Modeling of Explosive Processes in Anisotropic Media where Boundary of the Influence Region is Identified

• Дата: 2018
• Автори: Bomba, A., Malash, K.
• Формат: Стаття
• Мова: English
• Опубліковано: Інститут кібернетики ім. В.М. Глушкова НАН України 2018
• Назва видання: Математичне та комп'ютерне моделювання. Серія: Технічні науки
• Онлайн доступ: http://dspace.nbuv.gov.ua/handle/123456789/162162
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Modeling of Explosive Processes in Anisotropic Media where Boundary of the Influence Region is Identified / A. Bomba, K. Malash // Математичне та комп'ютерне моделювання. Серія: Технічні науки: зб. наук. пр. — Кам’янець-Подільський: Кам'янець-Подільськ. нац. ун-т, 2018. — Вип. 18. — С. 5-17. — Бібліогр.: 10 назв. — англ.

This article deals with a mathematical model of the explosion process based on a liquid model. It takes into account the mutual influence of the deformable anisotropic porous medium parameters and the explosive process characteristics. The corresponding boundary value problem is solved using the numerical quasiconformal mappings method which ensures the possibility of its solution taking into account the presence of the reverse effect, the existence of which essentially complicates the process of solving the problem by other, less «dynamical» methods. Algorithm used in the modelling of similar processes in hydrodynamics and electrodynamics, in particular for the study of filtration processes and electromotography is adapted for solving appropriate boundary value problems. The method of identifying the external boundary of the domain of the explosive process influence is developed by introducing certain changes to the «classical » algorithm for solving such a type of boundary problems for the twice-bounded domain since the last one requires a priori assignment of the inner and outer domain contours.