%0 Journal Article %T Further discussion on the construction and application of difference scheme of evolution equations
再论发展方程差分格式的构造和应用 %A Ji Zhongzhen %A Wang Bin %A
季仲贞 %A 王斌 %J 大气科学 %D 1991 %I %X In this paper a larger class of atmospheric and oceanic equations is reduced to a kind of evolution equation , and some constant time- step difference schemes, which are explicit and complete square conservative , are constructed . It is proved that the schemes have characteristics of energy conservation , " generalized energy conservation" and " mean scale conservation " in some conditions. It shows that these schemes have better computational stabilities and time- saving properties. The close relation between the explicit and the implicit complete square conservative difference schemes is compared. In the end , some numerical tests have been done by using Rossby-Haurwitz wave with 4 waves and the results are satisfactory. %K Evolution equation %K Tomplete square conservation %K Tomplete energy conservation %K Mean scale conservation %K Explicit difference scheme
发展方程 %K 完全平方守恒 %K 完全能量守恒 %K 平均尺度守恒 %K 显式差分格式 %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=E62459D214FD64A3C8082E4ED1ABABED5711027BBBDDD35B&cid=28A2F569B2458C17&jid=46874A5A102033D774D00D819E91CD68&aid=0DDD9D43C39FEB2B&yid=116CB34717B0B183&vid=23CCDDCD68FFCC2F&iid=0B39A22176CE99FB&sid=CA4FD0336C81A37A&eid=F3090AE9B60B7ED1&journal_id=1006-9895&journal_name=大气科学&referenced_num=39&reference_num=5