FLUX VECTOR SPLITTING OF THE INVISCID GAS-DYNAMIC EQUATIONS WITH APPLICATION TO FINITE-DIFFERENCE METHODS
FLUX VECTOR SPLITTING OF THE INVISCID GAS-DYNAMIC EQUATIONS WITH APPLICATION TO FINITE-DIFFERENCE METHODS
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DOI：
10.1016/0021-9991(81)90210-2
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发表时间：
1981-01-01
影响因子：
4.1
通讯作者：
WARMING, RF
中科院分区：
文献类型：
--
作者：
STEGER, JL;WARMING, RF
无粘气体动力学方程的守恒律形式具有非线性通量矢量是一次齐次函数的显著性质。这个属性很容易允许分裂的通量向量到子向量的相似性变换，使每个子向量与它相关联的一个指定的本征值谱。由于通量矢量分裂，新的显式和隐式耗散有限差分格式的一阶双曲型方程组的发展。即使流动是局部亚音速的，每个分裂通量矢量的适当的单侧空间差也用于整个计算场。一些初步的数值计算的结果包括在内。
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.