非线性计算不稳定的例子和分析  

Some Examples and Analysis for Nonlinear Computation Stability

作　　者：张雅琴[1] 崔永军[1] 

机构地区：[1]华北电力大学基础科学部,北京102206

出　　处：《华北电力大学学报（自然科学版）》1999年第3期79-83,共5页Journal of North China Electric Power University：Natural Science Edition

摘　　要：非线性计算稳定性是计算数学、计算物理（计算力学）中的一个重要问题。本文以一维非线性对流方程为模型，给出瞬时（半离散）差分格式和leap－frog型差分格式的非线性计算不稳定的若干例子，用定性分析和数值实验两种方法对比地进行讨论、分析，总结出若干易出现非线性计算不稳定的情况。The stability of nonlinear computation is important in Mathematics and computing Physics (Computing Mechanic). In this paped, by using a one-dimensional nonlinear convection equation asa model, with some numerical examples of semi-difference and leap-frog full difference schemes, theanalysis for stability of nonlinear computation is carried out qualitatively for several nonlinear differenceschemes. The nature of nonlinear compuation instability is discussed.

关 键 词：传热 传质 非线性 计算不稳定 数值模拟 

分 类 号：TK124[动力工程及工程热物理—工程热物理]