Keywords and Phrases
Boussinesq; Decoupled; Finite element method; Natural convection; Navier-Stokes; Steady
"This work presents two kinds of decoupled finite element methods for the steady natural convection problem in two dimensions. Firstly, the standard Galerkin finite element method is derived in detail stating algorithms needed for the realization in MATLAB. A numerical example verifies the error convergence. Secondly, using iteration, the Boussinesq equations are decoupled into the Navier-Stokes equations and a parabolic problem. The resulting problems are solved either in parallel or sequentially. Finally, the same numerical example as before is used to confirm the convergence and analyze the methods in terms of iteration performance. In addition to a higher flexibility and the convenience of exploiting existing solvers, the new decoupled finite element methods can be realized with less iteration steps, and thus more efficiently, if the focus is only on some of the unknowns or more information is provided"--Abstract, page iii.
Singler, John R.
Mathematics and Statistics
M.S. in Applied Mathematics
Missouri University of Science and Technology
x, 48 pages
© 2020 Lioba Boveleth, All rights reserved.
Thesis - Open Access
Electronic OCLC #
Boveleth, Lioba, "Decoupled finite element methods for general steady two-dimensional Boussinesq equations" (2020). Masters Theses. 7929.