Generalized multiscale discontinuous Galerkin method for solving the heat problem with phase change

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:340

Article

Stepanov, Sergei¹  Vasilyeva, Maria¹  Vasil'ev, Vasiliy, I¹ 

[1] North Eastern Fed Univ, Yakutsk, Russia

关键词: Multiscale method;    Discontinuous Galerkin;    GMsFEM;    Heat transfer;    Heterogeneous media;    Stefan problem;   

DOI  :  10.1016/j.cam.2017.12.004

来源: Elsevier

【 摘 要 】

In this work, we consider a numerical solution of a heat transfer problem with phase change in heterogeneous domains. For simulation of heat transfer processes with phase transitions, we use a classic Stefan model. Computational implementation is based on generalized multiscale discontinuous Galerkin method (GMsDGM). In this method the interior penalty discontinuous Galerkin method is used for the global coupling on a coarse grid. The main idea of these methods is to construct a small dimensional local solution space that can provide an efficient calculation on coarse grid level. We present numerical results for different geometries to demonstrate an accuracy of the method. (C) 2017 Elsevier B.V. All rights reserved.

【 授权许可】

Free