采用流函数-涡量公式的SPH方法对高雷诺数空腔流动的数值计算
Numerical Computation of High Reynolds Number Cavity Flow Using SPH Method with Stream Function and Vorticity Formulation
AI总结：
针对高雷诺数空腔流动数值计算，首次将SPH粒子方法应用于流函数-涡量形式的Navier-Stokes方程，成功复现小涡结构，验证了该方案的有效性。
摘要：
在对高雷诺数空腔流动进行数值计算时，已知通过将Navier-Stokes方程以流函数和涡量作为未知函数来构建公式，可以复现更精细的流动结构。尽管应用有限差分法等方法的数值计算已广为人知，但据我们所知，尚无将SPH方法等基于粒子的方法应用于该问题的实例。因此，我们将SPH方法应用于以流函数和涡量为未知函数构建的Navier-Stokes方程，开展了高雷诺数空腔流动的数值计算。结果证实该方法可复现小尺度涡结构，验证了采用流函数-涡量的该方案的有效性。
英文摘要：
When numerically computing high Reynolds number cavity flow, it is known that by formulating the Navier-Stokes equations using the stream function and vorticity as unknown functions, it is possible to reproduce finer flow structures. Although numerical computations applying methods such as the finite difference method are well known, to the best of our knowledge, there are no examples of applying particle-based methods like the SPH method to this problem. Therefore, we applied the SPH method to the Navier-Stokes equations, formulated with the stream function and vorticity as unknown functions, and conducted numerical computations of high Reynolds number cavity flow. The results confirmed the reproduction of small vortices and demonstrated the effectiveness of the scheme using the stream function and vorticity.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
