Solution of the one-dimensional Stefan problem with two transitions for modelling of the water freezing in a glacial crevasse

• Main Authors: S. Popov V., С. Попов В.
• Other Authors: The author is grateful to A.S. Boronina and two anonymous reviewers for fruitful criticism. The study was financially supported by the Russian Science Foundation No. 22-27-00266., Автор выражает благодарность А.С. Борониной и двум анонимным рецензентам за конструктивную критику настоящей работы. Исследование выполнено при финансовой поддержке Российского научного фонда № 22-27- 00266.
• Format: Article in Journal/Newspaper
• Language: Russian
• Published: IGRAS 2023
• Subjects: mathematical modelling;numerical solution;Stefan problem;finite difference schemes;ice crevasses;Antarctica; математическое моделирование;численное решение;задача Стефана;конечноразностные схемы;ледниковые трещины;Антарктида; Antarctic; East Antarctica; Mirny; Annals of Glaciology; Antarc*; Antarctica; Антарктида
• Online Access: https://ice-snow.igras.ru/jour/article/view/1157; https://doi.org/10.31857/S2076673423010131

This article presents a numerical solution of the one-dimensional Stefan problem with two phase transitions, which is implemented on a non-uniform grid. The system of equations is written in a general form, i.e. it includes not only conductive, but also convective and dissipative terms. The problem...