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Showing 1 to 16 of 16 for “"Boundary integral method"”.
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Boundary Integral Method for Interfacial Potential Flows in Unbounded Axi-Symmetric Domains
While the objective is to explore alternative damage mechanisms due to ultrasound, the work is not restricted as such. Indeed, the work is concerned with surface tension driven singularities at fluid interface in general. Within this study, different regimes are found and the conditions which …
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A Higher -Order Finite Element: Boundary Integral Method for Electromagnetic Scattering and Radiation From Bodies of Revolution
The hybrid finite element - boundary integral method (FE-BI) is used to compute the radar cross section (RCS) and radiated fields of bodies of revolution (BOR). This is a 2.5-D problem since it allows simulations in a 2-D domain to correspond to a full 3-D object. The interior region, which …
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Bandwidth enhancement techniques for low-profile antennas: Theory and experiment
… enhancement for low-profile antennas. The first method involves the use of coupled resonators. In particular, two cavity-backed slot antennas are coupled through an aperture in a common wall. One cavity-backed slot antenna, of the coupled antenna system, is driven. This coupled antenna system is …
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Convective mass transport for viscous flow past an evolving boundary
"A Boundary Integral-Spectral Element method is developed that solves two-dimensional Helmholtz equations. This high order technique is shown to be adaptable to a variety of boundary conditions and solves elliptic partial differential equations efficiently such that it is applicable to moving …
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Droplets in an Electric Field: Surface Rheology, Coalescence and Rebound
… retard the deformation dynamics. We developed a boundary integral method that simulates the dynamic interfacial deformation of a perfectly conducting droplet in a dielectric in a uniform field. A range of initial surfactant surface concentrations are studied, with elasticity proportional to …
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Spectral Properties of Magnetic Edge States
… billiards. To quantize the billiards, the boundary integral method is extended to the magnetic problem and to general boundary conditions. By virtue of an analytical regularization of the (hyper-)singular integral operators, we obtain for the first time precise quantum spectra even in the …
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Periodic cell models of flow through porous media
… geometries is accomplished through the boundary-integral method. Results are discussed in the context of macroscopic approaches such as slip coefficients and Brinkman's equation. In Part 2, calculations are presented for a periodic three-dimensional model of porous media consisting of …
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Three-Dimensional Analysis of Wave Attenuation by Anchored Hemicylindrical Shell
… The fluid flow is analyzed using a boundary integral method and the integral equation is solved numerically by a panel method. The vibration characteristics of the structure are analyzed both in the absence and presence of water. The hydrodynamic coefficients, forces, and the dynamic …
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Three-Dimensional Analysis of Moored Cylinders Used as Breakwaters
… as the gradient of the velocity potential. A boundary integral method is used to solve the integral equations that define the external fluid flow. Free vibrations of the cylinder in both air and water are considered and "dry " and "wet" natural frequencies are computed. Motions caused by water …
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Displacement of Fluid Droplets From Solid Surfaces
… study employing a spectral implementation of the boundary integral method for Stokes flow. In these computations, we develop a novel Newton iteration algorithm which allows us to determine equilibrium interfaces in low Re flows. In earlier studies, the treatment of the contact line has been …
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Fast Large-Scale Electromagnetic Simulation of Doubly Periodic Structures in Layered Media
… problems can be solved by rigorous numerical methods like finite-difference time-domain (FDTD) method and finite element method (FEM). However, FDTD and FEM are universal methods far from achieving the best efficiency for the target problem. To exploit the problem property and facilitate the …
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A new hybrid numerical scheme for simulating fault ruptures with near fault bulk inhomogeneities
"The Finite Difference (FD) and the Boundary Integral (BI) Method have been used extensively to model spontaneously propagating shear cracks in a variety of engineering and geophysical applications. While FD has a large computational cost as it requires the discretization of the whole volume of …
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Analytical and numerical techniques for wave scattering
… classed into two categories: analytically based methods which use special transforms and functions to provide a near-complete mathematical description of the scattering process, and numerical techniques which select an approximate solution from a general finite-dimensional space of possible …
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On the rolling motion of viscous fluid on a rigid surface
… an incompressible Newtonian fluid and a no-slip boundary condition is enforced at the solid boundary, the non-integrable stress singularity arises at the contact line, which is physically unrealistic. The contact angle of 180 is considered as a special case in which the singularity is absent. The …
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A numerical method for electro-kinetic flow with deformable interfaces
… and accurate 'hybrid' or multiscale numerical method. The method incorporates an asymptotic analysis of the electric potential and fluid dynamics in the Debye layer into a boundary integral numerical solution of the full moving boundary problem. We present solutions for the quasi-steady state …
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Computational methods for two-phase flow with soluble surfactant
… significant challenge for traditional numerical methods, since it implies that large gradients of bulk surfactant concentration can develop in a spatially narrow boundary or transition layer adjacent to the drop interface. The layer structure needs to be resolved accurately so that the …