An energy stable monolithic Eulerian fluid-structure finite element method

An Energy stable Monolithic Eulerian Fluid-Structure Numerical Scheme *

The conservation laws of continuum mechanics, written in an Eulerian frame, do not distinguish fluids and solids, except in the expression of the stress tensors, usually with Newton’s hypothesis for the fluids and Helmholtz potentials of energy for hyperelastic solids. By taking the velocities as unknown monolithic methods for fluid structure interactions (FSI) are built. In this article such a...

Numerical simulation of fluid movement in an hourglass by an energy-stable finite element scheme

We simulate flow movement in an hourglass occupied by two fluids with surface tension on the interface and compare the difference of movements of fluids between the non-slip and slip boundary conditions and small and large coefficients of surface tension. The simulation is carried out by an energy-stable finite element scheme developed recently by ourself.

Fluid-Structure Interaction Using the Particle Finite Element Method

In the present work a new approach to solve fluid-structure interaction problems is described. Both, the equations of motion for fluids and for solids have been approximated using a material (lagrangian) formulation. To approximate the partial differential equations representing the fluid motion, the shape functions introduced by the Meshless Finite Element Method (MFEM) have been used. Thus, t...

A Unified Finite Element Method for Fluid-Structure Interaction

In this article, we present a new unified finite element method (UFEM) for simulation of general Fluid-Structure interaction (FSI) which has the same generality and robustness as monolithic methods but is significantly more computationally efficient and easier to implement. Our proposed approach has similarities with classical immersed finite element methods (IFEMs), by approximating a single v...

Unconditionally stable semi-implicit scheme for the monolithic FSI Finite Element method: application to hemodynamics