On implicit finite-difference simulations of three-dimensional flow
On implicit finite-difference simulations of three-dimensional flow
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DOI：
10.2514/6.1978-10
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发表时间：
1978
期刊：
影响因子：
--
通讯作者：
T. Pulliam;J. Steger
中科院分区：
文献类型：
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作者：
T. Pulliam;J. Steger
描述了一种用于非定常三维流的隐式有限差分程序，能够通过使用通用坐标变换来处理任意几何形状。粘性效应可以选择性地与纳维-斯托克斯方程的“薄层”近似相结合。采用隐式近似因式分解技术，以便空间精度和粘性分辨率所需的小网格尺寸不会施加严格的稳定性限制。从该程序获得的结果包括关于简单物体配置的跨音速无粘性和层流湍流解决方案。与现有理论和实验进行了比较。还讨论了数值精度和三维坐标奇点的影响。
An implicit finite-difference procedure for unsteady three-dimensional flow capable of handling arbitrary geometry through the use of general coordinate transformations is described. Viscous effects are optionally incorporated with a 'thin layer' approximation of the Navier-Stokes equations. An implicit approximate factorization technique is employed so that the small grid sizes required for spatial accuracy and viscous resolution do not impose stringent stability limitations. Results obtained from the program include transonic inviscid and laminar-turbulent solutions about simple body configurations. Comparisons with existing theories and experiments are made. Numerical accuracy and the effect of three-dimensional coordinate singularities are also discussed.