An alternative leapfrog scheme for surface gravity wave equations

被引：0
作者：
Zhou, WD [1 ]
机构：
[1] Chinese Acad Sci, S China Sea Inst Oceonol, Guangzhou 510301, Peoples R China
来源：
JOURNAL OF ATMOSPHERIC AND OCEANIC TECHNOLOGY | 2002年 / 19卷 / 09期
关键词：
Amplitude modulation - Mathematical models - Oceanography - Surface waves;
D O I：
10.1175/1520-0426(2002)019<1415:AALSFS>2.0.CO;2
中图分类号：
P75 [海洋工程];
学科分类号：
0814 ; 081505 ; 0824 ; 082401 ;
摘要：
An alternative leapfrog scheme using a staggered time grid system is proposed to solve surface gravity wave equations. In addition to the nondissipative second-order accuracy scheme that is inherent in the standard leapfrog scheme, the alternative leapfrog scheme has the advantages that 1) no separation of the solution occurs at the even and odd time levels, 2) it is twice as efficient as the standard leapfrog scheme, and 3) it requires only the one time level storage. Numerical experiments show its numerical properties and computational efficiency. The wave amplitude is not damped and the total energy is conserved. The alternative leapfrog scheme is one of the most efficient schemes. It is applied to the surface gravity wave terms in ocean circulation models, and its usefulness is shown.
引用
收藏
页码：1415 / 1423
页数：9
相关论文
共 19 条
[11]  
OBrien JJ, 1986, NATO ASI SER, P155
[12]   STUDIES IN NUMERICAL NONLINEAR INSTABILITY .1. WHY DO LEAPFROG SCHEMES GO UNSTABLE [J].
SANZSERNA, JM .
SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1985, 6 (04) :923-938
[13]  
Sod GA., 1985, Numerical Methods in Fluid dynamics, DOI 10.1017/CBO9780511753138
[14]   DISPERSION AND GROUP-VELOCITY IN NUMERICAL SCHEMES FOR 3-DIMENSIONAL HYDRODYNAMIC EQUATIONS [J].
SONG, Y ;
TANG, T .
JOURNAL OF COMPUTATIONAL PHYSICS, 1993, 105 (01) :72-82
[15]  
SONG YH, 1994, MON WEATHER REV, V122, P223, DOI 10.1175/1520-0493(1994)122<0223:STZSFT>2.0.CO
[16]  
2
[17]  
Takano K., 1974, 8 U CAL DEP MET
[18]  
ZHOU W, 1999, GAKUTO INT SERIES MA, V12, P271
[19]  
Zhou WD, 2002, ADV ATMOS SCI, V19, P255
12