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

DOI10.1098/rspa.2009.0527zbMath1190.65129OpenAlexW2150392361MaRDI QIDQ3564962

J. M. A. Ashbourn, Liesbet Geris, C. J. S. Young, Alf Gerisch

Publication date: 27 May 2010

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2009.0527

zbMATH Keywords

numerical examples method of lines corner singularities Cartesian grid advection-diffusion equation finite-volume method cut cells ultracentrifuge bone fracture healing in mice fluid carrying a dye rotating in an annulus

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

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