an:05887186
Zbl 1429.76098
Ben??tez, M.; Berm??dez, A.
A second order characteristics finite element scheme for natural convection problems
EN
J. Comput. Appl. Math. 235, No. 11, 3270-3284 (2011).
00277954
2011
j
76R10 76M10
natural convection; finite elements methods; characteristics method; Lagrange-Galerkin methods
Summary: 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.