Keywords
Stefan problem
parabolic equations
quasilinear heat conductivity equation
How to Cite
Abstract
We studied a wo-dimensional ice island in Arctic. A phase transition problem also called the Stefan problem is stated. A numerical method for solving it is developed. This method is modified to consider the environment effects which are not present in the physical model. We also briefly discuss approaches to including ice and water salinity, wind speed, and water currents as they are software-implemented. A series of numerical experiments for the ice island are conducted using the simulation model. The temperature fields inside the ice island after are found also taking into account the presence of a 10 m thick seabed soil after freezing and for various extreme environmental conditions.
References
Горгуца Е. Ю., Курило Е. Ю. Строительство искусственных ледовых островов в условиях Арктики. Гидротехника. XXI век. 2017;4:54-57.
Курило Е. Ю. Посадка искусственного ледового острова на дно в Карском море. Alfabuild. 2017;2(2):66-69.
C-CORE (2005). Ice Island Study. Final Report. Prepared for Minerals Management Service, US Department of the Interior. Prepared by C-CORE. Report No. R-05-014-241 v1.0, August 2005.
Мейрманов А. М. Задача Стефана. Новосибирск: Наука. Сиб. отд-ние; 1986. 240 c.
Албу А. Ф. Применение методологии быстрого автоматического дифференцирования к решению задач управления тепловыми процессами с фазовыми переходами: автореф. дис. д-ра физ.-мат. наук. 2016.
Самарский А. А. Введение в численные методы. Москва: Главная редакция физико-математической литературы издательства «Наука»; 1987. С. 359-367.
Comfort G., Abdelnour R. Ice Thickness Prediction: A Comparison of Various Practical Approaches. CGU HS Committee on River Ice Processes and the Environment, 17th Workshop on River Ice 2013, Edmonton, Alberta.
Nkoko Nossa A. Method for Prediction of Sea Ice Thickness Based on the Blowing Air Temperature and Speed. Master Thesis at University of Liege, 2015.