Fully Discrete Finite Element Approximation for the Stabilized Gauge-Uzawa Method to Solve the Boussinesq Equations
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-09
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
The stabilized Gauge-Uzawa method (SGUM), which is a 2nd-order projection type algorithm used to solve Navier-Stokes equations, has been newly constructed in the work of Pyo, 2013.
In this paper, we apply the SGUM to the evolution Boussinesq equations, which model the thermal driven motion of incompressible fluids.
We prove that SGUM is unconditionally stable, and we perform error estimations on the fully discrete finite element space via variational approach for the velocity, pressure, and temperature, the three physical unknowns.
We conclude with numerical tests to check accuracy and physically relevant numerical simulations, the Bénard convection problem and the thermal driven cavity flow.
American Psychological Association (APA)
Pyo, Jae-Hong. 2013. Fully Discrete Finite Element Approximation for the Stabilized Gauge-Uzawa Method to Solve the Boussinesq Equations. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-21.
https://search.emarefa.net/detail/BIM-466890
Modern Language Association (MLA)
Pyo, Jae-Hong. Fully Discrete Finite Element Approximation for the Stabilized Gauge-Uzawa Method to Solve the Boussinesq Equations. Journal of Applied Mathematics No. 2013 (2013), pp.1-21.
https://search.emarefa.net/detail/BIM-466890
American Medical Association (AMA)
Pyo, Jae-Hong. Fully Discrete Finite Element Approximation for the Stabilized Gauge-Uzawa Method to Solve the Boussinesq Equations. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-21.
https://search.emarefa.net/detail/BIM-466890
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-466890