Numerical modeling of the dynamic processes in liquid crystals under the action of thermomechanical and electrostatic perturbations : доклад, тезисы доклада

Sadovskii V.M.; Sadovskaya O.V.; Smolekho I.V.

Дополнительные ссылки: eLibrary · Источник статьи

База данных: Каталог библиотеки СФУ

Библиографическое описание: Numerical modeling of the dynamic processes in liquid crystals under the action of thermomechanical and electrostatic perturbations : доклад, тезисы доклада / V. M. Sadovskii, O. V. Sadovskaya, I. V. Smolekho. - Текст : непосредственный // AIP Conference Proceedings : 11 / 11th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2019 (2019 ; 20.06 - 25.06 ; Albena) : American Institute of Physics Inc., 2019. - 2164. - P. 090006.

Аннотация: Mathematical model for the description of dynamic processes in liquid crystals under weak mechanical, temperature and electric perturbations was proposed in our works earlier. Given contribution presents the algorithm and software package for numerical implementation of this model in 2D case. A system of basic equations of the model is solved using the method of two-cyclic splitting by spatial variables. At the stages of this method, 1D subsystems of acoustic equations for liquid crystals and related equations of thermal conductivity in spatial directions are solved with the help of Godunov's gap decay method, Ivanov's method with controlled energy dissipation, and Crank-Nicolson's scheme. The right-hand sides of equations in the acoustic approximation of the model of a liquid crystal arise under the action of electric field, for finding of which we use the method of straight lines and the method of recurrent recalculation. The algorithm is implemented using the CUDA technology for computer systems with graphics accelerators. Parallel program contains modules realizing the finite-difference schemes with the use of a three-point sweep, the Fourier transform and the SLAE solution method by means of the LU-decomposition, the iterative method for solving the equation of electric potential.

Год издания: 2019

Авторы: Sadovskii V.M. , Sadovskaya O.V. , Smolekho I.V.

Издательство: American Institute of Physics Inc.

Источник: AIP Conference Proceedings

Выпуск: 2164

Мероприятие: International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2019 (Albena, 2019 ; 20.06 - 25.06)

Номера страниц: 090006

Держатель оригинала документа: Institute of Computational Modeling SB RAS

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Numerical modeling of the dynamic processes in liquid crystals under the action of thermomechanical and electrostatic perturbations : доклад, тезисы доклада
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