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Computational Science, Engineering & Technology Series
ISSN 1759-3158
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

Full Bibliographic Reference for this chapter
G. Lube, T. Knopp, G. Rapin, "Non-Overlapping Domain Decomposition Methods for Incompressible Flows", in F. Magoulès, (Editor), "Mesh Partitioning Techniques and Domain Decomposition Methods", Saxe-Coburg Publications, Stirlingshire, UK, Chapter 10, pp 239-268, 2007. doi:10.4203/csets.17.10
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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