A Method of Mesh Deformation for Flow Analysis Around Oscillating Bodies

Year : 2025 | Volume : 16 | Issue : 02 | Page : 35 42
    By

    Phyong Guk Paek,

  • Yun Hyok Kim,

  • Sol Song Pak,

  • Yong Chol Pak,

  • Chong Il Hong,

  1. Faculty, Department of Mechanics, Kim Il Sung University, Taesong District, Korea
  2. Faculty, Department of Mechanics, Kim Il Sung University, Taesong District, Korea
  3. Faculty, Department of Mechanics, Kim Il Sung University, Taesong District, Korea
  4. Faculty, Department of Mechanics, Kim Il Sung University, Taesong District, Korea
  5. Faculty, Department of Mechanics, Kim Il Sung University, Taesong District, Korea

Abstract

In general, high-speed rotating machines are subjected to complex phenomena due to various reasons, such as increased noise and strong vibration due to dynamic unbalance, which affect the dynamic motion of rotating machines and are necessarily a problem to overcome. Therefore, it is necessary to have a mathematical model to simulate it, and a strong tool to solve the constructed model. Using fluid-structure coupling techniques, which are currently a powerful technique for solving practical problems, great progress can be made in simulating the hoop phenomenon and studying the dynamic characteristics of high-speed rotating machines. Unless the fluid structure problems are solved in combination, accurate results cannot be produced, which will be a strong challenge for design and research. Especially in such a motion with strong nonlinearity, early success cannot necessarily be expected without using powerful tools and techniques. The plata phenomenon and various nonlinear fluid-solid interaction problems typically considered in rotating machinery and airframes require essentially a flow analysis around a vibrating body. In general, to solve the fluid-solid interaction problem, the flow field analysis in the computational domain, which is changing due to the motion of solids, and the deformation of solids due to the action of hydrodynamic forces, must be considered simultaneously. In this study, a method of mesh deformation suitable for the motion of a body is proposed in the analysis of the flow field around a vibrating body. The integral form of the two-dimensional Euler equation in the variable computational domain is discretized using the finite volume method. Boundary conditions on the object surface are realized by mirror reflection in a local coordinate system fixed to the object surface to satisfy the impermeability condition through the object boundary. The far-field boundary conditions were applied at the outer boundary. To provide the boundary conditions correctly, the nodes of the body boundary must always be placed at the body boundary during the calculation. Also, to maintain the mesh quality, the velocity of the nodal movement at a position close to the object boundary must be greater than that at a far location. And the nodes of the outer boundary must be fixed. To determine the travel speed of the grid nodes, one algebraic equation is solved at each grid node. This can greatly reduce the computational effort in the computational domain, which is changed due to the motion of the object. The accuracy was verified by compressible flow field analysis around a two-dimensional oscillating blade. In this study, the flow around the oscillating Naca0012 blade is analyzed.

Keywords: Vibration, airfoil, fluid analysis, angle of attack, sign

[This article belongs to Journal of Experimental & Applied Mechanics ]

How to cite this article:
Phyong Guk Paek, Yun Hyok Kim, Sol Song Pak, Yong Chol Pak, Chong Il Hong. A Method of Mesh Deformation for Flow Analysis Around Oscillating Bodies. Journal of Experimental & Applied Mechanics. 2025; 16(02):35-42.
How to cite this URL:
Phyong Guk Paek, Yun Hyok Kim, Sol Song Pak, Yong Chol Pak, Chong Il Hong. A Method of Mesh Deformation for Flow Analysis Around Oscillating Bodies. Journal of Experimental & Applied Mechanics. 2025; 16(02):35-42. Available from: https://journals.stmjournals.com/joeam/article=2025/view=227275


References

  1. Dowell Earl H. A modern course in aeroelasticity. In: Solid Mechanics and Its Applications. Cham: Springer; 2004; 116.
  2. Hwang CJ, Yang Locally Implicit Total Variation Diminishing Schemes on Mixed Quadrilateral-Triangular Meshes. AIAA Journal.1993; 31(11): 2008–2015.
  3. Kershaw David S, Prasad Manoj K. 3D Unstructured mesh ALE hydrodynamics with the upwind discontinuous finite element method. Comput Methods Appl Mech Eng. 1998; 158(1–2): 81–116.
  4. Beran PS, Huttsell LJ, Buxton BJ, Noll C, Osswald G. Computational aeroelastic techniques for viscous flow. In: CEAS/AIAA/ICASE/NASA Langley International Forum on Aeroelasticity and Structural Dynamics, Williamsburg, VA. 1999 Jun 22–25.
  5. Dowell EH. Eigenmode analysis in unsteady aerodynamics: Reduced-order analysis. Am Inst Aeronaut Astronaut J. 1996; 34(8): 1578–83.
  6. Dowell EH, Hall KC. Modeling of fluid–structures interaction. Ann Rev Fluid Mech. 2001; 33: 445–90.
  7. Dowell EH, Hall KC, Thomas J, Florea R, Epureanu B, Heeg J. Reduced order models in unsteady aerodynamics. In: AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, St. Louis, MO. 1999 Apr 12–15.
  8. Epureanu BI, Dowell EH, Hall KC. A parametric analysis of reduced order models of potential flows in turbomachinery using proper orthogonal decomposition. 2001-GT-0434. In: Proceedings of ASME Turbo-Expo 2001, New Orleans, Louisiana. 2001 Jun 4–7.
  9. Epureanu BI, Hall KC, Dowell EH. Reduced order models of unsteady transonic viscous flows in turbomachinery. J Fluids Struct. 2000; 14(8): 1215–34.
  10. Epureanu BI, Hall KC, Dowell EH. Reduced order models in turbomachinery using inviscid–viscous coupling. J Fluids Struct. 2001; 15(2): 255–76.
  11. Florea R, Hall KC, Dowell EH. Eigenmode analysis and reduced order modeling of unsteady transonic full potential flow around isolated airfoils. In: CEAS/AIAA/ICASE/NASA Langley International Forum on Aeroelasticity and Structural Dynamics, Williamsburg, VA. 1999 Jun
    22–25.
  12. Hall KC, Thomas JP, Dowell EH. Reduced-order modeling of unsteady small-disturbance flows using a frequency domain proper orthogonal decomposition technique. In: AIAA 99-0655, 37th Aerospace Sciences Meeting and Exhibit, Reno, NV. 1999 Jan 11–15.
  13. Holmes P, Lumley J, Berkooz G. Turbulence, coherent structures, dynamical systems and symmetry. Cambridge, MA: Cambridge University Press; 1996.
  14. Ito K, Ravindran SS. A reduced-order method for simulation and control of fluid flows. J Computat Phys. 1998; 143(2): 403–25.
  15. Kunisch K, Volkwein S. Control of the Burgers equation by a reduced-order approach using proper orthogonal decomposition. J Optim Theory Appl. 1999; 102: 345–71.
  16. LeGresley PA, Alonso JJ. Airfoil design optimization using reduced order models based on proper orthogonal decomposition. In AIAA 2000-2545, Fluids 2000 Conference and Exhibit, Denver, CO. 2000 Jun.
  17. Lucia DJ. Reduced order modeling for high speed flows with moving shocks. PhD thesis. USA: Air Force Institute of Technology, School of Engineering and Management;
  18. Lucia DJ, Beran PS, King PI. Reduced order modeling of an elastic panel in transonic flow. In: AIAA 2002-1594, 43rd AIAA/ASME/ASCE/AHS Structures, Structural Dynamics, and Materials Conference, Denver, CO. 2002 Apr 22–25.
  19. Lucia DJ, King PI, Beran PS, Oxley ME. Reduced order modeling for a one-dimensional nozzle flow with moving shocks. In: AIAA 2001-2602, 19th AIAA Computational Fluid Dynamics Conference, Anaheim, CA. 2001 Jun.
  20. Mortara SA, Slater JC, Beran PS. An optimal proper orthogonal decomposition technique for the computation of nonlinear panel flutter. In: AIAA 2000-1936.

Regular Issue Subscription Original Research
Volume 16
Issue 02
Received 16/05/2025
Accepted 01/07/2025
Published 26/07/2025
Publication Time 71 Days



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