Numerical simulation of two-dimensional and three-dimensional axisymmetric advection-diffusion systems with complex geometries using finite-volume methods
Ashbourn, J. M. A.; Geris, Liesbet; Gerisch, A.et al.
2010 • In Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences, 466 (2118), p. 1621-1643
[en] 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.
Disciplines :
Mechanical engineering Computer science
Author, co-author :
Ashbourn, J. M. A.; Department of Engineering Science, University of Oxford, Parks Road, Oxford OX1 3PJ, UK
Geris, Liesbet ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Génie biomécanique
Young, C. J. S.; Magdalen College, University of Oxford, Oxford OX1 4AU, UK
Language :
English
Title :
Numerical simulation of two-dimensional and three-dimensional axisymmetric advection-diffusion systems with complex geometries using finite-volume methods
Publication date :
2010
Journal title :
Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences
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