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http://hdl.handle.net/2183/35441 A second order characteristics finite element scheme for natural convection problems
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Benítez, M., & Bermúdez, A. (2011). A second order characteristics finite element scheme for natural convection problems. Journal of computational and applied mathematics, 235(11), 3270-3284. https://doi.org/10.1016/j.cam.2011.01.007
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[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 mathe-matical model, a second order time discretization of the material time derivative is introduced.
Next, fully discretized schemes are proposed by using finite element methods. Numer-cal 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.
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© 2011. This manuscript version is made available under the CC-BY-NC-ND
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