High-Order Discontinuous Galerkin Method for Hovering Rotor Simulations Based on a Rotating Reference Frame  

作　　者：ZHANG Tao Lü Hongqiang QIN Wanglong CHEN Zhengwu 

机构地区：[1]Department of Aerodynamics,Nanjing University of Aeronautics and Astronautics [2]China Aerodynamics Research and Development Center

出　　处：《Transactions of Nanjing University of Aeronautics and Astronautics》2019年第1期57-70,共14页南京航空航天大学学报（英文版）

基　　金：co-supported by the National High Technology Research and Development Program of China(No.2015AA015303);the National Natural Science Foundation of China(No.11272152);the Aeronautical Science Foundation of China(No.20152752033);the Open Project of Key Laboratory of Aerodynamic Noise Control

摘　　要：An implicit higher ? order discontinuous Galerkin(DG) spatial discretization for the compressible Euler equations in a rotating frame of reference is presented and applied to a rotor in hover using hexahedral grids. Instead of auxiliary methods like grid adaptation,higher ? order simulations(fourth ? and fifth ? order accuracy) are adopted.Rigorous numerical experiments are carefully designed,conducted and analyzed. The results show generally excellent consistence with references and vigorously demonstrate the higher?order DG method's better performance in loading distribution computations and tip vortex capturing, with much fewer degrees of freedom(DoF). Detailed investigations on the outer boundary conditions for hovering rotors are presented as well. A simple but effective speed smooth procedure is developed specially for the DG method. Further results reveal that the rarely used pressure restriction for outlet speed has a considerable advantage over the extensively adopted vertical speed restriction.An implicit higher ? order discontinuous Galerkin(DG) spatial discretization for the compressible Euler equations in a rotating frame of reference is presented and applied to a rotor in hover using hexahedral grids. Instead of auxiliary methods like grid adaptation,higher ? order simulations(fourth ? and fifth ? order accuracy) are adopted.Rigorous numerical experiments are carefully designed,conducted and analyzed. The results show generally excellent consistence with references and vigorously demonstrate the higher?order DG method's better performance in loading distribution computations and tip vortex capturing, with much fewer degrees of freedom(DoF). Detailed investigations on the outer boundary conditions for hovering rotors are presented as well. A simple but effective speed smooth procedure is developed specially for the DG method. Further results reveal that the rarely used pressure restriction for outlet speed has a considerable advantage over the extensively adopted vertical speed restriction.

关 键 词：high-order method(HOM) discontinuous Glaerkin method(DGM) Euler equation hovering rotor simulation tip vortex 

分 类 号：V211.3[航空宇航科学与技术—航空宇航推进理论与工程]