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

页码：1415 / 1423

页数：9

共 19 条

[1]

ANDERSON DA, 1997, COMPUTATIONAL FLUID

[2]

ASSELIN R, 1972, MON WEA REV, V100, P187

[3]

Blumberg A.F., 1987, 3 DIMENSIONAL COASTA, V4, P208

[4]

Bryan K., 1997, Journal of Computational Physics, V135, P154, DOI [10.1016/0021-9991(69)90004-7, 10.1006/jcph.1997.5699]

[5] Partial differential equations of mathematical physics [J].

Courant, R ;

Friedrichs, K ;

Lewy, H .

MATHEMATISCHE ANNALEN, 1928, 100 :32-74

[6]

HAIDVOGEL DB, 1999, NUMERICAL OCEAN CIRC, V2

[7]

KILLWORTH PD, 1991, J PHYS OCEANOGR, V21, P1333, DOI 10.1175/1520-0485(1991)021<1333:TDOAFS>2.0.CO

[8]

[9]

LILLY DK, 1965, MON WEATHER REV, V93, P11, DOI DOI 10.1175/1520-0493(1965)093<0011:0TCS0N>2.3.C0

[10]

← 1 2 →