Boundary element simulation of fully three-dimensional bubble dynamics.

2009 ◽  
Vol 126 (4) ◽  
pp. 2161
Author(s):  
Jason P. Kurtz ◽  
Mark F. Hamilton
Keyword(s):  
Boundary Element ◽  
Bubble Dynamics ◽  
Three Dimensional ◽  
Element Simulation

scholarly journals Modelling single- and tandem-bubble dynamics between two parallel plates for biomedical applications

2013 ◽  
Vol 716 ◽  
pp. 137-170 ◽  
Author(s):  
C.-T. Hsiao ◽  
J.-K. Choi ◽  
S. Singh ◽  
G. L. Chahine ◽  
T. A. Hay ◽  
...  
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Bubble Dynamics ◽  
Initial Conditions ◽  
Three Dimensional ◽  
Design Tool ◽  
Parallel Plates ◽  
Jet Formation ◽  
Viscous Boundary Layer ◽  
Element Method

AbstractCarefully timed tandem microbubbles have been shown to produce directional and targeted membrane poration of individual cells in microfluidic systems, which could be of use in ultrasound-mediated drug and gene delivery. This study aims at contributing to the understanding of the mechanisms at play in such an interaction. The dynamics of single and tandem microbubbles between two parallel plates is studied numerically and analytically. Comparisons are then made between the numerical results and the available experimental results. Numerically, assuming a potential flow, a three-dimensional boundary element method (BEM) is used to describe complex bubble deformations, jet formation, and bubble splitting. Analytically, compressibility and viscous boundary layer effects along the channel walls, neglected in the BEM model, are considered while shape of the bubble is not considered. Comparisons show that energy losses modify the bubble dynamics when the two approaches use identical initial conditions. The initial conditions in the boundary element method can be adjusted to recover the bubble period and maximum bubble volume when in an infinite medium. Using the same conditions enables the method to recover the full dynamics of single and tandem bubbles, including large deformations and fast re-entering jet formation. This method can be used as a design tool for future tandem-bubble sonoporation experiments.

Computational Mechanics in Virtual Reality: Cutting and Tumour Interactions in a Boundary Element Simulation of Surgery on the Brain

2006 ◽  
Vol 5-6 ◽  
pp. 55-62
Author(s):  
I.A. Jones ◽  
A.A. Becker ◽  
A.T. Glover ◽  
P. Wang ◽  
S.D. Benford ◽  
...  
Keyword(s):  
Virtual Reality ◽  
Boundary Element ◽  
Force Feedback ◽  
Three Dimensional ◽  
Tactile Feedback ◽  
Solid Objects ◽  
Element Simulation ◽  
Recent Developments ◽  
New Applications ◽  
The Brain

Boundary element (BE) analysis is well known as a tool for assessing the stiffness and strength of engineering components, but, along with finite element (FE) techniques, it is also finding new applications as a means of simulating the behaviour of deformable objects within virtual reality simulations since it exploits precisely the same kind of surface-only definition used for visual rendering of three-dimensional solid objects. This paper briefly reviews existing applications of BE and FE within virtual reality, and describes recent work on the BE-based simulation of aspects of surgical operations on the brain, making use of commercial hand-held force-feedback interfaces (haptic devices) to measure the positions of the virtual surgical tools and provide tactile feedback to the user. The paper presents an overview of the project then concentrates on recent developments, including the incorporation of simulated tumours in the virtual brain.

Direct numerical simulation of three-dimensional dynamics of compressible bubbles in acoustic field using boundary element method

2014 ◽  
Vol 10 ◽  
pp. 59-65
Author(s):  
Yu.A. Itkulova ◽  
O.A. Abramova ◽  
N.A. Gumerov ◽  
I.Sh. Akhatov
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Acoustic Field ◽  
Bubble Dynamics ◽  
Three Dimensional ◽  
Reynolds Numbers ◽  
Numerical Approach ◽  
Low Reynolds Numbers ◽  
Dimensional Simulation ◽  
Element Method

In the present work the dynamics of bubbles containing compressible gas is studied in the presence of an acoustic field at low Reynolds numbers. The numerical approach is based on the boundary element method (BEM), which is effective for three-dimensional simulation. The application of the standard BEM to the compressible bubble dynamics faces the problem of the degeneracy of the algebraic system. To solve this problem, additional relationships based on the Lorentz reciprocity principle are used. Test calculations of the dynamics of one and several bubbles in an acoustic field are presented.

Boundary Element Simulations of Compressible Bubble Dynamics in Stokes Flows

2013 ◽  
Author(s):  
Yulia A. Itkulova ◽  
Olga A. Abramova ◽  
Nail A. Gumerov
Keyword(s):  
Boundary Element ◽  
Bubble Dynamics ◽  
Three Dimensional ◽  
Reynolds Numbers ◽  
Acoustic Fields ◽  
Reciprocity Principle ◽  
Low Reynolds Numbers ◽  
Bubble Interaction ◽  
Modeling Of Dynamics ◽  
Compressible Bubble

Modeling of dynamics of compressible bubbles in acoustic fields at low Reynolds numbers is of interest for a number of contemporary micro- and nanotechnologies. Despite the boundary element method (BEM) is an appropriate method to simulate deformation of three-dimensional bubbles computation of compressible bubbles dynamics using conventional BEM causes difficulties due to degeneration of the resulting system of equations. In the present approach additional relations based on the Lorentz reciprocity principle are used to resolve the problem. The approach is validated by test simulations of dynamics of single bubbles and bubble clusters including strong bubble-bubble interaction in acoustic fields and shear flows.

scholarly journals Large Scale Three-Dimensional Boundary Element Simulation of Subduction

2007 ◽  
pp. 1122-1129 ◽  
Author(s):  
Gabriele Morra ◽  
Philippe Chatelain ◽  
Paul Tackley ◽  
Petros Koumoutsakos
Keyword(s):  
Boundary Element ◽  
Large Scale ◽  
Three Dimensional ◽  
Element Simulation ◽  
Dimensional Boundary

Boundary element method in numerical study of three-dimensional Stokes flows in channels of arbitrary shape

2012 ◽  
Vol 9 (1) ◽  
pp. 94-97
Author(s):  
Yu.A. Itkulova
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Cross Section ◽  
Numerical Study ◽  
Three Dimensional ◽  
Cylindrical Tube ◽  
Variable Cross Section ◽  
Variable Cross ◽  
Periodic Flows ◽  
Element Method

In the present work creeping three-dimensional flows of a viscous liquid in a cylindrical tube and a channel of variable cross-section are studied. A qualitative triangulation of the surface of a cylindrical tube, a smoothed and experimental channel of a variable cross section is constructed. The problem is solved numerically using boundary element method in several modifications for a periodic and non-periodic flows. The obtained numerical results are compared with the analytical solution for the Poiseuille flow.

3D simulation of emulsion flow using the boundary element method on the heterogeneous computational systems

2012 ◽  
Vol 9 (1) ◽  
pp. 142-146
Author(s):  
O.A. Solnyshkina
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Three Dimensional ◽  
Reynolds Numbers ◽  
Problem Size ◽  
Low Reynolds Numbers ◽  
Infinite Domains ◽  
The Matrix ◽  
Computational Systems ◽  
Element Method

In this work the 3D dynamics of two immiscible liquids in unbounded domain at low Reynolds numbers is considered. The numerical method is based on the boundary element method, which is very efficient for simulation of the three-dimensional problems in infinite domains. To accelerate calculations and increase the problem size, a heterogeneous approach to parallelization of the computations on the central (CPU) and graphics (GPU) processors is applied. To accelerate the iterative solver (GMRES) and overcome the limitations associated with the size of the memory of the computation system, the software component of the matrix-vector product

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