Prathish Rajaraman and Jeffrey J. Heys Simulation of nanoparticle transport in airways using Petrov–Galerkin finite element methods International Journal for Numerical Methods in Biomedical Engineering 30
When modeling nanoparticle transport and deposition in the human airways, the standard finite element method becomes unstable, and, in order resolve this issue, various stabilization methods were considered for their accuracy and computational cost. Two test problems were used for comparing the stabilization approaches: the Graetz problem and flow through multiple generations of a human airway geometry. The optimal stabilization method depended upon the particle size and geometry, but, for most problems consider, the Graetz problem was the optimal choice.
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