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

被引：19

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.

引用

页码：323 / 340

页数：18

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