BOUNDARY NON-CONFORMING METHODS FOR FLUID-STRUCTURE INTERACTION PROBLEMS

Abstract

The work focuses on developing boundary non-conforming methods, such as Smoothed Profile Method (SPM) and new explicit Immersed Boundary Method (IBM), for studying Fluid-Structure Interactions (FSI). The aim is to investigate the computational efficiency and ease in implementation of both SPM and explicit IBM. With SPM, 2D FSI problems with implicit surfaces are investigated. Whereas, the new explicit IBM is used for both 2D and 3D FSI problems with complex geometries, cases where it would be difficult to represent the immersed boundary by an implicit surface. The method is inspired from the boundary condition-enforced IBM (BCEIBM) while focusing on speed up and ease of implementation. Numerical simulations are presented to demonstrate its robustness with increase in computational efficiency. Later, 3D explicit IBM is used to study the stabilizing effect of hole diameter in falling disk. Also, multi-phase problems are investigated, where new explicit IBM is combined with flux correction-based IBM.