论文标题
在经认证的VMS-Smagorinsky认证的情况下，LPS压力稳定降低了基础模型
On a certified VMS-Smagorinsky Reduced Basis model with LPS pressure stabilisation
论文作者
论文摘要
在这项工作中，我们介绍了认证的减少基础VMS-Smagorinsky湍流模型，其局部投影稳定（LPS）在压力上。我们证明了它对泰勒 - 霍德速度压力离散的稳定性。我们基于非线性PDE的非sinkular分支的近似值理论，通过贪婪的算法构建了快照选择的\ textit {a后验}误差估计器。经验插值法（EIM）用于非线性项的近似值。我们提出了一些数值测试，其中我们就使用压力超级成员的方法显示了通过LPS压力稳定的减少基础问题计算的加速。
In this work we introduce a certified Reduced Basis VMS-Smagorinsky turbulence model with local projection stabilisation (LPS) on the pressure. We prove its stability for Taylor-Hood discretisations of velocity-pressure. We construct an \textit{a posteriori} error estimator for the snapshot selection through a Greedy algorithm, based on the Brezzi-Rappaz-Raviart theory of approximation of non-singular branches of non-linear PDEs. The Empirical Interpolation Method (EIM) is used for the approximation of the non-linear terms. We present some numerical tests in which we show an improved speedup on the computation of the reduced basis problem with the LPS pressure stabilisation, with respect to the method of using pressure supremizers.
