Multiple steady states for characteristic initial value problems
Multiple steady states for characteristic initial value problems
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DOI：
10.1016/0168-9274(86)90028-0
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发表时间：
1986-11
影响因子：
2.8
通讯作者：
M. Salas;S. Abarbanel;D. Gottlieb
中科院分区：
文献类型：
--
作者：
M. Salas;S. Abarbanel;D. Gottlieb
在特征边界条件的约束下，考虑了时变、等熵、准一维气体动力学方程和其他模型方程。对时间演化的分析显示了不同的初始数据如何导致不同的稳态，以及如何解决解决方案看似异常的行为。使用时间一致显式算法的数值实验验证了分析的结论。使用具有非常大的时间步长的隐式方案会导致错误的结果。
The time dependent, isentropic, quasi one-dimensional equations of gas dynamics and other model equations are considered under the constraint of characteristic boundary conditions. Analysis of the time evolution shows how different initial data may lead to different steady states and how seemingly anomalous behavior of the solution may be resolved. Numerical experimentation using time consistent explicit algorithms verifies the conclusions of the analysis. The use of implicit schemes with very large time steps leads to erroneous results.