Using a non-conforming meshes method to simulate an interaction be-tween incompressible flow and rigid and elastic boundaries

Anas Abid Mattie,Asad Alizadeh

doi:10.5755/j01.mech.25.4.22975

Anas Abid Mattie, Asad Alizadeh

Open Access

https://doi.org/10.5755/j01.mech.25.4.22975

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Journal: Mechanics	Publication Date: Aug 28, 2019
Citations: 1	License type: cc-by

Affiliation: Duhok Polytechnic University, University of Zakho

Abstract

The interaction between incompressible fluids and elastic and rigid boundaries is seen in many medical, engineering and natural issues. The immersed interface method is used as a non-conforming meshes method to simulate such problems. In this method, the effect of the presence of a body immersed in a fluid is considered by adding a force term to the Navier-Stokes equations. An important advantage of this method is that there is no compulsion to adapt the fluid grids and the boundary grids. First, the flow around a circular cylinder was simulated. As the Reynolds number rises, the vortex dimensions become larger and, as a result, the separation angle of the flow increases. Also, with the Reynolds number increasing, the drag coefficient decreases and the Strouhal number increases and the flow separated from cylinder and two symmetrical vortices is generated behind the cylinder. Then, the behavior of an elastic boundary in shear flow was investigated. It was observed that by increasing bending modulus (increasing stiffness) of body the shape change of the boundary decreases. As well as the tank-treading motion is also observed that this type of movement has been confirmed in experiments.Also observed that the sick cell makes smaller defor-mation, while the normal cell is more deformed and easier passes the stenosis. This results in reduction of the flow rate in stenosis.This behavior is caused by a type of dis-ease called sickle cell anemia.

Highlights

Whenever a fluid field with a common boundary with a rigid or flexible solid is influenced by the fluid regime and the dynamic behavior of the solid field, the phenomenon of fluid-solid interaction has occurred
In this study, using immersed interface method, which is a non-conforming meshes method. we study the behavior of the flow around the rigid and elastic boundaries and compare the ability of this method to simulate the fluid-solid interaction with other experimental and numerical results
The basic idea of the immersed interface method is to account for the singular forces along the immersed boundaries by explicitly incorporating the jumps in the solutions and their derivatives into the difference equations

Summary

Introduction

Whenever a fluid field with a common boundary with a rigid or flexible solid is influenced by the fluid regime and the dynamic behavior of the solid field, the phenomenon of fluid-solid interaction has occurred. Unlike the immersed boundary method with numerical smearing near the interface, the immersed interface method (IIM) can capture the solution and its derivative jumps sharply and maintains second-order accuracy via incorporating the known jump conditions into the finite difference approximations near the interface The advantage of this method over other computational fluid dynamics methods is that there is no compulsion to adapt the computational grid with the immersed boundaries. We study the behavior of the flow around the rigid and elastic boundaries and compare the ability of this method to simulate the fluid-solid interaction with other experimental and numerical results. The purpose of this study is the ability of the immersed interface method to be used as a non-conforming meshes method to simulate the flow around rigid and flexible borders (such as red blood cells)

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