The aim of the present chapter is to provide an in‐depth survey of arbitrary Lagrangian–
Eulerian (ALE) methods, including both conceptual aspects of the mixed kinematical …

The left ventricle (LV) pumps oxygenated blood from the lungs to the rest of the body through
systemic circulation. The efficiency of such a pumping function is dependent on blood flow …

Staggered solution procedures represent the most elementary computational strategy for the
simulation of fluid–structure interaction problems. They usually consist of a predictor …

The sharp interface immersed boundary method (IBM) is a powerful tool to simulate the flow
around moving objects. This paper extends this method to simulate the motion of particles …

This paper proposes a new Fluid–Structure Interaction computational framework. The
coupling between the solid and an incompressible fluid is formulated by means of the …

We introduce a new method to triangulate planar, curved domains that transforms a specific
collection of triangles in a background mesh to conform to the boundary. In the process, no …

Partitioned Newton type solution strategies for the strongly coupled system of equations
arising in the computational modelling of fluid–solid interaction require the evaluation of …

Abstract The block Gauss–Seidel procedure is widely used for the resolution of the strong
coupling in the computer simulation of fluid–structure interaction. Based on a simple model …

We present a numerical scheme for fluid–structure interaction based on hierarchical B-
Spline grids and fictitious domain/distributed Lagrange multipliers. The incompressible …

We present a robust and efficient stabilised immersed framework for fluid–structure
interaction involving incompressible fluid flow and flexible structures undergoing large …