浸没边界方法在翼型绕流大涡模拟中的应用研究

Study on application of immersed boundary method to the large-eddy simulation of airfoil flow

本文首先给出了有限体积数值离散中,采用双线性速度插值的直接强迫力浸没边界方法的数值实现公式推导;采用该方法对翼型绕流进行了大涡数值模拟的初步研究,大涡模拟的亚格子应力采用基于Germano等式和尺度相似假设的SDP动力模式,模拟结果与文献的DNS结果一致,表明SDP模式于本文的浸没边界方法的结合可以实现对复杂流动的精确模拟。

First a formulation of immersed boundary method which uses a direct force to simulate the effects of solid boundaries on the flow is demonstrated in details.This method uses a bi-linear velocity interpolation and is embedded in a finite-volume solver.Then a preliminary study on large eddy simulation of the turbulent flow around an airfoil using the immersed boundary is presented,including the LES subgrid-scale stress modeling by SDP method based on the Germano identity and scale-similarity hypothesis.Simulation results agrees well with the published DNS data,which shows that the combination of SDP modeling with immersed boundary method produces an efficient and accurate solution of complicated turbulent flows.