2009 International Symposium on Electromagnetic Compatibility - EMC Europe, 2009
The increased use of carbon fibers composites in aeronautic industry has led to the development o... more The increased use of carbon fibers composites in aeronautic industry has led to the development of new numerical methods to understand the electromagnetic behavior of these materials. In this paper, we present a numerical model of multilayer anisotropic composites with finite element method in frequency domain. Several applications can be addressed; shielding effectiveness, HIRF, indirect effects of lightning, functional current
ABSTRACT We study the use of the retarded potential method for solving Maxwell's equation... more ABSTRACT We study the use of the retarded potential method for solving Maxwell's equations in the time domain. The method is applied with general impedance boundary condition in the presence of piecewise homogeneous dielectric material. For locally non-homogeneous material, a coupling with the local formulation can be established. In all cases, a variational formulation is written and well posedness is proved. Galerkin's approximation leads to a discrete constructive convolution scheme which proved to be unconditionally stable in practice. This approach is particularly interesting in the case of a large frequency band response. We show a comparison of the time and frequency domain approaches.
Data Revues 1631073x 03340001 02022227, Mar 22, 2008
ABSTRACT We consider the bidimensional Stokes problem for incompressible fluids in stream functio... more ABSTRACT We consider the bidimensional Stokes problem for incompressible fluids in stream function-vorticity formulation. For this problem, the classical finite elements method of degree one converges only in O(h) for the quadratic norm of the vorticity, if the domain is convex and the solution regular. We propose to use harmonic functions obtained by a simple layer potential to approach vorticity along the boundary. Numerical results are very satisfying and we prove that this new numerical scheme leads to an error of order O(h) for the natural norm of the vorticity and under more regularity assumptions from O(h3/2) to O(h2) for the quadratic norm of the vorticity. To cite this article: T. Abboud et al., C. R. Acad. Sci. Paris, Ser. I 334 (2002) 71–76
Unitary validations and a simplified infrastructure are presented to illustrate the potentialitie... more Unitary validations and a simplified infrastructure are presented to illustrate the potentialities of a workflow that allows to take into account uncertainties when studying lightning indirect effects on a system by the help of 3D Boundary Elements (BE). We first analyze, develop and compare BE soil and lightning impact models to a more usual Finite Difference Time Domain (FDTD) software. Next, BE MultiPort (MP) representation and port reduction are presented to reduce a complex problem when ports can be identified. Last, a coupling with OpenTURNS, (an uncertainty propagation software) is done and then, an illustration of a probabilistic analysis by modeling uncertainties on ports is given.
2009 International Symposium on Electromagnetic Compatibility - EMC Europe, 2009
The increased use of carbon fibers composites in aeronautic industry has led to the development o... more The increased use of carbon fibers composites in aeronautic industry has led to the development of new numerical methods to understand the electromagnetic behavior of these materials. In this paper, we present a numerical model of multilayer anisotropic composites with finite element method in frequency domain. Several applications can be addressed; shielding effectiveness, HIRF, indirect effects of lightning, functional current
ABSTRACT We study the use of the retarded potential method for solving Maxwell's equation... more ABSTRACT We study the use of the retarded potential method for solving Maxwell's equations in the time domain. The method is applied with general impedance boundary condition in the presence of piecewise homogeneous dielectric material. For locally non-homogeneous material, a coupling with the local formulation can be established. In all cases, a variational formulation is written and well posedness is proved. Galerkin's approximation leads to a discrete constructive convolution scheme which proved to be unconditionally stable in practice. This approach is particularly interesting in the case of a large frequency band response. We show a comparison of the time and frequency domain approaches.
Data Revues 1631073x 03340001 02022227, Mar 22, 2008
ABSTRACT We consider the bidimensional Stokes problem for incompressible fluids in stream functio... more ABSTRACT We consider the bidimensional Stokes problem for incompressible fluids in stream function-vorticity formulation. For this problem, the classical finite elements method of degree one converges only in O(h) for the quadratic norm of the vorticity, if the domain is convex and the solution regular. We propose to use harmonic functions obtained by a simple layer potential to approach vorticity along the boundary. Numerical results are very satisfying and we prove that this new numerical scheme leads to an error of order O(h) for the natural norm of the vorticity and under more regularity assumptions from O(h3/2) to O(h2) for the quadratic norm of the vorticity. To cite this article: T. Abboud et al., C. R. Acad. Sci. Paris, Ser. I 334 (2002) 71–76
Unitary validations and a simplified infrastructure are presented to illustrate the potentialitie... more Unitary validations and a simplified infrastructure are presented to illustrate the potentialities of a workflow that allows to take into account uncertainties when studying lightning indirect effects on a system by the help of 3D Boundary Elements (BE). We first analyze, develop and compare BE soil and lightning impact models to a more usual Finite Difference Time Domain (FDTD) software. Next, BE MultiPort (MP) representation and port reduction are presented to reduce a complex problem when ports can be identified. Last, a coupling with OpenTURNS, (an uncertainty propagation software) is done and then, an illustration of a probabilistic analysis by modeling uncertainties on ports is given.
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Papers by Toufic Abboud