Practical Investigation of Convective Difference Approximations of Reduced Dispersion
Practical Investigation of Convective Difference Approximations of Reduced Dispersion
复制标题
减少色散的对流差分近似的实际研究
DOI：
10.1063/1.1692465
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发表时间：
1969
影响因子：
4.6
通讯作者：
J. Fromm
中科院分区：
文献类型：
--
作者：
J. Fromm
一个调查常用的近似欧拉形式的方程的理想流体流动。通过线性稳定性分析确定的振幅和相位特性进行比较。重申了一阶近似不可接受的振幅阻尼。对于二阶近似，讨论强调了数值色散效应，并表明熟悉的稳定形式在相对价值上没有显着差异。四阶改进讨论参考进一步的扩展，最大限度地减少色散。给出了近似的保守形式沿着实验确定的关于流体动力学计算中非线性行为的特性。包括与流体动力学不稳定性与数值不稳定性相关的评论。
A survey of commonly used approximations to the Eulerian form of the equations of ideal fluid flow is given. Comparisons are made through amplitude and phase properties as determined by linear stability analysis. The unacceptable amplitude damping of first‐order approximations is reiterated. For second‐order approximations the discussion emphasizes numerical dispersion effects and shows that the familiar stable forms do not differ significantly in relative merit. Fourth‐order improvements are discussed with reference to further extensions which minimize dispersion. Conservative forms of the approximations are given along with experimentally determined properties regarding their nonlinear behavior in fluid‐dynamic calculations. Comments relating to fluid‐dynamic instability versus numerical instability are included.