Reference : Numerical simulation of two-dimensional and three-dimensional axisymmetric advection-dif...
Scientific journals : Article
Engineering, computing & technology : Computer science
Engineering, computing & technology : Mechanical engineering
Numerical simulation of two-dimensional and three-dimensional axisymmetric advection-diffusion systems with complex geometries using finite-volume methods
Ashbourn, J. M. A. [Department of Engineering Science, University of Oxford, Parks Road, Oxford OX1 3PJ, UK > > > > > >]
Geris, Liesbet mailto [Université de Liège - ULg > Département d'aérospatiale et mécanique > Génie biomécanique >]
Gerisch, A. [Institut für Mathematik, Martin-Luther-Universität Halle-Wittenberg, 06099 Halle (Saale), Germany > > > > > >]
Young, C. J. S. [Magdalen College, University of Oxford, Oxford OX1 4AU, UK > > > >]
Proceedings : Mathematical, Physical & Engineering Sciences
Royal Society
Yes (verified by ORBi)
[en] finite-volume method ; advection ; diffusion ; Cartesian grid ; cut cells
[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.
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