Title
A second order characteristics finite element scheme for natural convection problems
Abstract
In this paper a second order characteristics finite element scheme is applied to the numerical solution of natural convection problems. Firstly, after recalling the mathematical model, a second order time discretization of the material time derivative is introduced. Next, fully discretized schemes are proposed by using finite element methods. Numerical results for the two-dimensional problem of buoyancy-driven flow in a square cavity with differentially heated side walls are given and compared with a reference solution.
Year
DOI
Venue
2011
10.1016/j.cam.2011.01.007
J. Computational Applied Mathematics
Keywords
DocType
Volume
order time discretization,buoyancy-driven flow,material time derivative,finite element method,natural convection problem,discretized scheme,order characteristics finite element,reference solution,numerical result,differentially heated side wall,numerical solution,galerkin method,natural convection,finite element,mathematical model,second order
Journal
235
Issue
ISSN
Citations 
11
0377-0427
6
PageRank 
References 
Authors
0.64
6
2
Name
Order
Citations
PageRank
M. Benítez1101.80
Alfredo Bermúdez24713.97