无网格算法在多段翼型流动计算中的应用  

Application of the Gridless Method for Multi-Element Airfoil Flow Calculation

作　　者：王刚[1] 孙迎丹[1] 叶正寅[1] 

机构地区：[1]西北工业大学,西安710072

出　　处：《应用力学学报》2004年第3期63-66,共4页Chinese Journal of Applied Mechanics

基　　金：西北工业大学博士创新基金 (No .2 0 0 2 14 )

摘　　要：研究了一种求解欧拉方程的无网格算法 ,发展出了一套布点及点云自动生成的方法 ;在点云离散的基础上 ,采用最小二乘法求解矛盾方程的方法来求取空间导数 ,进而获得数值通量 ;采用四步龙格 -库塔方法进行时间推进 ,并引入当地时间步长和残值光顺等加速收敛措施。通过对NA CA0 0 12翼型的跨音速流动和多段翼型复杂绕流的数值模拟 。In this paper, a gridless method for solving the Euler equations is investigated. A modified advancing front method is developed to generate point and contribute clouds of points automatically. The spatial derivatives, which are used to estimate the inviscid flux, are directly approximated by using least square method to solve the inconsistent equations. An explicit multistage Runge-Kutta algorithm is used to advance the flow equations in time. In order to accelerate the solution to steady state, local time stepping technique and residual averaging are employed. Some standard test cases that contained NACA0012 airfoil in transonic flow and multi-element airfoil complex flow are computed and are compared with experimental data to demonstrate the accuracy and practicability of the method.

关 键 词：无网格算法 点云 欧拉方程 多段翼型 

分 类 号：V211.4[航空宇航科学与技术—航空宇航推进理论与工程]