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A numerical investigation of explicit pressure-correction projection methods for incompressible flows

机译：不可压缩流显式压力校正投影方法的数值研究

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A numerical investigation is performed on an explicit pressure-correction projection method. The schemes are fully explicit in time in the framework of the finite difference method. They are tested on benchmark cases of a lid-driven cavity flow, flow past a cylinder and flow over a backward facing step. Comparisons of the numerical simulations have been made with benchmark experimental and DNS data. Based on the results obtained, several numerical issues are discussed; namely, the handling of the pressure term, time discretization and spatial discretization of convective and diffusive terms. The fully explicit projection method is also compared with the fully implicit SIMPLE algorithm. It is observed that the SIMPLE algorithm performs better (faster and produces more accurate results) for laminar flows while the projection method works better for unsteady turbulent flows. Although there have been much research performed using the higher-order pressure incremental projection method, this research work is n...
机译：对显式压力校正投影方法进行了数值研究。这些方案在有限差分法的框架内在时间上是完全明确的。他们在盖驱动腔流动，流过圆柱体以及流过后向台阶的基准情况下进行了测试。数值模拟与基准实验和DNS数据进行了比较。根据获得的结果，讨论了几个数值问题。即压力项的处理，对流项和扩散项的时间离散和空间离散。还将完全显式的投影方法与完全隐式的SIMPLE算法进行了比较。可以看出，SIMPLE算法对于层流性能更好（更快，产生的结果更准确），而投影方法对不稳定的湍流效果更好。尽管使用高阶压力增量投影法进行了很多研究，但这项研究工作还没有完成。

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