We present a fully coupled three dimensional formulation based on arbitrary Lagrangian-Eulerian (ALE) approach with exact interface tracking for nonlinear fluid-structure interactions. This formulation is second order accurate in time and stable for very low mass ratios of O(10). The proposed formulation is an extension of the combined field with explicit interface (CFEI) presented in [1, 2] fo...

Abstract This work describes the implementation of a novel dynamic Arbitrary Lagrangian Eulerian (ALE) formulation for simulation pavement structures loaded by rolling tires in finite element framework. The proposed enables effects like acceleration, deceleration and variation wheel load on pavement. ALE scheme is described hyperelastic St. Venant-Kirchhoff material capable deformations. With a...

In this work, we present a Fully Eulerian framework for fluid-structure interaction (fsi) problems coupling the incompressible Navier-Stokes equations with a hyperelastic solid. The Fully Eulerian framework is a monolithic implicit variational formulation for the coupled problem. In contrast to the well-established Arbitrary Lagrangian Eulerian (ALE) coordinates, the Fully Eulerian framework fo...

A coupled variational equation for fluid–solid interaction (FSI) problems is derived using a steady state Navier–Stokes equation for incompressible flows, an equilibrium equation for geometrically nonlinear solids, a traction continuity condition at interfaces, and a pseudo-equilibrium equation for mesh velocity. The moving boundary in arbitrary Lagrangian–Eulerian (ALE) formulation is included...

In this study, Flowfield Dependent Variation (FDV) method is coupled with Arbitrary Lagrangian-Eulerian (ALE) method in order to solve fluid-structure interaction problems. FDV method is a mixed explicit-implicit numerical scheme where its implicitness is determined by several parameters that are dependent on the physical properties of the local flow. The scheme which is called as ALE-FDV metho...

This contribution is the second part of two papers on the Fully Eulerian formulation for fluid-structure interactions (fsi). We present different fsi applications using the Fully Eulerian scheme, where traditional interface-tracking approaches like the Arbitrary LagrangianEulerian (ALE) framework show difficulties. Furthermore, we present examples where parts of the geometry undergo a large mot...

In many coupled problems of practical interest the domain of at least one of the problems evolves in time. The Arbitrary Eulerian Lagrangian (ALE) approach is a tool very often employed to cope with this domain motion. However, in this work we aim at describing numerical techniques that allow us to use a fixed mesh for the approximation of moving boundary problems, particularly using the finite...