Numerical simulation of 2D electrodynamic problems with unstructured triangular meshes

Numerical simulation of 2D electrodynamic problems with unstructured triangular meshes

We present a generalization of standard leap-frog plus Yee mesh approach for Cauchy problem in electrodynamics simulations on unstructured triangulated mesh. The presented approach still inherits from finite-difference time-domain and do not use techniques developed in finite-volume time-domain appr...

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Main Author: Daniil Fadeev
Format: Article
Language:English
Published: Samara National Research University 2019-06-01
Series:Компьютерная оптика
Subjects:
numerical approximation and analysis
mathematical methods in physics
computational electromagnetic methods
Online Access:http://computeroptics.smr.ru/KO/PDF/KO43-3/430306.pdf
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spelling doaj-f36c51bfe6eb411289503c4e46198a8d2020-11-24T21:50:23ZengSamara National Research UniversityКомпьютерная оптика0134-24522412-61792019-06-0143338539010.18287/2412-6179-2019-43-3-385-390Numerical simulation of 2D electrodynamic problems with unstructured triangular meshesDaniil Fadeev0Institute of Applied Physics RAS, Nizhny Novgorod, RussiaWe present a generalization of standard leap-frog plus Yee mesh approach for Cauchy problem in electrodynamics simulations on unstructured triangulated mesh. The presented approach still inherits from finite-difference time-domain and do not use techniques developed in finite-volume time-domain approach. In the paper the whole flow from mesh creation to actual simulation is presented. The proposed computation flow is parallel ready and can be implemented for distributed systems (computation servers, graphical processing units, etc.). We studied the influence of non-regular triangulation on stability and dispersion properties of numerical solution.http://computeroptics.smr.ru/KO/PDF/KO43-3/430306.pdfnumerical approximation and analysismathematical methods in physicscomputational electromagnetic methods
collection DOAJ
language English
format Article
sources DOAJ
author Daniil Fadeev
spellingShingle Daniil Fadeev
Numerical simulation of 2D electrodynamic problems with unstructured triangular meshes
Компьютерная оптика
numerical approximation and analysis
mathematical methods in physics
computational electromagnetic methods
author_facet Daniil Fadeev
author_sort Daniil Fadeev
title Numerical simulation of 2D electrodynamic problems with unstructured triangular meshes
title_short Numerical simulation of 2D electrodynamic problems with unstructured triangular meshes
title_full Numerical simulation of 2D electrodynamic problems with unstructured triangular meshes
title_fullStr Numerical simulation of 2D electrodynamic problems with unstructured triangular meshes
title_full_unstemmed Numerical simulation of 2D electrodynamic problems with unstructured triangular meshes
title_sort numerical simulation of 2d electrodynamic problems with unstructured triangular meshes
publisher Samara National Research University
series Компьютерная оптика
issn 0134-2452
2412-6179
publishDate 2019-06-01
description We present a generalization of standard leap-frog plus Yee mesh approach for Cauchy problem in electrodynamics simulations on unstructured triangulated mesh. The presented approach still inherits from finite-difference time-domain and do not use techniques developed in finite-volume time-domain approach. In the paper the whole flow from mesh creation to actual simulation is presented. The proposed computation flow is parallel ready and can be implemented for distributed systems (computation servers, graphical processing units, etc.). We studied the influence of non-regular triangulation on stability and dispersion properties of numerical solution.
topic numerical approximation and analysis
mathematical methods in physics
computational electromagnetic methods
url http://computeroptics.smr.ru/KO/PDF/KO43-3/430306.pdf
work_keys_str_mv AT daniilfadeev numericalsimulationof2delectrodynamicproblemswithunstructuredtriangularmeshes
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