A second order characteristics finite element scheme for natural convection problems |
| |
Authors: | M Benítez A Bermúdez |
| |
Institution: | Departamento de Matemática Aplicada, Universidad de Santiago de Compostela, Campus Sur s/n, E-15782 Santiago de Compostela, Spain |
| |
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. |
| |
Keywords: | Natural convection Finite elements methods Characteristics method Lagrange-Galerkin methods |
本文献已被 ScienceDirect 等数据库收录! |
|