scholarly journals A Coupling between Integral Equations and On-Surface Radiation Conditions for Diffraction Problems by Non Convex Scatterers

Mathematics ◽  
2021 ◽  
Vol 9 (18) ◽  
pp. 2299
Author(s):  
Saleh Mousa Alzahrani ◽  
Xavier Antoine ◽  
Chokri Chniti
Keyword(s):  
Radiation Condition ◽  
Surface Radiation ◽  
Surface Integral ◽  
Scattering Problems ◽  
Operator Representation ◽  
Convex Part ◽  
Coupling Procedure ◽  
Surface Operator ◽  
Radiation Conditions ◽  
Improved Accuracy

The aim of this paper is to introduce an orignal coupling procedure between surface integral equation formulations and on-surface radiation condition (OSRC) methods for solving two-dimensional scattering problems for non convex structures. The key point is that the use of the OSRC introduces a sparse block in the surface operator representation of the wave field while the integral part leads to an improved accuracy of the OSRC method in the non convex part of the scattering structure. The procedure is given for both the Dirichlet and Neumann scattering problems. Some numerical simulations show the improvement induced by the coupling method.

scholarly journals The Computation of the Magnitude of the Far Field for an Eccentric Circular Cylinder

2015 ◽  
Vol 2015 ◽  
pp. 1-8
Author(s):  
Bülent Yılmaz
Keyword(s):  
Circular Cylinder ◽  
Plane Wave ◽  
Radiation Condition ◽  
Higher Order ◽  
Numerical Results ◽  
Surface Radiation ◽  
Far Field ◽  
Condition Method ◽  
Radiation Conditions

The specific case of scattering of a plane wave by a two-layered penetrable eccentric circular cylinder has been considered and it is about the validity of the on surface radiation condition method and its applications to the scattering of a plane wave by a two-layered penetrable eccentric circular cylinder. The transformation of the problem of scattering by the eccentric circular cylinder to the problem of scattering by the concentric circular cylinder by using higher order radiation conditions, is observed. Numerical results presented the magnitude of the far field.

The Effect of Wave Number on the Performance of BGT Absorbing Boundary Conditions for Acoustic Scattering

2000 ◽  
Author(s):  
Isaac Harari ◽  
Rabia Djellouli
Keyword(s):  
Boundary Conditions ◽  
Computational Cost ◽  
Acoustic Scattering ◽  
Absorbing Boundary Conditions ◽  
Surface Radiation ◽  
Wave Number ◽  
Scattering Problems ◽  
Absorbing Boundary ◽  
Practical Applications ◽  
Radiation Conditions

Abstract The computation of exterior wave problems at low wave numbers can become prohibitively expensive when higher circumferential modes are significant. An analysis of the effect of wave number on scattering problems, with local absorbing boundary conditions specified on simple shapes as on-surface radiation conditions, provides guidelines for satisfactory performance. Excessive computational cost may be avoided for most practical applications.

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