强迫耗散非线性发展方程准完全平方守恒格式的构造(英文)

被引：1

作者：

林万涛

季仲贞

王斌

机构：

来源：

Advances in Atmospheric Sciences | 2001年 / 04期

关键词：

强迫耗散非线性发展方程; 显式准完全平方守恒差分格式; 计算稳定性;

D O I：

暂无

中图分类号：

P433 [大气动力学];

学科分类号：

0706 ; 070601 ;

摘要：

从描述大气和海洋运动的强迫耗散非线性发展方程出发，对强迫耗散非线性大气和海洋方程组显式差分格式的计算稳定性进行了分析，构造了一类强迫耗散性发展方程的显式准完全平方守恒差分格式，理论分析和数值试验证明，这类显式准完全平方守恒差分格式是计算稳定的．值得推广应用。

引用

页码：604 / 612

页数：9

共 12 条

[1]

Computational stability of the forced dissipative nonlinear atmospheric equations[J]. LI Jianping and CHOU Jifan LASG , Institute of Atmospheric Physics , Chinese Academy of Sciences , Beijing 100080, China;Department of Atmospheric Sciences , Lanzhou University , Lanzhou 730000, China;Beijing Meteorological College, Beijing 100081, China.Chinese Science Bulletin. 1999(10)

[2] FURTHER STUDY ON THE PROPERTIES OF OPERATORS OF ATMOSPHERIC EQUATIONS AND THE EXISTENCE OF ATTRACTOR [J].

李建平 ;

丑纪范 .

Acta Meteorologica Sinica, 1997, (02) :216-223

[3] THE EFFECTS OF EXTERNAL FORCING,DISSIPATION AND NONLINEARITY ON THE SOLUTIONS OF ATMOSPHERIC EQUATIONS [J].

李建平 ;

丑纪范 .

ActaMeteorologicaSinica, 1997, (01) :57-65

[4]

The property of solutions for the equations of large-scale atmosphere with the non-stationary external forcings[J]. 李建平,丑纪范.Chinese Science Bulletin. 1996(07)

[5]

Square conservation systems and Hamiltonian systems[J]. 王斌,曾庆存,季仲贞.Science in China,Ser.A. 1995(10)

[6]

The Harmonious Dissipative Operators and the Completely Square Conservative Difference Scheme in an Explicit Way[J]. 王斌,季仲贞.Science in China,Ser.B. 1994(04)

[7] 再论发展方程差分格式的构造和应用 [J].

季仲贞 ;

王斌 .

大气科学, 1991, (02) :1-10

[8]

THE CONSTRUCTION AND PRELIMINARY TEST OF THE EXPLICIT COMPLETE SQUARE CON SERVATIVE DIFFEREN CE SCHEMES[J]. 王斌,季仲贞.Chinese Science Bulletin. 1990(20)

[9]

SOME PROPERTIES OF THE SOLUTIONS OF THE LARGE-SCALE EQUATIONS OF ATMOSPHERE——NONLINEAR ADJUSTMENT PROCESS BY EXTERIOR STEADY SOURCES[J]. 汪守宏,黄建平,丑纪范.Science in China,Ser.B. 1990(04)

[10] AN EXAMPLE OF NON-LINEAR COMPUTATIONAL INSTABILITY FOR TWO-DIMENSIONAL "LILLY SCHEME" [J].

季仲贞 .

A Monthly Journal of Science, 1981, (02) :153-156

← 1 2 →