无粘流
数学
耗散系统
特征向量
守恒定律
数学分析
矢量场
非线性系统
焊剂(冶金)
有限差分
流量(数学)
应用数学
经典力学
物理
几何学
材料科学
冶金
量子力学
作者
J. L. Steger,R. F. Warming
标识
DOI:10.1016/0021-9991(81)90210-2
摘要
The conservation-law form of the inviscid gasdynamic equations has the remarkable property that the nonlinear flux vectors are homogeneous functions of degree one. This property readily permits the splitting of flux vectors into subvectors by similarity transformations so that each subvector has associated with it a specified eigenvalue spectrum. As a consequence of flux vector splitting, new explicit and implicit dissipative finite-difference schemes are developed for first-order hyperbolic systems of equations. Appropriate one-sided spatial differences for each split flux vector are used throughout the computational field even if the flow is locally subsonic. The results of some preliminary numerical computations are included.
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