Yufu, Zhao Yan, Wang Jia, 2002: Numerical Simulation of the Relationships between the 1998 Yangtze River Valley Floods and SST Anomalies, ADVANCES IN ATMOSPHERIC SCIENCES, 19, 391-404.  doi: 10.1007/s00376-002-0074-0
    [19] Jiang Weimei, Yu Hongbin, 1994: Study on the Thermal Internal Boundary Layer and Dispersion of Air Pollutant in Coastal Area by Numerical Simulation, ADVANCES IN ATMOSPHERIC SCIENCES, 11, 285-290.  doi: 10.1007/BF02658147
    [20] BI Yun, CHEN Yuejuan, ZHOU Renjun, YI Mingjian, DENG Shumei, 2011: Simulation of the Effect of an Increase in Methane on Air Temperature, ADVANCES IN ATMOSPHERIC SCIENCES, 28, 129-138.  doi: 10.1007/s00376-010-9197-x

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Manuscript History

Manuscript received: 10 July 2002
Manuscript revised: 10 July 2002
通讯作者: 陈斌, bchen63@163.com
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Adaptive Grid Technique Based on the Variational Principle and Its Weight Functions

  • 1. The Research Center for Disastrous Weather, Chinese Academy of Meteorological Sciences, Beijing 100081,The Research Center for Disastrous Weather, Chinese Academy of Meteorological Sciences, Beijing 100081,The Research Center for Disastrous Weather, Chinese Academy of Meteorological Sciences, Beijing 100081,The Research Center for Disastrous Weather, Chinese Academy of Meteorological Sciences, Beijing 100081

Abstract: Two computational cases that have analytic solutions are employed for studying the adaptive grid technique based on the variational principle. The results show that for the computational case of traveling shock waves the weight function, with the 2nd-order derivation terms taken into consideration, can more effectively reduce the error than one with gradient terms. For the case of cyclonic frontogenesis, weight functions only related to the gradient are unable to enhance the computational accuracy. while ones with the wind field and frontogenesis function taken into consideration can more reasonably arrange the grid. Compared with analytic solutions, the adaptive grid technique suggested in this paper can improve computational accuracy and it displays the prominent advantage of saving memory.

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