Two-level variational multiscale method based on the decoupling approach for the natural convection problem

被引：25

作者：

Du, Binbin ^{[1
]}

Su, Haiyan ^{[1
]}

Feng, Xinlong ^{[1
]}

机构：

[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China

来源：

INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER | 2015年 / 61卷

关键词：

Natural convection problem; Two-level technique; Decoupling approach; Variational multiscale method; Finite element method; FINITE-ELEMENT-METHOD; SCHEME; FLOWS;

D O I：

10.1016/j.icheatmasstransfer.2014.12.004

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

This paper enfolds a detail analysis for two kinds of two-level variational multiscale method for the natural convection problem. Firstly, from the finite element variational multiscale (VMS) method based on two local Gauss integrations (LG-VMS method), the two-level LG-VMS (TLG-VMS) method is proposed. Then, the decoupled two-level LG-VMS (DTLG-VMS) method is presented by combining the decoupling approach to reduce the computational complexity and scale. Stability analysis and error estimation are given. Finally, numerical results confirm the theoretical analysis and the effectiveness of the proposed methods. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：128 / 139

页数：12

共 25 条

[1] Semi-implicit FEM analysis of natural convection in freezing water [J].

Banaszek, J ;

Jaluria, Y ;

Kowalewski, TA ;

Rebow, M .

NUMERICAL HEAT TRANSFER PART A-APPLICATIONS, 1999, 36 (05) :449-472

[2] ERROR ANALYSIS FOR FINITE-ELEMENT METHODS FOR STEADY NATURAL-CONVECTION PROBLEMS [J].

BOLAND, J ;

LAYTON, W .

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1990, 11 (5-6) :449-483

[3]

Boland J., 1990, NUMER METH PART D E, V6, P115, DOI DOI 10.1002/NUM.1690060202

[4] A multilevel decoupled method for a mixed Stokes/Darcy model [J].

Cai, Mingchao ;

Mu, Mo .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2012, 236 (09) :2452-2465

[5] Computational predictability of time-dependent natural convection flows in enclosures (including a benchmark solution) [J].

Christon, MA ;

Gresho, PM ;

Sutton, SB .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2002, 40 (08) :953-980

[6] A projection-based stabilized finite element method for steady-state natural convection problem [J].

Cibik, Aytekin ;

Kaya, Songul .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 381 (02) :469-484

[7] An Oseen scheme for the conduction-convection equations based on a stabilized nonconforming method [J].

Huang, Pengzhan ;

Zhao, Jianping ;

Feng, Xinlong .

APPLIED MATHEMATICAL MODELLING, 2014, 38 (02) :535-547

[8] A quadratic equal-order stabilized finite element method for the conduction-convection equations [J].

Huang, Pengzhan ;

Feng, Xinlong ;

He, Yinnian .

COMPUTERS & FLUIDS, 2013, 86 :169-176

[9] The multiscale formulation of large eddy simulation: Decay of homogeneous isotropic turbulence [J].

Hughes, TJR ;

Mazzei, L ;

Oberai, AA ;

Wray, AA .

PHYSICS OF FLUIDS, 2001, 13 (02) :505-512

[10] A finite element variational multiscale method for the Navier-Stokes equations [J].

John, V ;

Kaya, S .

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2005, 26 (05) :1485-1503

← 1 2 3 →