Simple multiple reference frame for high-order solution of hovering rotors with and without ground effect

Abstract In the present work, the aerodynamic performance of the Caradonna and Tung and S-76 in hover were investigated using a simplified concept of multiple reference frame (MRF) technique in the context of high-order Monotone Upstream Centred Scheme for Conservation Laws (MUSCL) cell-centred finite volume method. In the present methodology, the frame of reference is defined at the solver level by a simple user input avoiding the use of mesh interface to handle the intersections between frames of reference. The calculations were made for both out-of-ground-effect (OGE) and in-ground-effect (IGE) cases and compared with experimental data in terms of pressure distribution, tip-vortex trajectory, vorticity contours and integrated thrust and torque. The predictions were obtained for several ground distances and collective pitch angle at tip Mach number of 0.6 and 0.892.

[1]  Ewald Krämer,et al.  CFD Calculation of a Helicopter Rotor Hovering in Ground Effect , 2013 .

[2]  B. V. Leer,et al.  Towards the ultimate conservative difference scheme V. A second-order sequel to Godunov's method , 1979 .

[3]  G. Barakos,et al.  Sliding mesh algorithm for CFD analysis of helicopter rotor–fuselage aerodynamics , 2008 .

[4]  Matjaž Hriberšek,et al.  The influence of rotating domain size in a rotating frame of reference approach for simulation of rotating impeller in a mixing vessel , 2007 .

[5]  Di Zhou,et al.  A rotating reference frame‐based lattice Boltzmann flux solver for simulation of turbomachinery flows , 2017 .

[6]  B. Wake,et al.  Solutions of the Navier-Stokes Equations for the Flow About a Rotor Blade , 1989 .

[7]  Paresh Parikh,et al.  Generation of three-dimensional unstructured grids by the advancing-front method , 1988 .

[8]  M. Gennaretti,et al.  Numerical-experimental correlation of hovering rotor aerodynamics in ground effect , 2020 .

[9]  Markus Raffel,et al.  Review of measurement techniques for unsteady helicopter rotor flows , 2019, Progress in Aerospace Sciences.

[10]  Panagiotis Tsoutsanis,et al.  Assessment of high-order finite volume methods on unstructured meshes for RANS solutions of aeronautical configurations , 2017 .

[11]  Peter Stansby,et al.  A simple sliding‐mesh interface procedure and its application to the CFD simulation of a tidal‐stream turbine , 2014 .

[12]  Leo L. Veldhuis,et al.  Breakdown of aerodynamic interactions for the lateral rotors on a compound helicopter , 2020, Aerospace Science and Technology.

[13]  Jennifer Abras,et al.  Impact of High-fidelity Simulation Variations on Wake Breakdown of a Rotor in Hover , 2020 .

[14]  D. T. Balch,et al.  Experimental study of main rotor tip geometry and tail rotor interactions in hover. Volume 2: Run log and tabulated data , 1985 .

[15]  Dimitris Drikakis,et al.  A high-order finite-volume method for atmospheric flows on unstructured grids , 2016 .

[16]  Claus-Dieter Munz,et al.  A contribution to the construction of diffusion fluxes for finite volume and discontinuous Galerkin schemes , 2007, J. Comput. Phys..

[17]  Jennifer Abras,et al.  Wake Breakdown of High-fidelity Simulations of a Rotor in Hover , 2019, AIAA Scitech 2019 Forum.

[18]  Panagiotis Tsoutsanis,et al.  Azure: an advanced CFD software suite based on high-resolution and high-order methods , 2015 .

[19]  Chunhua Sheng,et al.  A preconditioned method for rotating flows at arbitrary mach number , 2011 .

[20]  D. Kwak,et al.  LU-SGS implicit algorithm for three-dimensional incompressible Navier-Stokes equations with source term , 1989 .

[21]  James L. Tangler,et al.  A Prescribed Wake Lifting Surface Hover Performance Analysis , 1977 .

[22]  Lakhdar Remaki,et al.  New Simplified Algorithm for the Multiple Rotating Frame Approach in Computational Fluid Dynamics , 2017 .

[23]  Lakshmi N. Sankar,et al.  High-Order Essentially Nonoscillatory Schemes for Rotary-Wing Wake Computations , 2004 .

[24]  Chen Ming,et al.  CFD Simulation Methods for Rotor Hovering Based on N-S Equation , 2019 .

[25]  James D. Baeder,et al.  Effect of Tip Geometry on a Hovering Rotor in Ground Effect: A Computational Study , 2013 .

[26]  Lakshmi N. Sankar,et al.  First-Principles Based High Order Methodologies For Rotorcraft Flowfield Studies , 1999 .

[27]  Panagiotis Tsoutsanis,et al.  Low-Mach number treatment for Finite-Volume schemes on unstructured meshes , 2018, Appl. Math. Comput..

[28]  W. J. Mccroskey Some rotorcraft applications of computational fluid dynamics , 1988 .

[29]  M. Baris Dogruoz,et al.  Validation of an advanced fan model with multiple reference frame approach , 2010, 2010 12th IEEE Intersociety Conference on Thermal and Thermomechanical Phenomena in Electronic Systems.

[30]  B. V. Leer,et al.  Towards the ultimate conservative difference scheme. II. Monotonicity and conservation combined in a second-order scheme , 1974 .

[31]  Panagiotis Tsoutsanis,et al.  Improvement of the computational performance of a parallel unstructured WENO finite volume CFD code for Implicit Large Eddy Simulation , 2018, Computers & Fluids.

[32]  Bram van Leer,et al.  A historical oversight: Vladimir P. Kolgan and his high-resolution scheme , 2011, J. Comput. Phys..

[33]  F. Hamba,et al.  Modeling the Energy Flux Enhanced in Rotating Inhomogeneous Turbulence , 2018, Springer Proceedings in Physics.

[34]  Panagiotis Tsoutsanis,et al.  High-Order Methods for Hypersonic Shock Wave Turbulent Boundary Layer Interaction Flow , 2015 .

[35]  Panagiotis Tsoutsanis,et al.  Hovering rotor solutions by high-order methods on unstructured grids , 2020 .

[36]  Hrvoje Jasak,et al.  OpenFOAM Turbo Tools: From General Purpose CFD to Turbomachinery Simulations , 2011 .

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

[38]  Clinton P. T. Groth,et al.  High-order solution-adaptive central essentially non-oscillatory (CENO) method for viscous flows , 2011, J. Comput. Phys..

[39]  R. B. Green,et al.  Flow visualisation of the helicopter brown-out phenomenon , 2009, The Aeronautical Journal (1968).

[40]  Panagiotis Tsoutsanis,et al.  WENO schemes on unstructured meshes using a relaxed a posteriori MOOD limiting approach , 2020 .

[41]  B. V. Leer,et al.  Towards the ultimate conservative difference scheme. IV. A new approach to numerical convection , 1977 .

[42]  Michel Costes,et al.  Rotorcraft simulations: a challenge for CFD , 2012 .

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

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

[45]  Qijun Zhao,et al.  Rotor aerodynamic shape design for improving performance of an unmanned helicopter , 2019, Aerospace Science and Technology.

[47]  V. P. Kolgan,et al.  Application of the principle of minimizing the derivative to the construction of finite-difference schemes for computing discontinuous solutions of gas dynamics , 2011, J. Comput. Phys..

[48]  Luis Ramírez,et al.  New high-resolution-preserving sliding mesh techniques for higher-order finite volume schemes , 2015 .

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

[50]  Vinh-Tan Nguyen,et al.  Aerodynamic simulations of offshore floating wind turbine in platform-induced pitching motion , 2017 .

[51]  P. Spalart,et al.  On the sensitization of turbulence models to rotation and curvature , 1997 .

[52]  Panagiotis Tsoutsanis,et al.  High-order schemes on mixed-element unstructured grids for aerodynamic flows , 2012 .

[53]  Vladimir A. Titarev,et al.  WENO schemes on arbitrary mixed-element unstructured meshes in three space dimensions , 2011, J. Comput. Phys..

[54]  E. Toro,et al.  Restoration of the contact surface in the HLL-Riemann solver , 1994 .

[55]  Sanjay M. Mahajani,et al.  CFD modeling of pilot-scale pump-mixer: Single-phase head and power characteristics , 2007 .

[56]  Ning Qin,et al.  BILU implicit multiblock Euler/Navier–Stokes simulation for rotor tip vortex and wake convection , 2007 .

[57]  Panagiotis Tsoutsanis,et al.  Extended bounds limiter for high-order finite-volume schemes on unstructured meshes , 2018, J. Comput. Phys..

[58]  Roger C. Strawn,et al.  CFD Simulations of Tiltrotor Configurations in Hover , 2005 .

[59]  Hiroaki Nishikawa Robust and accurate viscous discretization via upwind scheme – I: Basic principle , 2011 .

[60]  Nathan S. Hariharan An Overview of Wake-Breakdown in High-Fidelity Simulations of Rotor in Hover , 2020 .

[61]  Timothy J. Barth,et al.  The design and application of upwind schemes on unstructured meshes , 1989 .

[62]  Mark Potsdam,et al.  Tip Vortex Field Resolution Using an Adaptive Dual-Mesh Computational Paradigm , 2011 .

[63]  D. Drikakis,et al.  Comparison of structured- and unstructured-grid, compressible and incompressible methods using the vortex pairing problem , 2015 .

[64]  E. Toro Riemann Solvers and Numerical Methods for Fluid Dynamics , 1997 .

[65]  Lakshmi N. Sankar,et al.  Simulation of Rotor in Hover: Current State, Challenges and Standardized Evaluation , 2014 .

[66]  Fundamental Investigation of Grid Resolution on Wake Fidelity Submitted to the APATC Special Session: Simulation of Rotor in Hover , 2018 .

[67]  Carl Ollivier-Gooch,et al.  Accuracy analysis of unstructured finite volume discretization schemes for diffusive fluxes , 2014 .

[68]  Panagiotis Tsoutsanis,et al.  Stencil selection algorithms for WENO schemes on unstructured meshes , 2019, J. Comput. Phys. X.

[69]  Dimitris Drikakis,et al.  WENO schemes on arbitrary unstructured meshes for laminar, transitional and turbulent flows , 2014, J. Comput. Phys..

[70]  Oh Joon Kwon,et al.  Assessment of S-76 rotor hover performance in ground effect using an unstructured mixed mesh method , 2019, Aerospace Science and Technology.