Decoupled Scheme for Time-Dependent Natural Convection Problem II: Time Semidiscreteness
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-23, 23 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-12-18
Country of Publication
Egypt
No. of Pages
23
Main Subjects
Abstract EN
We study the numerical methods for time-dependent natural convection problem that models coupled fluid flow and temperature field.
A coupled numerical scheme is analyzed for the considered problem based on the backward Euler scheme;stability and the corresponding optimal error estimates are presented.
Furthermore, a decoupled numerical scheme is proposed by decoupling the nonlinear terms via temporal extrapolation; optimal error estimates are established.
Finally, some numerical results are provided to verify the performances of the developed algorithms.
Compared with the coupled numerical scheme, the decoupled algorithm not only keeps good accuracy but also saves a lot of computational cost.
Both theoretical analysis and numerical experiments show the efficiency and effectiveness of the decoupled method for time-dependent natural convection problem.
American Psychological Association (APA)
Zhang, Tong& Tao, ZhenZhen. 2014. Decoupled Scheme for Time-Dependent Natural Convection Problem II: Time Semidiscreteness. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-23.
https://search.emarefa.net/detail/BIM-1046423
Modern Language Association (MLA)
Zhang, Tong& Tao, ZhenZhen. Decoupled Scheme for Time-Dependent Natural Convection Problem II: Time Semidiscreteness. Mathematical Problems in Engineering No. 2014 (2014), pp.1-23.
https://search.emarefa.net/detail/BIM-1046423
American Medical Association (AMA)
Zhang, Tong& Tao, ZhenZhen. Decoupled Scheme for Time-Dependent Natural Convection Problem II: Time Semidiscreteness. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-23.
https://search.emarefa.net/detail/BIM-1046423
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1046423