An enriched hybrid high-order method is designed for the Stokes equations of fluid flow and is fully applicable to generic curved meshes. Minimal regularity requirements of the enrichment spaces are given, and an abstract error analysis of the scheme is provided. The method achieves consistency in the enrichment space and is proven to converge optimally in energy error. The scheme is applied to 2D flow around circular cylinders, for which the local behaviour of the velocity and pressure fields are known. By enriching the local spaces with these solutions, superior numerical results near the submerged cylinders are achieved.

翻译：针对流体流动的Stokes方程，设计了一种富集混合高阶方法，该方法完全适用于一般弯曲网格。给出了富集空间的最小正则性要求，并提供了该方案的抽象误差分析。该方法在富集空间中实现一致性，并证明在能量误差方面达到最优收敛。将该方案应用于二维圆柱绕流问题，其中速度场和压力场的局部行为已知。通过利用这些解对局部空间进行富集，在浸没圆柱附近获得了优异的数值结果。