Immersed Boundary Methods

Discretization of a spherical particle with our IB method

The simulation of flows in engineering configurations requires the capability to describe the interaction of the fluid with complex geometries. Traditionally, methods relying on body-fitted meshes have been used to simulate these flows. However, the meshing of complex geometries requires substantial time and effort, and is generally an iterative process. Immersed boundary methods offer a convenient manner of accommodating complex geometries in structured finite volume solvers. The method consists in representing the solid boundary by a force distribution that imposes the no-slip conditions. The method is flexible and allows the representation of arbitrarily complex structures with ease. It is also easily incorporated in structured solvers and does not require excessively small time steps. Current work focuses on improving the coupling between the fluid flow and the force distribution representing the immersed boundary.

Related publications:

  • Dave, H., Herrmann, M. & Kasbaoui, M. H. The volume-filtering immersed boundary method. Journal of Computational Physics 487, 112136 (2023).
  • Kasbaoui, M. H., Kulkarni, T. & Bisetti, F. Direct numerical simulations of the swirling von K ́arm ́an flow using a semi-implicit moving immersed boundary method. Computers & Fluids 230, 105132 (2021).