We propose a test problem for Navier-Stokes solvers based on the flow around a cylinder. We choose a range of Reynolds numbers for which the flow is time-dependent but can be characterized as essentially two-dimensional. The test problem requires accurate resolution of chaotic dynamics over a long time interval. It also requires the use of a relatively large computational domain, part of which is curved, and it requires evaluation of derivatives of the solution and pressure on the curved boundary. We review the performance of different finite element methods for the proposed range of Reynolds numbers. These tests indicate that some of the most established methods do not capture the correct behavior.

翻译：我们提出一个基于圆柱绕流的纳维-斯托克斯求解器测试问题。选取的雷诺数范围使流动具有时间依赖性，但本质上可表征为二维流动。该测试问题要求长时间精确解析混沌动力学特征，同时需采用包含弯曲边界的相对较大计算域，并需对弯曲边界上的解及压力导数进行评估。我们综述了不同有限元方法在所提议雷诺数范围内的表现。测试结果表明，部分最成熟的方法无法捕捉正确的流动行为。