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

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.

scholarly journals THE APPLICATION OF THE BOUNDARY ELEMENT METHOD TO SOLVE VISCOUS FLOW PROBLEMS BASED ON PRIMITIVE VARIABLES FORMULATION

2004 ◽  
Vol 3 (1) ◽  
pp. 68
Author(s):  
M. F. C. L. Santos ◽  
J. R. Barbosa ◽  
H. F. F. M. Carneiro
Keyword(s):  
Fluid Flow ◽  
Boundary Element Method ◽  
Boundary Element ◽  
Reynolds Numbers ◽  
Navier Stokes ◽  
Driven Cavity ◽  
Low Reynolds Numbers ◽  
Flow Problems ◽  
Simple Flow ◽  
Element Method

The boundary element method is applied to the solution of incompressible fluid flow problems governed by the continuity and Navier-Stokes equations. The differential equations are transformed into integral equations. Indication of the transformation is given in detail. Application to simple flow cases such as the driven cavity and forward facing step is presented. Convergence difficulties are indicated, which have limited the applications to flows of low Reynolds numbers..

Numerical study of the deformation and rheology characteristics of the emulsion droplets using the boundary element method

2014 ◽  
Vol 10 ◽  
pp. 7-12
Author(s):  
O.A. Abramova ◽  
Yu.A. Itkulova ◽  
N.A. Gumerov ◽  
I.Sh. Ahatov
Keyword(s):  
Boundary Element Method ◽  
Shear Flow ◽  
Boundary Element ◽  
Numerical Study ◽  
Numerical Technique ◽  
Reynolds Numbers ◽  
Low Reynolds Numbers ◽  
Emulsion Droplets ◽  
Cuda Technology ◽  
Element Method

The present paper is dedicated to the investigation of the 3D dynamics of two viscous immiscible liquids in an unbounded domain at low Reynolds numbers. The numerical technique is based on the boundary element method. To accelerate the calculations and increase the problem scale the parallelization of computations on graphic processors (GPU) using CUDA technology is used. The inclination angle and the deformation of droplets in a shear flow at various parameters are studied. The obtained results are compared with the experimental data represented in the literature, numerical results and the small deformations theory. The calculation of rheological characteristics for dilute emulsions in shear flow is carried out for different viscosity ratios of internal and external liquids.

scholarly journals THE APPLICATION OF THE BOUNDARY ELEMENT METHOD TO SOLVE VISCOUS FLOW PROBLEMS BASED ON PRIMITIVE VARIABLES FORMULATION

2004 ◽  
Vol 3 (1) ◽  
Author(s):  
M. F. C. L. Santos ◽  
J. R. Barbosa ◽  
H. F. F. M. Carneiro
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Stokes Equations ◽  
Reynolds Numbers ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Driven Cavity ◽  
Low Reynolds Numbers ◽  
Flow Problems ◽  
Element Method

The boundary element method is applied to the solution of incompressible fluid flow problems governed by the continuity and Navier-Stokes equations. The differential equations are transformed into integral equations. Indication of the transformation is given in detail. Application to simple flow cases such as the driven cavity and forward facing step is presented. Convergence difficulties are indicated, which have limited the applications to flows of low Reynolds numbers..

A New Boundary Element Method for Three-Dimensional Coupled Problems of Consolidation and Thermoelasticity

1991 ◽  
Vol 58 (1) ◽  
pp. 28-36 ◽  
Author(s):  
G. F. Dargush ◽  
P. K. Banerjee
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Time Domain ◽  
Three Dimensional ◽  
General Boundary ◽  
Coupled Problems ◽  
Infinite Domains ◽  
Element Approach ◽  
The Time Domain ◽  
Element Method

A general boundary element method (BEM) for the complete three-dimensional Biot consolidation theory is developed which operates directly in the time domain and requires only boundary discretization. Consequently, the dimensionality of the problem is reduced by one and the method becomes quite attractive for geotechnical analyses, particularly those that involve extensive or infinite domains. Furthermore, as a result of a well-known analogy fully elaborated here, the new BEM formulation is equally applicable for quasi-static thermoelasticity. Several detailed examples are presented to illustrate the accuracy and suitability of this boundary element approach for both consolidation and thermomechanical analyses.

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.

Reduced-Order Modeling of Unsteady Flows About Complex Configurations Using the Boundary Element Method

2002 ◽  
Vol 124 (4) ◽  
pp. 988-993 ◽  
Author(s):  
V. Esfahanian ◽  
M. Behbahani-nejad
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Three Dimensional ◽  
Unsteady Flows ◽  
Reduced Order Modeling ◽  
Element Formulation ◽  
Reduced Order Models ◽  
Reduced Order ◽  
Naca 0012 ◽  
Element Method

An approach to developing a general technique for constructing reduced-order models of unsteady flows about three-dimensional complex geometries is presented. The boundary element method along with the potential flow is used to analyze unsteady flows over two-dimensional airfoils, three-dimensional wings, and wing-body configurations. Eigenanalysis of unsteady flows over a NACA 0012 airfoil, a three-dimensional wing with the NACA 0012 section and a wing-body configuration is performed in time domain based on the unsteady boundary element formulation. Reduced-order models are constructed with and without the static correction. The numerical results demonstrate the accuracy and efficiency of the present method in reduced-order modeling of unsteady flows over complex configurations.

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