Abstract | ||
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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 |
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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 |
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M. Benítez | 1 | 10 | 1.80 |
Alfredo Bermúdez | 2 | 47 | 13.97 |