NUMERICAL PROBLEMS OF THE MODELING OF NATURAL AND INDUSTRIAL PROCESSES IN THE ARCTIC ZONE OF THE RUSSIAN FEDERATION

• Main Authors: I. B. Petrov, И. Б. Петров
• Format: Article in Journal/Newspaper
• Language: Russian
• Published: Tula State Lev Tolstoy Pedagogical University 2018
• Subjects: Арктика; mechanics of continuous environments; mechanics of ice; seismic exploration; Arctic; механика сплошных сред; механика льда; сейсморазведка
• Online Access: https://www.chebsbornik.ru/jour/article/view/369; https://doi.org/10.22405/2226-8383-2017-18-3-423-438

In this work questions of numerical modeling of dynamic problems ofthe Arctic zone on high-performance computing systems are considered. The physical sizes of field of integration in such tasks can reach tens and hundreds of kilometers. For correct modeling of distribution wave indignations on such distances are required high- precision numerical methods taking into account wave properties of the solvable equations and also a possibility of modeling of difficult dynamic processes in nonuniform geological environments with a set of contact and free borders. As such numerical method in work the net and characteristic method [1] to the numerical solution of systems of the equations of mechanics of a deformable solid body is used. This method allows to use monotonous differential schemes of the raised order of accuracy [2], to build correct numerical algorithms on borders of fields of integration and on contact borders [3]. This method was already applied to some problems of seismicity in a two-dimensional case [4], in this work modeling was carried out in three-dimensional statement. We will mark that the grid and characteristic method was successfully tested for the numerical decision of tasks in such fields of applied science as hydroaerodynamics, dynamics of plasma, the mechanic of a deformable solid body and corrupting, computing medicine. Examples of its application are described in different appendices in operation [1]. В данной работе рассматриваются вопросы численного моделирования динамических задач Арктической зоны на высокопроизводительных вычислительных системах. Физические размеры области интегрирования в такого рода задачах могут достигать десятков и сотен километров. Для корректного моделирования распространения волновых возмущения на такие расстояния требуются высокоточные численные методы с учетом волновых свойств решаемых уравнений, а также возможностью моделирования сложных динамических процессов в неоднородных геологических средах с множеством контактных и свободных границ. В качестве такого ...