Тип публикации: доклад, тезисы доклада, статья из сборника материалов конференций
Конференция: International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2019; Albena; Albena
Год издания: 2019
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 modeПоказать полностьюl 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.
Журнал: AIP Conference Proceedings
Выпуск журнала: 2164
Номера страниц: 090006
Издатель: American Institute of Physics Inc.