A three-point sixth-order staggered combined compact difference scheme

被引：18
|
作者：
Chu, PC [1 ]
Fan, CW [1 ]
机构：
[1] USN, Postgrad Sch, Dept Oceanog, Monterey, CA 93943 USA
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2000年 / 32卷 / 3-4期
关键词：
blasius equation; combined compact difference scheme; computational stability; sigma-coordinate ocean model; staggered grid;
D O I：
10.1016/S0895-7177(00)00138-2
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
A three-point, sixth-order, staggered, combined compact difference (SCCD) scheme is proposed for numerical models. The SCCD scheme is a generalisation of the previously proposed combined compact difference (CCD) scheme, and has major improved features such as error and computational (CPU) time reduction especially for odd-order difference equations with odd-number boundary conditions. For nonperiodic boundaries, an additional sixth- or fifth-order boundary condition is proposed. The stability of the SCCD scheme is studied using the eigenvalue analysis. (C) 2000 Elsevier Science Ltd. All rights reserved.
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页码：323 / 340
页数：18
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