Том: IOP Conference Series: Earth and Environmental Science. The Fifth All-Russian Conference with International Participation "Polar Mechanics" (Novosibirsk, Russian Federation, 9-11 October 2018)
Том: 193
, Год издания: 2018
Многотомное издание: IOP Conference Series: Earth and Environmental Science. The Fifth All-Russian Conference with International Participation "Polar Mechanics" (Novosibirsk, Russian Federation, 9-11 October 2018)
Страницы: 012043-012043
Аннотация
A Stefan problem with a moving boundary in a heterogeneous two-phase medium is considered. For solving the Stefan problem, a discontinuous Galerkin method in a nonsymmetrical Inner Penalty formulation is used. We propose to split the problem solution into a discontinuous component in the phase transition zone and a continuous component outside the phase transition zone. A multiscale method allows to reduce a number of freedom degrees by using the discontinuous Galerkin method in the phase transition zone only. Mathematical modeling results of the ice melting at the interaction with the environment are given.
