Insights into the performance of loosely-coupled FSI schemes based on Robin boundary conditions

05/31/2021
by   Chennakesava Kadapa, et al.
0

Robin boundary conditions are a natural consequence of employing Nitsche's method for imposing the kinematic velocity constraint at the fluid-solid interface. Loosely-coupled FSI schemes based on Dirichlet-Robin or Robin-Robin coupling have been demonstrated to improve the stability of such schemes with respect to added-mass. This paper aims to offer some numerical insights into the performance characteristics of such loosely-coupled FSI schemes based on Robin boundary conditions. Using numerical examples, we demonstrate that the improved stability due to the added damping term is actually at the expense of important dynamic characteristics of the structural sub-problem.

READ FULL TEXT
research
03/28/2022

Dissipation-preserving discretization of the Cahn–Hilliard equation with dynamic boundary conditions

This paper deals with time stepping schemes for the Cahn–Hilliard equati...
research
12/08/2021

Splitting schemes for the semi-linear wave equation with dynamic boundary conditions

This paper introduces novel splitting schemes of first and second order ...
research
10/09/2021

An optimization-based strategy for peridynamic-FEM coupling and for the prescription of nonlocal boundary conditions

We develop and analyze an optimization-based method for the coupling of ...
research
07/12/2023

Exponential stability of damped Euler-Bernoulli beam controlled by boundary springs and dampers

In this paper, the vibration model of an elastic beam, governed by the d...
research
02/25/2020

On the use of spectral discretizations with time strong stability preserving properties to Dirichlet pseudo-parabolic problems

This paper is concerned with the approximation of linear and nonlinearin...
research
11/11/2016

Primal-Dual Optimization for Fluids

We apply a novel optimization scheme from the image processing and machi...
research
01/24/2022

A coupled-mode theory for two-dimensional exterior Helmholtz problems based on the Neumann and Dirichlet normal mode expansion

This study proposes a novel coupled-mode theory for two-dimensional exte...

Please sign up or login with your details

Forgot password? Click here to reset