NUMERICAL SIMULATION OF INCOMPRESSIBLE TWO-BLADE ROTOR FLOWFIELDS

The incompressible e owe eld of a two-blade rotor with untapered, untwisted, aspect-ratio-six blades is computed. The artie cial compressibility formulation of the incompressible-e ow equations is chosen for the numerical solution. Time integration is performed implicitly and space discretization is obtained with an upwind-biased scheme. The numerical method is implemented on a multiblock solver where turbulent e ow can be computed by both algebraic and one-equation models. The e owe eld is computed on a halfrotor cone guration by imposing periodicity conditions in the azimuthal direction. The numerical mesh over the blade consists of three distinct blocks and is wrapped on a cylindrical surface. Turbulence is modeled with a one-equation turbulence model. Comparisons of the computed results with available experimental data are presented.

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

[2]  Ramesh K. Agarwal,et al.  Euler calculations for flowfield of a helicopter rotor in hover , 1986 .

[3]  F. X. Caradonna,et al.  Experimental and Analytical Studies of a Model Helicopter Rotor in Hover , 1980 .

[4]  R. Temam Navier-Stokes Equations , 1977 .

[5]  F. Harlow,et al.  Numerical Calculation of Time‐Dependent Viscous Incompressible Flow of Fluid with Free Surface , 1965 .

[6]  P. Roe Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes , 1997 .

[7]  A. Chorin Numerical solution of the Navier-Stokes equations , 1968 .

[8]  Charles Merkle,et al.  Time-accurate unsteady incompressible flow algorithms based on artificial compressibility , 1987 .

[9]  P. Moin,et al.  Application of a Fractional-Step Method to Incompressible Navier-Stokes Equations , 1984 .

[10]  H. Lomax,et al.  Thin-layer approximation and algebraic model for separated turbulent flows , 1978 .

[11]  Stuart E. Rogers,et al.  Steady and unsteady solutions of the incompressible Navier-Stokes equations , 1991 .

[12]  W. Mccroskey,et al.  Numerical Simulation of Helicopter Multi-Bladed Rotor Flow , 1988 .

[13]  S. Rogers,et al.  An upwind differencing scheme for the time-accurate incompressible Navier-Stokes equations , 1988 .

[14]  Moshe Rosenfeld,et al.  A solution method for the unsteady incompressible Navier-Stokes equations in generalized coordinate systems , 1988 .

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

[16]  R. Maccormack Current status of numerical solutions of the Navier-Stokes equations , 1985 .

[17]  A. Chorin A Numerical Method for Solving Incompressible Viscous Flow Problems , 1997 .

[18]  P. Spalart A One-Equation Turbulence Model for Aerodynamic Flows , 1992 .

[19]  J. Wu Theory for Aerodynamic Force and Moment in Viscous Flows , 1981 .

[20]  John A. Ekaterinaris,et al.  Regular Article: Implicit, High-Resolution, Compact Schemes for Gas Dynamics and Aeroacoustics , 1999 .

[21]  B. E. Wake,et al.  Solution of the unsteady Euler equations for fixed and rotor wing configurations , 1986 .

[22]  Stuart E. Rogers,et al.  Upwind differencing scheme for the time-accurate incompressible Navier-Stokes equations , 1990 .

[23]  Earl P. N. Duque,et al.  Flowfield analysis of modern helicopter rotors in hover by Navier-Stokes method , 1993 .

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

[25]  S. R. Chakravarthy,et al.  Relaxation methods for unfactored implicit upwind schemes , 1984 .

[26]  T. Barth,et al.  A one-equation turbulence transport model for high Reynolds number wall-bounded flows , 1990 .

[27]  Thomas H. Pulliam,et al.  Artificial Dissipation Models for the Euler Equations , 1985 .