In this talk we introduce a novel approach to accelerate the direct-forcing immersed boundary method (IBM) for moving boundary simulations. Our work extends the SIMPLE method for IBM [1], focusing on an innovative solution strategy for the coupled pressure-force correction system. We present a new block reduction approach that solves the primal Schur complement for pressure corrections. The key feature of our method is an efficient preconditioning technique using the Laplacian of pressure. To support the efficacy of this preconditioner, we provide mathematical proof of spectral equivalence between the Laplacian and Schur complement operators. This theoretical foundation ensures constant-iteration convergence regardless of grid size, Reynolds number, or time step. Our approach significantly reduces memory requirements, enabling high precision moving boundary simulations on standard workstations. To validate our method, we will present results from 3D simulations of flow around an oscillating sphere, demonstrating the scalability and efficiency of our approach. Through this work, we aim to illustrate how this advancement makes complex fluid dynamics simulations more accessible to the broader CFD community, potentially opening new avenues for research and application in various fields of fluid mechanics. REFERENCES [1] Goncharuk, Kirill, Oshri, Oz & Feldman, Yuri 2023, The immersed boundary method: a SIMPLE approach, Journal of Computational Physics, 487, 112148