Completely splitting method for the Navier-Stokes problem.
Autor: | Hirschel, Ernst Heinrich, Fujii, Kozo, Haase, Werner, Leer, Bram, Leschziner, Michael A., Pandolfi, Maurizio, Periaux, Jacques, Rizzi, Arthur, Roux, Bernard, Krause, Egon, Shokin, Yurii I., Resch, Michael, Shokina, Nina, Kireev, I. V., Rüde, U., Shaidurov, V. V. |
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Zdroj: | Computational Science & High Performance Computing; 2005, p47-75, 29p |
Abstrakt: | We consider two-dimensional time-dependent Navier-Stokes equations in a rectangular domain and study the method of full splitting [3]-[4]. On the physical level, this problem is splitted into two processes: convection-diffusion and action of pressure. The convection-diffusion step is further splitted in two geometric directions. To implement the finite element method, we use the approach with uniform square grids which are staggered relative to one another. This allows the Ladyzhenskaya-Babuška-Brezzi condition for stability of pressure to be fulfilled without usual diminishing the number of degrees of freedom for pressure relative to that for velocities. For pressure we take piecewise constant finite elements. As for velocities, we use piecewise bilinear elements. [ABSTRACT FROM AUTHOR] |
Databáze: | Supplemental Index |
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