Adaptive hp-FEM with dynamical meshes for transient heat and moisture transfer problems

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:233

Article; Proceedings Paper

Solin, Pavel^1,2  Dubcova, Lenka²  Kruis, Jaroslav³ 

[1] Univ Nevada, Dept Math & Stat, Reno, NV 89557 USA

[2] Inst Thermomech, Prague, Czech Republic

[3] Czech Tech Univ, Fac Civil Engn, CR-16635 Prague, Czech Republic

关键词: Multiphysics problems;    Heat and moisture transfer;    Higher-order methods;    hp-FEM;    Space-time adaptivity;    Dynamical meshes;    Open source software;   

DOI  :  10.1016/j.cam.2009.07.025

来源: Elsevier

【 摘 要 】

We are concerned with the time-dependent multiphysics problem of heat and Moisture transfer in the context of civil engineering applications. The problem is challenging due to its multiscale nature (temperature usually propagates orders of magnitude faster than moisture), different characters of the two fields (moisture exhibits boundary layers which are not present in the temperature field), extremely long integration times (30 years or more), and lack of viable error control mechanisms. In order to solve the problem efficiently, we employ a novel multimesh adaptive higher-order finite element method (hp-FEM) based on dynamical meshes and adaptive time step control. We investigate the possibility to approximate the temperature and humidity fields on individual dynamical meshes equipped with mutually independent adaptivity mechanisms. Numerical examples related to a realistic nuclear reactor vessel simulation are presented. (C) 2009 Elsevier B.V. All rights reserved.

【 授权许可】

Free