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Numerical simulation of 2D electrodynamic problems with unstructured triangular meshes

Fadeev D.A.

Institute of Applied Physics RAS

 PDF, 1127 kB

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:

  1. 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.
  2. 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.
  3. 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.
  4. 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.
  5. 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.
  6. 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.
  7. 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.
  8. 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.
  9. 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.
  10. 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.
  11. 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.
  12. 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.
  13. 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.
  14. 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.
  15. Taflove, A. Computational electrodynamics: The finite-difference time-domain method / A. Taflove, S. Hagness. – 3rd ed. – Boston, London: Arthech House Publishers; 2005. – 852 p.
  16. Aurenhammer, F. Voronoi diagrams and Delaunay triangulations / F. Aurenhammer, R. Klein, D.-T. Lee. – World Scientific, 2013. – 337 p. – ISBN: 978-9814447638.
  17. Birdsall, CK. Plasma physics via computer simulations / C.K. Birdsall, A.B. Langdon. – McGraw-Hill Book Company, 1985. – P. 56.
  18. Dynamics of EMP in the presence of metallic particle [Electronical Resource]. – URL: https://www.youtu­be.com/watch?v=SryTESknKDE (request date 10.05.2019).
  19. 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?
  20. Source code [Electronical Resource]. – URL: https://github.com/dafadey/hed.git (request date 10.05.2019).

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