J. Comp. Math., 29 (2011), pp. 474-490.


Operator Splitting for the Non-stationary Thermal Convection Problems

Hongen Jia 1, Kaitai Li 1, Haiyan Sun 1

1 College of Science, Xi'an Jiaotong University, Xi'an 710049, China

Received 2009-11-16 Accepted 2010-12-28
Available online 2011-6-27
doi:10.4208/jcm.1103-m3261
Abstract

In this work, a new numerical scheme is proposed for thermal/isothermal incompressible viscous flows based on operator splitting. Unique solvability and stability analysis are presented. Some numerical result are given, which show that the proposed scheme is highly efficient for the thermal/isothermal incompressible viscous flows.

Key words: \theta scheme, Stability, Isothermal incompressible viscous flows.

AMS subject classifications: 35Q30, 74S05.

Email: jiahongen@yahoo.com.cn, ktli@mail.xjtu.edu.cn, yanyan513@gmail.com
 

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