The Selective Cell-Based Smoothed Finite Element Method for Partitioned Semi-Implicit Fluid–Structure Interaction

Abstract A selective cell-based smoothed finite element method (CSFEM) is incorporated into a partitioned semi-implicit coupling scheme for fluid–structure interaction (FSI) based on four-node quadrilateral element. The selective CSFEM invokes full and reduced integrations at different steps of the characteristic-based split (CBS) scheme that solves the Navier–Stokes equations in a fractional-step manner. Because the semi-implicit coupling framework is also underpinned by the CBS scheme, an hourglass control is adopted to stabilize both the partitioned algorithm and selective CSFEM over under-integrated smoothing cells (SCs). The elastodynamics equations are computed via the conventional CSFEM. The developed technique is validated against available data for different FSI examples. In addition to satisfactory results, it can save more computer time than the original semi-implicit coupling algorithm using the standard CSFEM.