改进节点积分的无单元Galerkin法及其在流动问题中的应用
An improved nodal integration Element-Free Galerkin method and its application in flow problems
-
摘要: 无单元Galerkin法需要在背景网格上积分,计算量大,且在求解对流占优问题时会出现非物理的数值伪振荡现象。为此,基于局部Taylor展开思想,采用节点处的局部Taylor展开计算积分,建立了局部Taylor展开积分无单元Galerkin法。该方法同时解决了标准的无单元Galerkin法计算量大和对流占优时会出现数值伪振荡的问题。一维定常对流扩散方程和二维Burgers方程的求解说明了该方法的有效性,且计算效率远高于无单元Galerkin法。Abstract: The farfield noise of two dimensional multi-element high lift device L1T2 slat model was calculated using commercial CFD software FLUENT. LES model was used in flow field analysis to provide noise source data, while the FW-H method was used to calculate the far-field noise levels. To study the effects of gap and overlap on both maximum lift coefficient and noise levels, a total of 24 different combinations of gap and overlap were analyzed, and two response surface models were built from the results. The response surface models indicate that it is possible to find reasonable combinations of gap and overlap to achieve a balance between aerodynamic performance and noise characteristics.