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大气科学  2006 

JFNK方法概述及其在大气全隐式非静力模式中的应用方案

DOI: 10.3878/j.issn.1006-9895.2006.05.11

Keywords: JFNK方法,非线性方程,预条件处理器,全隐式,非静力模式

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Abstract:

首先介绍了近年来新发展的非线性方程全隐式数值求解的JFNK方法,及其在地球流体力学方面应用计算实例.可看到,无论在计算精度还是计算效率方面,全隐式数值求解远远超过常规的半隐式计算格式.其次,还讨论了JFNK方法在气象非静力模式中应用方案,并提出了用静力假定和半隐式差分格式来构造预条件处理器,变三维求解为二维求解,简化了方程组求解难度.该方案不仅可用于差分模式,也为用譜方法求解非静力模式提供可能.

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