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-斯托克斯方程求解器测试问题。我们选取了使流动具有时间依赖性但可被描述为本质上二维的雷诺数范围。该测试问题要求在长时间间隔内精确解析混沌动力学行为，同时需要使用包含弯曲边界的相对较大计算域，并需评估弯曲边界上解和压力的导数。我们回顾了不同有限元方法在所提议雷诺数范围内的表现。这些测试表明，部分最成熟的方法未能捕捉到正确的流动行为。