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leendertse qian shui mo shi de shu zhi wen ding xing
Author(s): 
Pages: 430-438
Year: Issue:  5
Journal: Oceanologia et Limnologia Sinica

Keyword:  浅水模式稳定性条件数值稳定性追赶法时间步长对流项误差传播增长因子Hurwitz定理无限增长;
Abstract: <正> 本文应用关于多项式根的Routh-Hurwitz定理,证明了Leendertse浅水模式在忽略对流项的影响时,稳定性条件为ζ+h>0和Δtf<2,并证明了Leendertse关于摩擦项用显式处理时格式完全不稳定的结论是错误的,给出了这种情形下的稳定性条件为0<b<1。文中还应用误差分析的方法,得到了该模式追赶法计算的稳定性条件。
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