VANT. Ser.: Mat. Mod. Fiz. Proc. 2021. No 3. P. 42-58.
I. V. Dolzhenkov, N. A. Kravets, A. V. Soldatov, E. S. Stolmakova
VANT. Ser.: Mat. Mod. Fiz. Proc 2021. Вып.3. С. 34-41.
A computational method based on the numerical solution of homogeneous 3D Maxwell´s equations in elliptic coordinates for the electrodynamics simulation in the cavity of ellipsoid of revolution is presented. The electromagnetic field sources are specified as boundary conditions on the interior surface of ellipsoid. Natural boundary conditions are used on the ellipsoid symmetry axis: 1) the electromagnetic and magnetic field components must remain limited; 2) vector components of the electromagnetic and magnetic fields oriented along axis of symmetry must not depend on the azimuthal angle. Approximating formulas for spatial derivatives have been developed on the base of integral consequences of Maxwell’s equations written for elementary difference-grid cells. For the time approximation of derivatives, the coordinate-wise splitting method is used. The resultant equations in each stage are solved with the sweep method. The proposed method applicability and accuracy are demonstrated by results of computations for an informative problem having an analytical solution. Keywords: ultrawideband electromagnetic radiation, elliptic system of coordinates, Makswell´s equations, numerical simulation.
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