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| B. Engenharias - 1. Engenharia - 8. Engenharia Elétrica | ||
| FINITE ELEMENT ANALYSIS OF ELECTROMAGNETIC WAVE PROPAGATION AND SCATTERING PROBLEMS USING EDGE ELEMENTS | ||
| João Souza Dias Garcia 1, 2 (joao@grucad.ufsc.br), Ralf Jacobs 3, Arnulf Kost 4 e João Pedro Assumpção Bastos 5, 6 | ||
| (1. Undergraduate student, Universidade Federal de Sta. Catarina - UFSC.; 2. Intern, Lehrstuhl Allgemeine Elektrotechnik, BTU-Cottbus, Germany.; 3. Researcher, Lehrstuhl Allgemeine Elektrotechnik, BTU-Cottbus, Germany.; 4. Professor, Lehrstuhl Allgemeine Elektrotechnik, BTU-Cottbus, Germany.; 5. Professor, Department of Electrical Eng., Univ. Federal de Sta. Catarina - UFSC.; 6. Researcher, Grupo de Concepção e Análise de Dispositivos Eletromagnéticos - UFSC.) | ||
| INTRODUÇÃO:
The aim of the project is the numerical analysis of two-dimensional electromagnetic scattering problems using the method of finite elements. Two problems are investigated; wave propagation through a unitsquare and scattering by a perfectly conducting cylinder. Special consideration is directed towards mesh refinement and accuracy improvement. |
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| METODOLOGIA:
The finite element procedure is derived for the wave equation of the electric field using the weighted residual method. Vectorial edge elements are utilised to ensure tangential continuity of the fields without imposing constraints on the normal components. This technique circumvents the appearance of non-physical solutions to the problem which can occur with conventional nodal based elements. Initially a wave propagating through a unitsquare has been computed in order to establish the accuracy of the implementation and to analyse the impact of the size of the elements. Subsequently higher order elements have been implemented and the scattering of a perfectly conducting cylinder has been analysed. For this second problem, the Perfectly Matched Layer (PML) is used to artificially truncate the computational domain outside the cylinder. |
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| RESULTADOS:
The simulated results clearly reflect the expected tendency that the accuracy of the solution increases if the size of the elements decreases. A similar effect can be observed when the element order is increased. Both refinement techniques increase the number of unknowns in the resulting system matrix to be solved, which in turn affects the memory demand and the required computation time. Simulation results have shown that a minimum of ten element per wavelength are necessary to obtain accurate results. |
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| CONCLUSÕES:
A finite element procedure has been implemented to analyse two-dimensional electromagnetic scattering problems. The effect of the element size has been investigated, higher order elements have been implemented, and a Perfectly Matched Layer has been used to terminate the discretization of the domain. The simulated results reflect the coherence between the degrees of freedom and the correctness of the solution, and show the capability of the implemented finite element procedure to solve scattering problems with great accuracy. |
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| Instituição de fomento: Lehrstuhl Allgemeine Elektrotechnik und Feldberechnung, BTU-Cottbus, Germany. | ||
| Trabalho de Iniciação Científica | ||
| Palavras-chave: Computational electromagnetics; Edge-elements; Scattering. | ||
| Anais da 57ª Reunião Anual da SBPC - Fortaleza, CE - Julho/2005 |