A moving immersed boundary method for simulating particle interactions at fluid-fluid interfaces

•A new velocity reconstruction scheme for discrete-forcing Immersed Boundary Methods (IBMs) is presented.•A method of prescribing contact lines on the proposed IBM in a Volume-of-Fluid (VOF) framework is proposed.•Validation against experimental and theoretical results from the literature for single and multiphase flows is performed.•The ability of the method to model fluid-structure interaction problems involving capillary forces is demonstrated.•An application with multiple moving bodies is shown. A sharp interface immersed boundary method coupled to a volume-of-fluid method and suitable for moving boundary problems is presented. A discrete-forcing approach is used, in which the velocity reconstruction in the near-boundary region is performed using piece-wise continuous bi-quadratic functions. A method is proposed for coupling the volume-of-fluid equation to the immersed boundary method that allows for the boundary to move, as well as appropriate boundary conditions for imposing contact angles. Numerical simulations of both static and moving boundary problems are performed, which demonstrate the efficacy of the proposed method. Validation is performed by comparing numerical results with experimental data and theoretical models available in the literature.