B-spline wavelet boundary element method for three-dimensional problems

In this paper, two different 3D hydrofoils with profiles NACA0012 are simulated in the potential flow. Boundary element method (BEM) and nonuniform rational B-spline (NURBS) are coupled to reduce error and increase accuracy. The computer code is developed in different submergence depths (d), flow velocities (U), and various angles of attack (AoA), and the pressure is obtained by NURBS formulation. The pressure on a 3D hydrofoil with NACA412 profile iscompared with other existing methods. The validity of result is revealed. The accuracy of the results is acceptable. The competition of the two models’ results indicates that the increasing chord length leads to increase in C p min , and the decrease in depth and angle of attack leads to the growing value of C p min . Moreover, when the flow velocity is changed, the changes of potential and pressure coefficient distribution do not follow the specific trend. NURBS is a basic equation in different CAD packages because it is able to mesh surfaces. This study demonstrates that this algorithm does mesh surface of high quality, so it can be developed to generate mesh on the submerged three-dimensional bodies .

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

Proceedings of the Mavlyutov Institute of Mechanics ◽

10.21662/uim2012.1.018 ◽

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.

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

Proceedings of the Mavlyutov Institute of Mechanics ◽

10.21662/uim2012.1.028 ◽

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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Efficient evaluation of integrals in three-dimensional boundary element method using linear shape functions over plane triangular elements

Applied Mathematical Modelling ◽

10.1016/0307-904x(92)90046-6 ◽

1992 ◽

Vol 16 (6) ◽

pp. 282-290 ◽

Cited By ~ 6

Author(s):

Rajesh Srivastava ◽

Dinshaw N. Contractor

Keyword(s):

Boundary Element Method ◽

Boundary Element ◽

Three Dimensional ◽

Shape Functions ◽

Dimensional Boundary ◽

Triangular Elements ◽

Linear Shape ◽

Element Method

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

Journal of Fluids Engineering ◽

10.1115/1.1511166 ◽

2002 ◽

Vol 124 (4) ◽

pp. 988-993 ◽

Cited By ~ 16

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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