用格子Boltzmann方法构建大气动力学模式的初步研究
A PRELIMINARY STUDY ON THE CONSTRUCTION OF ATMOSPHERIC DYNAMIC MODELS WITH LATTICE BOLTZMANN METHOD
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摘要: 文中建立了一个格子Boltzmann模型,经过Chapman-Enskog展开得到的方程组能完整描述正压大气的动力过程,成功地模拟了正压地转适应过程,对Obukhov的经典例子进行了数值检验。结果表明,Obukhov的结果只体现了科氏力和气压梯度力的平衡,而本模型可以精确地描述科氏力、惯性力和气压梯度力三者的完整平衡,与Obukhov线性理论相比,气压变化量的数值相差28%,说明了线性适应理论只在定性方面正确,在定量方面还不准确。数值结果还表明粘性力在地转适应过程中基本不起作用。同时,还模拟了一个更大尺度的适应问题,验证了气压场与风场适应过程取决于尺度大小这一论断数值试验表明,格子Boltzmann方法用于模拟大气运动是可行的,而且因其编程简洁方便,天然具有极好的并行性能,对于建立模拟大气和海洋这样涉及复杂动力热力过程的多相大规模数值模式很有发展潜力。
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关键词:
- 格子Boltzmann方法 /
- 大气动力学模式 /
- 正压适应 /
- Chapman-Enskog展开
Abstract: Lattice Boltzmann Method is a recently developed discrete dynamic modeling method, which uses simple movement of particles and collision regulation to simulate complex behaviors of nonlinear systems and has been applied in many fields of computational fluid dynamics. Owing to its Lagrangian nature and the basic physical features inherited from the Boltzmann equation, this method has many advantages such as high precision, clear physical pictures and easy implementation of microscopic mechanism. -
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Frisch U,Hasslacher B,Pomeau Y.Lattice-gase automata for the Navier-Stokes equation.Phys Rev Lett,1986,56:1505～1508
应纯同.气体输运理论及应用.北京:清华大学出版社,1990.392pp 吴其芬,陈伟芳.高温稀薄气体热化学非平衡流动的DSMC方法.长沙:国防科技大学出版社,1999.11～16 Chapman S,Cowling T G.The Mathematical Theory of Non-uniform Gases.Cambridge:Cambridge Univ.Press,1970.488pp
Bhatnager P L,Gross E P,Krook M.A model for collision processes in gases.I:Small amplitude processes in charged and neutral one component system.Phys Rev,1954,94:511～524
李元香.模拟流体力学的离散运动论模型.数值计算与计算机应用,1995,16(3):233～240 Xiaowen Shan.Simulation of Rayleigh-Bernard convection using a lattice Boltzmann method.Phys Rev E,1997,55:2780～2788
Shiyi Chen,Gary D.Doolen.Lattice Boltzmann method for fluid flows.Annu Rev Fluid Mech.1998,30:329～364
Robert A.A semi-Lagrangian and semi-implicit numerical integration scheme for the primitive meteorological equations.J Meteor Sco Japan,1982,60(1):319～325
陈泽宇,胡隐樵,言穆弘等.半拉格朗日、半隐式欧拉方程组大气数值模式研究.大气科学,2000,24(6):804～820 王军,陈嘉滨.完全非内插半拉格朗日格式在一维Burgers方程及二维浅水波方程上的应用.大气科学,2000,24(4):493～508 叶笃正,李崇银,王必魁.动力气象学.北京:科学出版社,1988,110～111 Feng S D,Mao J Y,Zhang Q.Lattice Boltzmann equation model in the coriolis field.Chinese Physics,2001,10(12):1103～1109
叶笃正,巢纪平.论大气运动的多时态特征——适应、发展和准定常演变.大气科学,1998,22(4):385～398 Rossby C G.On the adjustment of pressure and velocity distribution in certain simple current systems.J Marine Res,1938,1(3):239～263
A M奥布霍夫等.巢纪平,罗四维译,顾震潮校.大气中的适应过程.北京:科学出版社,1956.3～36 Yeh T C.On the formation of quasi-geostrophic motion in the atmosphere.J Meteor Soc Japan,1957,The 75th Anniversary Volume,130～137
曾庆存.扰动特性对大气适应过程的影响和测风资料的使用问题.气象学报,1963,33(1):37～50 吕美仲,彭永清.动力气象学教程.北京:气象出版社,1990.320～324 廖洞贤,王两铭.数值天气预报原理及其应用.北京:气象出版社,1986.91～92 金之雁,王鼎兴.一种适用于有限差分模式的负载平衡区域分解方法.气象学报,2002,60(2):188～193
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