Numerical simulation on the inviscid flowfield of transonic hovering rotor using implicit method and WENO schemes
Received:November 04, 2008  
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DOI:10.7511/jslx20104006
KeyWord:rotor  hover  Euler equations  WENO schemes  Roe scheme  implicit scheme
           
AuthorInstitution
徐丽 上海大学 上海市应用数学和力学研究所,上海;上海电力学院 数理系,上海
杨爱明 复旦大学 力学与工程科学系,上海
丁珏 上海大学 上海市应用数学和力学研究所,上海
翁培奋 上海大学 上海市应用数学和力学研究所,上海
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Abstract:
      The most complex flows in aviation are probably those that occur over rotorcraft. To search one numerical method to exactly predict the rotor wake is an unsolved problem. A high-order upwind scheme is developed to compute the inviscid flow field of a helicopter rotor in hover using implicit finite volume method. Roe Riemann solver which is a high-resolution scheme and a flux-difference splitting scheme is adopted to compute inviscid flux. For better accuracy, 5th order weighted essentially non-oscillatory (WENO) schemes are adopted to interpolate higher order left and right states across a cell interface, and compared with MUSCL schemes. To improve the efficiency and convergence to steady state, the LU-SGS implicit algorithm is used. The performance of the schemes is investigated in a transonic inviscid flow around hovering rotor. The results reveal that WENO-Roe has the great capabilities to capture shock with higher resolution than MUSCL-Roe, which shows the advantage of increasing precision, and the implicit LU-SGS scheme is more efficient than 5th order Runge-Kutta method.