A Finite Volume Method for the Two-dimensional Stationary Navier — Stokes System
Abstract: In this paper we extend to the stationary incompressible Navier — Stokes system in dimension two the results obtained in [14, 26] for a cell-centered finite volume method applied to the stationary incompressible Stokes system. Here the nonlinear term is discretized as in [15]. We prove that the energy error norm is bounded by h, where h is the mesh size, under the standard assumption that the datum is small enough with respect to the viscosity parameter. Numerical tests on examples with analytic solutions and on standard benchmark problems from fluid mechanics are presented and confirm the theoretical results.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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A Finite Volume Method for the Two-dimensional Stationary Navier — Stokes System ; volume:6 ; number:2 ; year:2006 ; pages:134-153
Computational methods in applied mathematics ; 6, Heft 2 (2006), 134-153
- Creator
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Djadel, K.
Nicaise, S.
- DOI
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10.2478/cmam-2006-0007
- URN
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urn:nbn:de:101:1-2410261620576.930848562741
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:24 AM CEST
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Associated
- Djadel, K.
- Nicaise, S.
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