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Numerical simulation of two-dimensional and three-dimensional axisymmetric advection-diffusion systems with complex geometries using finite-volume methods

Tijdschriftbijdrage - Tijdschriftartikel

A finite-volume method has been developed that can deal accurately with complicated, curved boundaries for both two-dimensional and three-dimensional axisymmetric advection-diffusion systems. The motivation behind this is threefold. Firstly, the ability to model the correct geometry of a situation yields more accurate results. Secondly, smooth geometries eliminate corner singularities in the calculation of, for example, mechanical variables and thirdly, different geometries can be tested for experimental applications. An example illustrating each of these is given: fluid carrying a dye and rotating in an annulus, bone fracture healing in mice, and using vessels of different geometry in an ultracentrifuge.
Tijdschrift: Proceedings of the Royal Society of London A, Mathematical, Physical and Engineering Sciences
ISSN: 1364-5021
Issue: 2118
Volume: 466
Pagina's: 1621 - 1643
Jaar van publicatie:2010
BOF-keylabel:ja
IOF-keylabel:ja
BOF-publication weight:1
CSS-citation score:1
Auteurs:International
Authors from:Higher Education