Laminar flow calculations in ducts of complex shapes using mapping functions and decomposition of domains

Magdeleine Normandin, Jean-Robert Clermont and Ahmad Mahmoud

Mathematics and Computers in Simulation (MATCOM), 2000, vol. 52, issue 1, 21-39

Abstract: The method presented in this paper, based on geometrical considerations, concerns the use of unknown transformations and decomposition of domains for computation of fully-developed flows in ducts of complex shape. The approach involves local one-to-one transformations of sub-domains of the physical two-dimensional domain into simple mapped domains used for computation, where a rectangular mesh can be defined. The formulation allows direct calculation of velocity contour values in flow regions close to the boundaries, avoiding problems that may arise from geometrical singularities in shape of the physical domain. Application of the method are given for different types of ducts with fluids obeying various constitutive equations. The set of governing equations is solved by the means of the Levenberg–Marquardt optimization algorithm.

Keywords: Mapping functions; Laminar flow; Decomposition of domain (search for similar items in EconPapers)
Date: 2000
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378475499001512
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:52:y:2000:i:1:p:21-39

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().