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G. Lube¹, T. Knopp² and G. Rapin¹

¹Mathematics Department, Georg-August University Göttingen, Germany
²Institute of Aerodynamics and Flow Technology, DLR Göttingen, Germany

doi:10.4203/csets.17.10

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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.

Abstract

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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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Computational Science, Engineering & Technology Series ISSN 1759-3158 CSETS: 17 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 doi:10.4203/csets.17.10 purchase the full-text of this chapter 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. Abstract 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. purchase the full-text of this chapter (price £25) go to the previous chapter go to the next chapter return to the table of contents return to the book description purchase this book (price £95 +P&P)
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