Fluid flow problems with high Reynolds number show spurious oscillations in their solution when solved using standard Galerkin finite element methods. These Oscillations can be eradicated using various stabilisation techniques. In this article, we use a local projection stabilisation for a Hybrid High-Order approximation of the Oseen problem. We prove an existence-uniqueness result under a SUPG-like norm. We derive an optimal order error estimate under this norm for equal order polynomial discretisation of velocity and pressure spaces.

翻译：高雷诺数流体流动问题在使用标准伽辽金有限元方法求解时，其解会出现伪振荡。这些振荡可通过多种稳定化技术消除。本文针对Oseen问题的高阶混合逼近，采用局部投影稳定化方法。我们在类似SUPG范数下证明了存在唯一性定理，并在此范数下推导出等阶多项式离散速度空间和压力空间的最优阶误差估计。