Towards a Flexible Immersed Boundary Method for Fluid/Structure Interactions in Turbomachinery Applications

2016 ◽  
Author(s):  
Gianluca Iaccarino ◽  
Sangjin Lee ◽  
Jungchan Kim ◽  
Youngho Ju
Keyword(s):  
Immersed Boundary Method ◽  
Unstructured Grid ◽  
Navier Stokes ◽  
Immersed Boundary ◽  
Fluid Structure Interactions ◽  
Fluid Structure ◽  
Fully Implicit ◽  
Boundary Method ◽  
Refined Meshes ◽  
Locally Refined Meshes

The Immersed Boundary method is implemented in an unstructured-grid, compressible Reynolds averaged Navier-Stokes solver to perform fluid/structure interaction simulations in a turbo machinery configurations. The implementation enables the use of locally refined meshes and general streamlined grids to capture highly curved components and non-Cartesian configurations typical of turbomachinery components. The coupling between fluid solver and a stand-alone structure based solver is based on a fully implicit procedure and is validated by comparisons to existing results on simple rigid and deformable cylinders configurations. Initial applications of the method to aeroelastic computations of the NASA Rotor 67 configuration are also reported.

A wavelet immersed boundary method for two-variable coupled fluid-structure interactions

2021 ◽  
Vol 405 ◽  
pp. 126243
Author(s):  
Yanfei He ◽  
Xingwu Zhang ◽  
Tao Zhang ◽  
Chenxi Wang ◽  
Jia Geng ◽  
...  
Keyword(s):  
Immersed Boundary Method ◽  
Immersed Boundary ◽  
Fluid Structure Interactions ◽  
Fluid Structure ◽  
Boundary Method

FINITE ELEMENT APPROACH TO IMMERSED BOUNDARY METHOD WITH DIFFERENT FLUID AND SOLID DENSITIES

2011 ◽  
Vol 21 (12) ◽  
pp. 2523-2550 ◽  
Author(s):  
DANIELE BOFFI ◽  
NICOLA CAVALLINI ◽  
LUCIA GASTALDI
Keyword(s):  
Finite Element ◽  
Immersed Boundary Method ◽  
Stokes Equations ◽  
Numerical Procedure ◽  
Biological Tissues ◽  
Immersed Boundary ◽  
Fluid Structure ◽  
Finite Element Approach ◽  
Boundary Method ◽  
Element Approach

The Immersed Boundary Method (IBM) has been designed by Peskin for the modeling and the numerical approximation of fluid-structure interaction problems, where flexible structures are immersed in a fluid. In this approach, the Navier–Stokes equations are considered everywhere and the presence of the structure is taken into account by means of a source term which depends on the unknown position of the structure. These equations are coupled with the condition that the structure moves at the same velocity of the underlying fluid. Recently, a finite element version of the IBM has been developed, which offers interesting features for both the analysis of the problem under consideration and the robustness and flexibility of the numerical scheme. Initially, we considered structure and fluid with the same density, as it often happens when dealing with biological tissues. Here we study the case of a structure which can have a density higher than that of the fluid. The higher density of the structure is taken into account as an excess of Lagrangian mass located along the structure, and can be dealt with in a variational way in the finite element approach. The numerical procedure to compute the solution is based on a semi-implicit scheme. In fluid-structure simulations, nonimplicit schemes often produce instabilities when the density of the structure is close to that of the fluid. This is not the case for the IBM approach. In fact, we show that the scheme enjoys the same stability properties as in the case of equal densities.

scholarly journals A Stress Mapping Immersed Boundary Method for Viscous Flows

2021 ◽  
Vol 87 (3) ◽  
pp. 1-20
Author(s):  
Karim M. Ali ◽  
Mohamed Madbouli ◽  
Hany M. Hamouda ◽  
Amr Guaily
Keyword(s):  
Immersed Boundary Method ◽  
Stokes Equations ◽  
Cross Flow ◽  
Navier Stokes ◽  
Immersed Boundary ◽  
Element Formulation ◽  
Navier Stokes Equations ◽  
Boundary Method ◽  
Background Grid ◽  
Dimensional Simulation

This work introduces an immersed boundary method for two-dimensional simulation of incompressible Navier-Stokes equations. The method uses flow field mapping on the immersed boundary and performs a contour integration to calculate immersed boundary forces. This takes into account the relative location of the immersed boundary inside the background grid elements by using inverse distance weights, and also considers the curvature of the immersed boundary edges. The governing equations of the fluid mechanics are solved using a Galerkin-Least squares finite element formulation. The model is validated against a stationary and a vertically oscillating circular cylinder in a cross flow. The results of the model show acceptable accuracy when compared to experimental and numerical results.

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