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Volume 29, Issue 4
Operator Splitting Schemes for the Non-Stationary Thermal Convection Problems

Hongen Jia, Kaitai Li, & Haiyan Sun

DOI: 10.4208/jcm.1103-m3261

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

Published online: 2011-08

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  • 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 results are given, which show that the proposed scheme is highly efficient for the thermal/isothermal incompressible viscous flows.

  • Keywords

$θ$ scheme, Stability, Isothermal incompressible viscous flows.

  • AMS Subject Headings

35Q30, 74S05.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-29-474, author = {Hongen Jia, Kaitai Li, and Haiyan Sun}, title = {Operator Splitting Schemes for the Non-Stationary Thermal Convection Problems}, journal = {Journal of Computational Mathematics}, year = {2011}, volume = {29}, number = {4}, pages = {474--490}, 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 results are given, which show that the proposed scheme is highly efficient for the thermal/isothermal incompressible viscous flows.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1103-m3261}, url = {http://global-sci.org/intro/article_detail/jcm/8488.html} }
TY - JOUR T1 - Operator Splitting Schemes for the Non-Stationary Thermal Convection Problems AU - Hongen Jia, Kaitai Li, & Haiyan Sun JO - Journal of Computational Mathematics VL - 4 SP - 474 EP - 490 PY - 2011 DA - 2011/08 SN - 29 DO - http://doi.org/10.4208/jcm.1103-m3261 UR - https://global-sci.org/intro/article_detail/jcm/8488.html KW - $θ$ scheme, Stability, Isothermal incompressible viscous flows. AB -

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 results are given, which show that the proposed scheme is highly efficient for the thermal/isothermal incompressible viscous flows.

Hongen Jia, Kaitai Li, and Haiyan Sun. (2011). Operator Splitting Schemes for the Non-Stationary Thermal Convection Problems. Journal of Computational Mathematics. 29 (4). 474-490. doi:10.4208/jcm.1103-m3261
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