“…The processes of interaction of radiation with matter have a cascade character. The algorithms of statistical modeling of such processes are considered in detail in the works [14,15]. These papers describe effective statistical algorithms for mathematical modeling of cascade radiation transport processes using hybrid computing technology.…”
Section: Modeling Of Radiation Transport In a Fine-dispersed Mediummentioning
confidence: 99%
“…Finite-difference analogs of equations (3)(4)(5)(6)(7)(8) are given in [20]. The constructed numerical algorithm is implemented in the form of a software module focused on multiprocessor computing equipment [20] using MPI parallelization technology.…”
Section: Numerical Algorithm For Solving Maxwell's Equationsmentioning
confidence: 99%
“…The investigations of radiation-induced (electromagnetic radiation, laser radiation, penetrating radiation) effects in media of complex geometrical structure are actual for a lot of applications: interaction EMP with objects [1], plasma generation and relaxation [2], ionizing radiation interaction with matter [3][4][5] and many others. Mathematical modeling is an effective method to such investigation [6][7][8].…”
Algorithms for supercomputer modeling of the radiation electromagnetic field in heterogeneous materials of a complex finely-dispersed structure are constructed. A geometric model of a heterogeneous medium is created using Stilinger-Lubachevsky algorithms for multimodal structures. The model includes a system of detectors for statistical evaluation of functionals on the space of solutions of the photon-electron cascade transport equations. Algorithms for the three-dimensional approximation of the results of modeling the radiation transport in a fine-dispersed medium to an electrodynamic difference grid are developed. The approximation methods based on the technology of neural networks. The method of numerical solution of the complete system of Maxwell's equations for calculating the electromagnetic field in a fine-dispersed medium is worked out. The results of demonstration calculations of the electromagnetic field are presented. The results of the calculations show that the spatial distribution of the radiation electromagnetic field has a sharply inhomogeneous structure caused by the presence of boundaries of materials with different radiation properties.
“…The processes of interaction of radiation with matter have a cascade character. The algorithms of statistical modeling of such processes are considered in detail in the works [14,15]. These papers describe effective statistical algorithms for mathematical modeling of cascade radiation transport processes using hybrid computing technology.…”
Section: Modeling Of Radiation Transport In a Fine-dispersed Mediummentioning
confidence: 99%
“…Finite-difference analogs of equations (3)(4)(5)(6)(7)(8) are given in [20]. The constructed numerical algorithm is implemented in the form of a software module focused on multiprocessor computing equipment [20] using MPI parallelization technology.…”
Section: Numerical Algorithm For Solving Maxwell's Equationsmentioning
confidence: 99%
“…The investigations of radiation-induced (electromagnetic radiation, laser radiation, penetrating radiation) effects in media of complex geometrical structure are actual for a lot of applications: interaction EMP with objects [1], plasma generation and relaxation [2], ionizing radiation interaction with matter [3][4][5] and many others. Mathematical modeling is an effective method to such investigation [6][7][8].…”
Algorithms for supercomputer modeling of the radiation electromagnetic field in heterogeneous materials of a complex finely-dispersed structure are constructed. A geometric model of a heterogeneous medium is created using Stilinger-Lubachevsky algorithms for multimodal structures. The model includes a system of detectors for statistical evaluation of functionals on the space of solutions of the photon-electron cascade transport equations. Algorithms for the three-dimensional approximation of the results of modeling the radiation transport in a fine-dispersed medium to an electrodynamic difference grid are developed. The approximation methods based on the technology of neural networks. The method of numerical solution of the complete system of Maxwell's equations for calculating the electromagnetic field in a fine-dispersed medium is worked out. The results of demonstration calculations of the electromagnetic field are presented. The results of the calculations show that the spatial distribution of the radiation electromagnetic field has a sharply inhomogeneous structure caused by the presence of boundaries of materials with different radiation properties.
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