CFS-PML-DEC formulation in two-dimensional convex and non-convex domains
| Autor: | Werley G. Facco, Elson J. Silva, Alex S. Moura, Rodney R. Saldanha |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
010302 applied physics
Attenuation function Mathematical analysis Boundary curve Regular polygon 020206 networking & telecommunications 02 engineering and technology 01 natural sciences Mathematics::Numerical Analysis k-nearest neighbors algorithm Computational Mathematics Formalism (philosophy of mathematics) Perfectly matched layer Discrete exterior calculus Computational Theory and Mathematics Modeling and Simulation 0103 physical sciences 0202 electrical engineering electronic engineering information engineering Time domain Mathematics |
| Zdroj: | Computers & Mathematics with Applications. 76:172-178 |
| ISSN: | 0898-1221 |
| DOI: | 10.1016/j.camwa.2018.04.012 |
| Popis: | In this paper, the time domain Maxwell’s equations are solved using the discrete exterior calculus (DEC) formalism in the two-dimensional space. To truncate the computational domain, the complex frequency-shifted perfectly matched layer (CFS-PML) concept is applied to create a reflectionless artificial layer. The paper presents a new numerical procedure to easily implement the CFS-PML with curved inner boundary. In order to numerically realize the PML, in a simplicial mesh, this paper proposes to utilize the nearest neighbor algorithm to associate point sets to boundary points. The distance from points to the boundary curve defines the attenuation function inside the PML. The performance of the approach is assessed by measuring the reflection error for three numerical experiments. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect