A rapid simulation of nano-particle transport in a two-dimensional human airway using POD/Galerkin reduced-order models

作者：Nguyen N H^*

来源：International Journal for Numerical Methods in Engineering, 2016, 105(7): 514-531.

DOI：10.1002/nme.4986

• nano-particle
• transport
• deposition
• Navier-Stokes
• advection-diffusion
• reduced-order models (ROMs)

An approach is proposed for the rapid prediction of nano-particle transport and deposition in the human airway, which requires the solution of both the Navier-Stokes and advection-diffusion equations and for which computational efficiency is a challenge. The proposed method builds low-order models that are representative of the fully coupled equations by means of the Galerkin projection and proper orthogonal decomposition technique. The obtained reduced-order models (ROMs) are a set of ordinary differential equations for the temporal coefficients of the basis functions. The numerical results indicate that the ROMs are highly efficient for the computation (the speedup factor is approximately 3 x 10(3)) and have reasonable accuracy compared with the full model (relative error of approximate to 7 x 10(-3)). Using ROMs, the deposition of particles is studied for 1 <= d(n) <= 100 nm, where d(n) is the diameter of a nano-particle. The effectiveness of this approach is promising for applications of health risk assessment.

• 出版日期2016-2-17