Immersed Isogeometric Analysis For Vibro-Acoustic Simulations

  • Hoareau, Christophe (Conservatoire national des arts et métiers)
  • Landi, Tommaso (University of Salerno)
  • Citarella, Roberto (University of Salerno)
  • Deü, Jean-François (Conservatoire national des arts et métiers)
  • Ohayon, Roger (Conservatoire national des arts et métiers)

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This work presents an immersed isogeometric approach for vibro-acoustic simulations involving fluid structure interaction [1] using isogeometrical analysis [2]. The estimation of noise in cavities, such as cars or planes interiors, is of prime importance for the design. The structural component is modeled using the Kirchhoff–Love shell theory [3], while the internal acoustic fluid is described by the Helmholtz equation in the frequency domain. A variational formulation of the coupled problem is established, accounting for the interaction between structural displacements and acoustic pressure fields. The displacement field is discretized using NURBS basis functions, whereas the acoustic pressure field is approximated by hierarchical B-splines [4], enabling local refinement within the fluid domain. The proposed methodology relies on an immersed framework, allowing the structural surface to be embedded into the background fluid discretization, thus avoiding the need for conforming fluid–structure meshes [5]. This approach facilitates the direct use of CAD-based geometries and alleviates the meshing complexity typically associated with vibro-acoustic problems. Finally, a numerical example is presented to demonstrate the feasibility and effectiveness of the proposed immersed isogeometric formulation for coupled vibro-acoustic analysis. [1] Morand H.J.-P., Ohayon R., Fluid–Structure Interaction, John Wiley & Sons, 1995. [2] Cottrell J.A., Hughes T.J.R., Bazilevs Y., Isogeometric Analysis: Toward Integration of CAD and FEA, John Wiley & Sons, 2009. [3] Kiendl J., Bletzinger K.-U., Linhard J., Isogeometric shell analysis with Kirchhoff–Love elements, Computer Methods in Applied Mechanics and Engineering, Vol. 198, pp. 3902–3914, 2009. [4] Schillinger D., Dedè L., Scott M.A., Evans J.A., Borden M.J., Rank E., Hughes T.J.R., An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces, Computer Methods in Applied Mechanics and Engineering, Vol. 249–252, pp. 116–150, 2012. [5] Landi T., Hoareau C., Deü J.-F., Ohayon R., Citarella R., Comparative vibroacoustic analyses: FEM vs. IGA, Computational Mechanics, pp. 1027–1059, 2025.