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Numerical simulation of 2D electrodynamic problems with unstructured  triangular meshes
Fadeev D.A.
Institute of Applied  Physics RAS
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DOI: 10.18287/2412-6179-2019-43-3-385-390
Страницы: 385-390.
Аннотация:
  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.
Ключевые слова:
numerical  approximation and analysis, mathematical methods in physics, computational  electromagnetic methods
Цитирование: 
Fadeev, D.A. Numerical simulation of  2D electrodynamic problems with unstructured triangular meshes / D.A. Fadeev // Computer Optics. – 2019.  – Vol. 43(3). – P. 385-390. – DOI:  10.18287/2412-6179-2019-43-3-385-390.
Литература:
  - Yee, K.S. Numerical solution of initial boundary value  problems involving maxwell's equations in isotropic media / K.S. Yee //  IEEE Transactions on Antennas and Propagation. – 1966. – Vol. 14,  Issue 3. – P. 302-307.
- Kolesik, M. Nonlinear optical pulse  propagation simulation: From Maxwell’s to unidirectional equations /  M. Kolesik, J.V. Moloney // Physical Review E. – 2004. – Vol. 70.  – 036604.
- Skobelev, S.A. Few-optical-cycle solitons and pulse self-compression in a Kerr medium / S.A. Skobelev,  D.V. Kartashov, A.V. Kim // Physical Review Letters. – 2007. – Vol. 99,  Issue 20. – 203902.
 
- Kosareva, O.G. Can we reach very high intensity in air with femtosecond PW laser pulses? /  O.G. Kosareva, W. Liu. N.A. Panov, J. Bernhardt, Z. Ji,  M. Sharifi, R. Li, Z. Xu, J. Liu, Z. Wang, J. Ju,  X. Lu, Y. Jiang, Y. Leng, X. Liang, V.P. Kandidov,  S.L. Chin // Laser Physics. – 2009. – Vol. 19. – P. 1776-1792.
 
- Dey, I.  Highly efficient broadband terahertz generation from ultrashort laser filamentation  in liquids / I. Dey, K. Jana, V.Yu. Fedorov,  A.D. Koulouklidis, A. Mondal, M. Shaikh, D. Sarkar,  A.D. Lad, S. Tzortzakis, A. Couairon, and G.R. Kumar // Nature  Communications. – 2017. – Vol. 8. – 1184. 
 
- Déchard, J. Terahertz pulse generation in underdense relativistic plasmas: From  photoionization-induced radiation to coherent transition radiation /  J. Déchard, A. Debayle, X. Davoine, L. Gremillet,  L. Bergé // Physical Review Letters. – 2018. – Vol. 120. – 144801.
 
- Fadeev, D.A. Terahertz emission from metal nanoparticle array / D.A. Fadeev,  I.V. Oladyshkin, V.A. Mironov // Optics Letters. – 2018. – Vol. 43.  – P. 1939-1942.
 
- Nesterenko, D.V. Hybrid finite element method and boundary  element method for analysis of light diffraction on diffraction gratings [In  Russian] / D.V. Nesterenko, V.V. Kotlyar // Computer Optics. – 2008.  – Vol. 32. Issue 3. – P. 238-245.
 
- Sprangle, P. Ultrashort laser pulses and electromagnetic pulse generation in air and on  dielectric surfaces / P. Sprangle, J.R. Peñano, B. Hafizi, C.A. Kapetanakos  // Physical Review E. – 2004. – Vol. 69. – 066415.
 
- Leuchtmann, P. Comparison of errors and stability in FDTD and FVTD / P. Leuchtmann,  C. Fumeaux, D. Baumann // Advances in Radio Science. – 2003. – Vol. 1.  – P. 87-92.
 
- Fumeaux, C. The finite-volume time-domain method for 3D solutions of Maxwell’s equations in  complex geometries: a review / C. Fumeaux, D. Baumann,  K. Sankaran, K. Krohne,  R. Vahldieck, E. Li // Proceedings of the European Microwave Association  – 2007. – Vol. 3. – P. 136-146.
 
- Gansen, A. EM modelling of arbitrary shaped  anisotropic dielectric objects using an efficient 3D leapfrog scheme on unstructured  meshes / A. Gansen, M. El Hachemi, S. Belouettar, O. Hassan,  K. Morgan // Computational Mechanics. – 2016. – Vol. 58. – P. 441-455. 
 
- Keranen, J. Implicit Yee-Like Scheme on Tetrahedral  Mesh / J. Keranen, J. Kanagas, A. Ahola, L. Kettunen // IEEE Transactions on  magnetics. – 2002. – Vol. 38, Issue 2. – P. 717-720. 
 
- Monk, P. Error estimates for Yee's method on  non-uniform grids / P. Monk, E. Suli  // IEEE Works on Magnetic. – 1994. – Vol. 30, Issue 5. –  P. 3200-3203. 
 
- Taflove, A. Computational electrodynamics: The  finite-difference time-domain method / A. Taflove, S. Hagness. – 3rd  ed. – Boston, London: Arthech House Publishers; 2005. – 852 p.
 
- Aurenhammer, F. Voronoi diagrams  and Delaunay triangulations / F. Aurenhammer, R. Klein,  D.-T. Lee. – World Scientific, 2013. – 337 p. – ISBN: 978-9814447638.
 
- Birdsall, CK. Plasma physics via computer simulations  / C.K. Birdsall, A.B. Langdon. – McGraw-Hill Book Company, 1985. – P. 56.
 
- Dynamics  of EMP in the presence of metallic particle [Electronical Resource]. – URL: https://www.youtube.com/watch?v=SryTESknKDE  (request date 10.05.2019).
 
- Delaunay, B.  Sur la sphère vide. A la mémoire de Georges Voronoi / B. Delaunay // Bulletin de l'Académie des Sciences de l'URSS,  Classe des sciences mathématiques et naturelles. – 1934. – Vol. 6. – P. 793-800. Why GitHub? 
- Source code [Electronical Resource]. – URL: https://github.com/dafadey/hed.git  (request date 10.05.2019).
  
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