A Three-Dimensional, Vector, Boundary Element Formulation for Multiport Scattering.

1987 ◽  
Author(s):  
Michael L. Tracy
Keyword(s):  
Boundary Element ◽  
Three Dimensional ◽  
Element Formulation ◽  
Dimensional Vector

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.

Boundary Element Formulation for Numerical Surface Wave Modelling in Poroviscoelastisity

2016 ◽  
Vol 685 ◽  
pp. 172-176 ◽  
Author(s):  
Leonid Igumnov ◽  
S.Yu. Litvinchuk ◽  
A.A. Belov ◽  
A.A. Ipatov
Keyword(s):  
Boundary Element ◽  
Boundary Integral Equations ◽  
Three Dimensional ◽  
Boundary Integral ◽  
Dynamic Responses ◽  
Element Formulation ◽  
Weakly Singular Kernel ◽  
Viscoelastic Parameters ◽  
Viscoelastic Effects ◽  
Biot’S Equations

Problems of the poroviscodynamics are considered. Theory of poroviscoelasticity is based on Biot’s equations of fluid saturated porous media under assumption that the skeleton is viscoelastic. Viscoelastic effects of solid skeleton are modeled by mean of elastic-viscoelastic correspondence principle, using such viscoelastic models as a standard linear solid model and model with weakly singular kernel. The fluid is taken as original in Biot’s formulation without viscoelastic effects. Boundary integral equations method is applied to solve three-dimensional boundary-value problems. Boundary-element method with mixed discretization and matched approximation of boundary functions is used. Solution is obtained in Laplace domain, and then Durbin’s algorithm of numerical inversion of Laplace transform is applied to perform solution in time domain. An influence of viscoelastic parameters on dynamic responses is studied. Numerical example of the surface waves modelling is considered.

Dynamic Response of Three-Dimensional Multi-Domain Piezoelectric Structures via BEM

2018 ◽  
Vol 769 ◽  
pp. 317-322
Author(s):  
Leonid A. Igumnov ◽  
Ivan Markov ◽  
Aleksandr Lyubimov ◽  
Valery Novikov
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Piezoelectric Materials ◽  
Domain Boundary ◽  
Three Dimensional ◽  
Element Formulation ◽  
Laplace Domain ◽  
Piezoelectric Structures ◽  
Singular Representation ◽  
Element Method

In this paper, a Laplace domain boundary element method is applied for transient dynamic analysis of three-dimensional multi-domain linear piezoelectric structures. Piezoelectric materials of homogeneous sub-domains may have arbitrary degree of anisotropy. The boundary element formulation is based on a weakly singular representation of the piezoelectric boundary integral equations in the Laplace domain. To compute the time-domain solutions a convolution quadrature formula is applied for the numerical inversion of Laplace transform. Presented multi-domain boundary element method is tested on a three-dimensional problem of nonhomogeneous column which is made of two dissimilar piezoelectric materials and subjected to dynamic impact loading.

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