@Article{CiCP-33-349, author = {Ghosh , ArnabGabbana , AlessandroWijshoff , Herman and Toschi , Federico}, title = {Effective Force Stabilising Technique for the Immersed Boundary Method}, journal = {Communications in Computational Physics}, year = {2023}, volume = {33}, number = {1}, pages = {349--366}, abstract = {
The immersed boundary method has emerged as an efficient approach for
the simulation of finite-sized solid particles in complex fluid flows. However, one of
the well known shortcomings of the method is the limited support for the simulation
of light particles, i.e. particles with a density lower than that of the surrounding fluid,
both in terms of accuracy and numerical stability.
Although a broad literature exists, with several authors reporting different approaches
for improving the stability of the method, most of these attempts introduce extra complexities and are very costly from a computational point of view.
In this work, we introduce an effective force stabilizing technique, allowing to extend
the stability range of the method by filtering spurious oscillations arising when dealing
with light-particles, pushing down the particle-to-fluid density ratio as low as 0.04.
We thoroughly validate the method comparing with both experimental and numerical
data available in literature.