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Immersed Boundary Method on Deformable Unstructured Meshes for Airfoil Aeroacoustic Simulation


An immersed boundary method on unstructured meshes is used in serial eddy-resolving simulations of turbulent flows over individual bodies with a changeable configuration and position. The corresponding numerical technique is based on mesh deformation and dynamic adaptation of a moving mesh without changing its topology. The described approach makes it possible to substantially reduce the computational costs of serial computations with variations in geometric parameters aimed at optimizing the shapes of airfoil elements. The performance of the technique is demonstrated by simulating the aeroacoustic properties of a two-element airfoil segment involving a leading-edge slat with changeable geometry.

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This work was performed using computing resources of the federal collective use center Complex for Simulation and Data Processing for Mega-science Facilities at NRC “Kurchatov Institute,”


This work was supported by the Russian Science Foundation, grant no. 16-11-10350.

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Correspondence to I. V. Abalakin, N. S. Zhdanova or T. K. Kozubskaya.

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Translated by I. Ruzanova

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Abalakin, I.V., Duben, A.P., Zhdanova, N.S. et al. Immersed Boundary Method on Deformable Unstructured Meshes for Airfoil Aeroacoustic Simulation. Comput. Math. and Math. Phys. 59, 1982–1993 (2019).

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  • immersed boundary method
  • Brinkman penalization method
  • unstructured mesh
  • moving mesh
  • mesh deformation
  • LES approach
  • turbulent flow
  • airfoil
  • slat
  • aeroacoustics