Abstract
Experimental observations indicate that electromagnetic (EM) radiation is emitted after the detonation of high explosives (HE) charges. The movement of ionized atoms, particles and electrons seems to be the underlying cause. Expansion of the detonation products (DP) drives a strong (~1 kb) shock in surrounding air. This forms an intense thermal wave (T ~11,000 K) with duration of ~20 microseconds. Such temperatures create significant ionization of the air. According to Ohm’s Law, movement of ionized patches generates current; and according to the Biot-Savart Law, such currents induce electric and magnetic fields. We investigate these effects through numerical simulations of TNT explosions. A high-order Godunov scheme is used to integrate the one-dimensional conservation laws of gasdynamics. An extremely fine grid (10 microns) was needed to get converged temperature and conductivity profiles. The gasdynamic solution provided a source current, which was fed into a time-domain Green’s function code to predict three-dimensional electromagnetic waves emanating from the TNT explosion. This analysis clearly demonstrates one mechanism—the Boronin current—as the source of EM emissions from TNT explosions, but other mechanisms are also possible.
Highlights
Poisson equation is used to describe, in quantitative manner, electrostatic and magnetostatic phenomena
We focus on the Poisson equation (1D), in the two boundary problems: Neumann-Dirichlet (ND) and Dirichlet-Neumann (DN), using the Finite Difference Method (FDM)
Thereafter, we discuss the properties of the associated matrix and determine its inverse, exactly and independently of the Right-Hand Side (RHS)
Summary
Poisson equation is used to describe, in quantitative manner, electrostatic and magnetostatic phenomena. A recent study [1], concerning the case of one dimension, has proposed a direct, exact, and closed formulation of the inverse matrix; independently on the RHS This inverse matrix has allowed getting a new, extremely fast solution to the Poisson equation. This innovative solution, obtained with the finite difference method, discussed only the case of boundary conditions of type: Dirichlet-Dirichlet (DD). Thereafter, we discuss the properties of the associated matrix and determine its inverse, exactly and independently of the RHS This will allow a direct and exact formulation of the solution to the Poisson equation for a 1D problem with ND boundary conditions. The interesting properties of this matrix allow us to get the closed formulation of the solution, directly without matrix multiplication
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Journal of Electromagnetic Analysis and Applications
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
