fugui372 发表于 2023-12-21 19:49:36

如何减少LES的时间步

边界条件如果不变,那么流场充分发展后理论上也会稳定(湍流?)。


一般的LES模拟,采取足够小的时间步长,计算足够多的时间步,得到稳定结果。
但是在实际计算中,后面误差会越算越大,最终效果较差,而且耗时久。

在考虑稳定边界情况下,采用隐式求解,初始流场使用hybrid初始化。在时间步长取1000s(足够大)的情况下,如果LES能够把残差收敛到较小的值<1e-4,那么是不是就认为得到了稳态流场结果?

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