Embedded Finite Volume Technique for Fluid/Rigid-Body Interaction Problems
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This work presents an embedded finite volume technique for modeling fluid interactions with rigid bodies using a Darcy-based penalization approach. The methodology simplifies the numerical treatment of immersed solids by treating them as porous regions, avoiding complex mesh deformation techniques. The approach is implemented in an open-source computational framework, facilitating large-scale simulations. Validation includes analytical benchmarks such as Poiseuille flow and Stokes problems, as well as comparisons with literature for moving bodies. Results demonstrate accurate boundary condition imposition, numerical stability, and convergence. This robust and efficient formulation holds potential for three-dimensional simulations, multi-body dynamics, and free-surface interactions.