[ 1 ] Bjecknes V.Das Problem der Wette rvorhe isa ge，be trachtet vom Stanpunkt der Mechanik und der Physik[J].Mete or Zeits，1904，21：1-7， link1

[ 2 ] CharneyJ G，Fjitoft R，Von Neuman J.N umerical int egration of the barotropic vorticity equation[J].Tellus，1950，2：237-254. link1

[ 3 ] 陈德辉，薛纪善，杨学胜，等.GRAPES新一代全球/区域多尺度统一数值预报模式总体设计研究[J].科学通报，2008，53（20）：2396-2407. link1

[ 4 ] 薛纪善，陈德辉，沈学顺，等，数值预报系统GRAPES的科学设计与应用[M].北京：科学出版社，2008.

[ 5 ] Haltiner C J.Williams R T.Nume rical Prediction and Dynamic Meteorology[M].2nd ed.New York：John Wiley&Sons Press，1980：1-3

[ 6 ] Kalnay E.Atmospheric Modeling，Data A similation and Predict a-bility[M].Cambridge：Cambridge University Press，2003：4-12.

[ 7 ] Cote J，Gravel S，Methot A，et al.The operational CMC-MRBGlobal Environme nt al Multiscale（GEM）model.Part I：Desi gn considerations and fomulation[J].Monthly Weat her Review1998，126：1373-1395. link1

[ 8 ] Cote J，Gravel S，Methot A，et al.The operational CMC-MRB global envi ronmental multiscale (GEM) model. Part Il: Results[J]. Monthly Weather Review, 1998, 126: 1397-1418 link1

[ 9 ] Cullen MJP. The unified forecast/climate model [J]. Meteoro-logical Magazine, 1993, 122: 81-94. link1

[10] Bubnova R, Gello G, Bemard P, et al. Integration of the fully elastic equat ions cast in hydrostatic pre sure terain-following co-ordi nate in the fra me work of the ARPEGE/ALADIN NWP sysem[J]. Monthly Weather Review, 1995 , 123 : 515-535. link1

[11] Staniforth A, Cote JJ. Semi-lagrangi an inte gration schemes for atmospheric models review [J. Monthly Weather Review,1991,119: 2206 -2223.

[12] Gal-Chen T, Sommerville R CJ. On the use of a coordinatetransformation for the solution of the NaviesStokes equations[J]. Journal of Computing Physics, 1975, 17 : 209-228. link1

[13] Robet A. A semi lagrangian and se mi implic it num erical integra -tion scheme for the primitive mete orological equations[J]. Jour-nal of the Meteorological Society of Japan, 1982 , 60: 319-325. link1

[14] Hortal M. A spects of the numeric of the ECMWF model[C]//Proceedings of ECMWWF Workshop on Recent De velopment in Nume rical Methods for Atmospheric Modell ing. U. K.: Shinfield Park, 1999:127-143.

[15] Qian J H, Semazzi F H M, Scroggs JS. A global nonhydrostatic semi-agrangian atmospheric model with ongraphy [J]. Monthly Weather Review, 1998, 126: 747-770 link1

[16] Arakawa A, Lamb V R. Computational design of the basic dy-namical processes of the UCLA general circulation model [M1//Methods of Com put ational Phy sics, General Circ ulation Models of the Atmosphere. New York: Academic Pres, 1977: 174 -265.

[17] Lorenz E N. The predicta bility of a flow which possesses many scales of motion[J]. Tellus, 1969, 21 : 289-307. link1

[18] ChameyJG, Phillips N A. Numerical inte gration of the quasi-geostro phic equations for ba rot ronic and simple ba roc linic flows[J]. Journal of Meteorology, 1953, 10: 71-99. link1

[19] Arakawa A. Konor C S. Vertical diffe rencing of the primitive equation hased on the Cha mey-P´ hillips grid in Hybrid o verti-cal coordinates[J]. Monthly Weather Review, 1996 ,124:511-528 link1

[20] Cullen M JP. The use of dynamical knowledge of the atmosphere to improve NWWP modelsC//Proceedings of ECM WF Work-shop on Recent Development in Numerical Methods for Atmos-pheric Modelli ng. U. K. : Shinfield Park, 1999: 418-441.

[21] 杨晓娟，钱永甫. P-σ坐标系数值模式中气压梯度力的递推算法[J].大气科学，2003，27（2）：171-181. link1

[22] 钱永甫，王云峰，数值模式中气压梯度力的算法试验[J]、气象报，1991，49（3）：538-547. link1

[23] 周天军，钱永甫，地形区两种典型气压梯度力计算方法的比较[J].应用气象学报，1996，7（3）：377-380. link1

[24] 胡江林，王盘兴，地形跟随坐标下的中尺度模式气压梯度力计算误差分析及其改进方案[J].大气科，2007，31（1）：110-118. link1

[25] Mesinger F.A blocking technique for representation of mountains in atmosphe nic models[J].Rivista di Meteo rologi a Aerona utica，1984,44: 195 -202. link1

[26] Schar C, Leuenberger D, Fuhrer 0, et al. A New terrai n-following vertical coordinate fomulation for atmospheric prediction models[J]. Monthly Weather Review, 2002, 130: 2459-2480. link1

[27] Kageyama A, Sato T. The "Yin-Yang grid": an ove rset grid in spherical geometry[J]. Geoc he mistry, Geophysics, Geosystems,2004, 5:1-15. link1

[28] Peng X, Xiao F, Takahashi K. Consevative constra int for a quasi-uniform overset grid on phere [J]. Quarte ry Journal of t he Royal Meteorological Sociely, 2006, 132: 979-996 link1

[29] Li Xingliang，Chen Dehui，Peng Xindong，et al.Imple me nt ation of the se mi-Lagrangian advection scheme on a quasi tinifom over-set grid on a sphere[J].Advances in A tmospheric Sciences2006，23（5）：792-801. link1

[30] 薛纪善，庄世字，朱国富，等，新一代全球/区域多尺度通用变分同化系统研究[J].科学通报，2008，53（20）：2407-2417.

[31] Shukla J.Seamless prediction of wea ther and climate：a ne w par-adigm for modeling and prediction researh[C]//U.S.National Dce anic and Atmospherie Administration"Cli mate Test Bed Joint Semi nar Series"，NCEP.Maryland：Camp Springs，2009：10