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MESH PARTITIONING TECHNIQUES AND DOMAIN DECOMPOSITION METHODS
Edited by: F. Magoulès
Chapter 10

Non-Overlapping Domain Decomposition Methods for Incompressible Flows

G. Lube1, T. Knopp2 and G. Rapin1
1Mathematics Department, Georg-August University Göttingen, Germany
2Institute of Aerodynamics and Flow Technology, DLR Göttingen, Germany
Keywords: domain decomposition, Stokes problem, Oseen problem, RANS model, stabilised FEM, indoor air flow.

A critical review of domain decomposition techniques shows that there exist only few methods for incompressible flows. In the first part, we present such methods for linearised models, like the Stokes and the Oseen problems. Then we describe in more detail a non-overlapping method with interface conditions of the Robin type. Finally, we show a typical application of the latter method to a complex model appearing in indoor air flow simulation.

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