Application of Higher Order Spatially Accurate Schemes to Rotors in Hover

The accuracy of the calculation of the tip vortex magnitude and the trajectory is very important in rotor calculations, especially in hover where it is the source of the induced velocity that in turn affects the aerodynamic loads. Lower order schemes do not give results of required accuracy due to the excessive diffusive error on practical grids. As a result, the use of spatially accurate schemes, with less diffusion error, is of prime importance in increasing the accuracy of the solution. In this study, two spatially high order schemes (Weighted Essentially Non-Oscillatory 7 th (WENO7) and it 5 th order counterpart (WENO5) are studied. Results are presented for performance characteristics and flow field structures. It is found that WENO7 scheme outperforms the 5 th order scheme, provided an adequately refined grid with modest stretching factors is used.

[1]  Chi-Wang Shu,et al.  High order finite difference and finite volume WENO schemes and discontinuous Galerkin methods for CFD , 2001 .

[2]  Lakshmi N. Sankar,et al.  Forward-Flight Analysis of Slatted Rotors Using Navier-Stokes Methods , 1997 .

[3]  Chi-Wang Shu Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws , 1998 .

[4]  Eleuterio F. Toro,et al.  WENO schemes based on upwind and centred TVD fluxes , 2005 .

[5]  Lakshmi N. Sankar,et al.  APPLICATION OF A SYMMETRIC TOTAL VARIATION DIMINISHING SCHEME TO AERODYNAMICS AND AEROACOUSTICS OF ROTORS , 2000 .

[6]  Chi-Wang Shu TVB uniformly high-order schemes for conservation laws , 1987 .

[7]  Eleuterio F. Toro,et al.  Finite-volume WENO schemes for three-dimensional conservation laws , 2004 .

[8]  Sukumar R. Chakravarthy,et al.  Development of upwind schemes for the Euler equations , 1987 .

[9]  Chi-Wang Shu,et al.  High Order ENO and WENO Schemes for Computational Fluid Dynamics , 1999 .

[10]  Nathan Hariharan High order simulation of unsteady compressible flows over interacting bodies with overset grids , 1995 .

[11]  Roger C. Strawn,et al.  Computational Modeling of Hovering Rotor and Wake Aerodynamics , 2001 .

[12]  Timothy J. Barth,et al.  A Finite-Volume Euler Solver for Computing Rotary-Wing Aerodynamics on Unstructured Meshes , 1993 .

[13]  Neil D. Sandham,et al.  Low-Dissipative High-Order Shock-Capturing Methods Using Characteristic-Based Filters , 1999 .

[14]  J. Baeder,et al.  Flowfield of a Lifting Rotor in Hover: A Navier-Stokes Simulation , 1992 .

[15]  W. Mccroskey,et al.  Navier-Stokes calculations of hovering rotor flowfields , 1988 .

[16]  Peter F. Lorber,et al.  A Comprehensive Hover Test of the Airloads and Airflow of an Extensively Instrumented Model Helicopter Rotor , 1989 .

[17]  Lakshmi N. Sankar,et al.  Higher Order Numerical Simulation of Rotor Flow Field , 1994 .

[18]  Jianxian Qiu,et al.  On the construction, comparison, and local characteristic decomposition for high-Order central WENO schemes , 2002 .

[19]  S. Osher,et al.  Weighted essentially non-oscillatory schemes , 1994 .

[20]  E. Usta,et al.  Application of a symmetric total variation diminishing scheme to aerodynamics of rotors , 2002 .

[21]  Gang Wang,et al.  Prediction of Rotorcraft Noise with a Low-Dispersion Finite Volume Scheme , 2000 .

[22]  Chi-Wang Shu,et al.  Monotonicity Preserving Weighted Essentially Non-oscillatory Schemes with Increasingly High Order of Accuracy , 2000 .

[23]  Chi-Wang Shu Total-variation-diminishing time discretizations , 1988 .

[24]  S. Osher,et al.  Efficient implementation of essentially non-oscillatory shock-capturing schemes,II , 1989 .

[25]  Lakshmi N. Sankar,et al.  An improved Navier-Stokes/full-potential coupled analysis for rotors , 1994 .

[26]  Peter F. Lorber,et al.  Aerodynamic Results of a Pressure-Instrumented Model Rotor Test at the DNW , 1991 .

[27]  J. Baeder,et al.  TURNS - A free-wake Euler/Navier-Stokes numerical method for helicopter rotors , 1993 .

[28]  Lakshmi N. Sankar,et al.  A REVIEW OF COMPUTATIONAL TECHNIQUES FOR ROTOR WAKE MODELING , 2000 .