ON COUPLED PROBLEMS FOR VISCOUS FLOW IN EXTERIOR DOMAINS
- FEISTAUER, M. Faculty of Mathematics and Physics, Charles University Prague, Malostranské n. 25, 11800 Praha 1, Czech Republic
- SCHWAB, C. Seminar for Applied Mathematics, ETH Zürich, CH-8092 Zürich, Switzerland
- 2011-11-21
Published in:
- Mathematical Models and Methods in Applied Sciences. - World Scientific Pub Co Pte Lt. - 1998, vol. 08, no. 04, p. 657-684
English
The use of the complete Navier–Stokes system in an unbounded domain is not always convenient in computations and, therefore, the Navier–Stokes problem is often truncated to a bounded domain. In this paper we simulate the interaction between the flow in this domain and the exterior flow with the aid of a coupled problem. We propose in particular a linear approximation of the exterior flow (here the Stokes flow or potential flow) coupled with the interior Navier–Stokes problem via suitable transmission conditions on the artificial interface between the interior and exterior domains. Our choice of the transmission conditions ensures the existence of a solution of the coupled problem, also for large data.
- Language
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- English
- Open access status
- green
- Identifiers
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- DOI 10.1142/s0218202598000305
- ISSN 0218-2025
- Persistent URL
- https://sonar.ch/global/documents/267909
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