Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-26T07:32:47.385Z Has data issue: false hasContentIssue false
  • English
  • Français

Simulation of Viscous Flows Around A Moving Airfoil by Field Velocity Method with Viscous Flux Correction

Published online by Cambridge University Press:  03 June 2015

Ning Gu ,
Zhiliang Lu  and
Tongqing Guo
Ning Gu
Affiliation:
Department of Aerodynamics, Nanjing University of Aeronautics and Astronautics, 29 Yudao Street, Nanjing 210016, China
Zhiliang Lu*
Affiliation:
Department of Aerodynamics, Nanjing University of Aeronautics and Astronautics, 29 Yudao Street, Nanjing 210016, China
Tongqing Guo
Affiliation:
Department of Aerodynamics, Nanjing University of Aeronautics and Astronautics, 29 Yudao Street, Nanjing 210016, China
*
Corresponding author. Email: [email protected]
Get access

Abstract

Based on the field velocity method, a novel approach for simulating unsteady pitching and plunging motion of an airfoil is presented in this paper. Responses to pitching and plunging motions of the airfoil are simulated under different conditions. The obtained results are compared with those of moving grid method and good agreement is achieved. In the conventional field velocity method, the Euler solver is usually used to simulate the movement of the airfoil. However, when viscous effect is considered, unsteady Navier-Stokes equations have to be solved and the viscous flux correction must be taken into account. In this work, the viscous flux correction is introduced into the conventional field velocity method when non-uniform grid speed distribution is occurred. Numerical experiments for the flow around NACA0012 airfoil showed that the proposed approach can well simulate viscous moving boundary flow problems.

Keywords

65Z0565M04Gust responseunsteady Navier-Stokes equationsfield velocity methodviscous flux correction
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 4 , Issue 3 , June 2012 , pp. 294 - 310
Copyright
Copyright © Global-Science Press 2012

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1]Deng, F., Wu, Y. Z. and Liu, X. Q., Numerical simulation of two-dimensional unsteady viscous flow based on hybrid dynamic grids, Journal of Nanjing University of Aeronautics & Astronautics, 39 (2009), pp. 444–448.Google Scholar
[2]Jahangirian, A. and Hadidoolabi, M., Unstructured moving grids for implicit calculation of unsteady compressible viscous flows, Int. J. Numer. Meth. Fluids., 47 (2005), pp. 1107–1113.Google Scholar
[3]Farhat, C., Degand, C., Koobus, B. and Lesoinne, M., An improved method of spring analogy for dynamic unstructured fluid meshes, AIAA., 98–2070.Google Scholar
[4]Tadghighi, H., Liu, Z. and Ramakrishnan, S. V., A pseudo grid-deformation approach for simulation of unsteady flow past a helicopter in hover and forward flights, AIAA, 05–1361.Google Scholar
[5]Zhan, H. and Qian, W. Q., Numerical simulation of gust response for airfoil and wing, Acta. Aerodyn. Sinica., 25 (2007), pp. 532–536.Google Scholar
[6]Zhan, H. and Qian, W. Q., Numerical simulation on gust response of elastic wing, Chinese J. Comput. Mech., 26 (2009), pp. 271–275.Google Scholar
[7]Singh, R. and Baeder, J. D., Direct calculation of three dimensional indicial lift response using computational fluid dynamics, J. Aircraft., 34 (1997), pp. 465–471.Google Scholar
[8]Parameswaran, V. and Baeder, J. D., Indicial aerodynamics in compressible flow-direct computational fluid dynamic calculation, J. Aircraft., 34 (1997), pp. 131–133.CrossRefGoogle Scholar
[9]Gopalan, H. and Povitsky, A., A numerical study of gust suppression by flapping airfoils, AIAA., 08–6394.Google Scholar
[10]Yang, G. W., Numerical analyses of discrete gust response for an aircraft, J. Aircraft., 41 (2004), pp. 1353–1359.Google Scholar
[11]Raveh, D. E., CFD-based models of aerodynamic gust response, AIAA., 06–2022.Google Scholar
[12]Raveh, D. E., CFD-based gust response analysis of free elastic aircraft, AIAA., 09–2539.Google Scholar
[13]Sitaraman, J. and Bader, J. D., Enhanced unsteady airload models using CFD, AIAA., 00–33847.Google Scholar
[14]Singh, R. and Baeder, J. D., On the significance of transonic effects on aerodynamics and acoustics of blade vortex interaction, AIAA., 96–1697.Google Scholar
[15]Sitaraman, J. and Baeder, J. D., Field velocity approach and geometric conservation law for unsteady flow simulations, AIAA. J., 44 (2006), pp. 2084–2094.Google Scholar
[16]Sitaraman, J., Baeder, J. D. and Chopra, I., Validation of UH-60A Blade Aerodynamic Characteristics Using CFD, Proceedings of the 59th Annual Forum of American Helicopter Society, 2003.Google Scholar
[17]Sitaraman, J., Datta, A., Chopra, I. and Baeder, I. J., Coupled CFD/CSD Prediction of Rotor Aerodynamic and Structural Dynamic Loads for Three Critical Flight Conditions, Proceedings of the 31st European Rotorcraft Forum, 2005.Google Scholar
[18]Blazek, J., Computational Fluid Dynamics: Principles And Applications, Kidlington: Elsevier Science Ltd: 5-22, 2001.Google Scholar
[19]Jameson, A., Schmidt, W. and Turkel, E., Numerical solution of the Euler equations by finite volume methods using Runge-Kutta time-stepping scheme, AIAA., 81–1259.Google Scholar
[20]Spalart, S. R. and Allmaras, S. A., A one-equation turbulence model for aerodynamic flows, AIAA., 92–0439.Google Scholar
[21]Mazaheri, K. and Roe, P. L., Numerical wave propagation and steady-state solutions: soft wall and outer boundary conditions, AIAA. J., 35 (1997), pp. 965–975.Google Scholar
[22]Guo, T. Q., Transonic Unsteady Aerodynamics and Flutter Computations for Complex Assemblies, Ph. D. Thesis, Nanjing University of Aeronautics and Astronautics, 2006.Google Scholar
[23]Lu, Z. L., Generation of dynamic grids and computation of unsteady transonic flows around assemblies, Chinese Journal of Aeronautics, 2001.Google Scholar