A target-fixed immersed-boundary formulation for rigid bodies interacting with fluid flow

Abstract We present an immersed boundary projection method for flow-structure interaction problems involving rigid bodies with complex geometries. Dynamics of a body interacting fluid flow and kinematics other undergoing prescribed motions are coupled implicitly the incompressible vorticity equations. In particular, is formulated in frame reference fixed on under (the target) so that system can be solved non-iteratively, accurately, efficiently. The implicit coupling solver dynamics ensures being stable low solid-to-fluid mass ratios. influence fictitious inside considered spurious oscillations surface stresses filtered to impose physically correct dynamics. Similar many predecessors method, resulting discrete efficiently using block-LU decomposition. then validate two-dimensional test neutrally buoyant cylinder migrating planar Couette freely falling or rising cylindrical body.