Stabilised finite element discretisations for the coupling of transient incompressible fluid flow and transport

本文研究了瞬态不可压缩流体流动与输运耦合问题的有限元方法。将使用不同的时间离散。由于流动和输运问题通常以对流为主，因此将应用空间中的稳定有限元离散。我们将从理论上和数值上研究不同的时间积分方案和不同的稳定技术对精度和稳定性的影响。特别令人感兴趣的是时间离散和空间稳定之间的相互作用。我们将进行数值研究，以获得如何精确选择稳定参数的见解。

We consider finite element methods of coupled problems of transient incompressible fluid flow and transport. Different time discretisations will be used. Since flow and transport problems are generally convection-dominant, stabilised finite element discretisations in space will be applied. We will study theoretically and numerically the influence of different time integration schemes and different stabilisation techniques on accuracy and stability. Of particular interest is the interaction between time discretisation and spatial stabilisation. We will carry out numerical studies to obtain an insight how to choose the stabilisation parameters precisely.