One-dimensional surrogate models for advection-diffusion problems

Code:
59/2013
Title:
One-dimensional surrogate models for advection-diffusion problems
Date:
Monday 25th November 2013
Author(s):
Aletti, M.; Bortolossi, A.; Perotto, S.; Veneziani, A.
Download link:
Abstract:
Numerical solution of partial differential equations can be made more tractable by model reduction techniques. For instance, when the problem at hand presents a main direction of the dynamics (such as blood flow in arteries), it may be conveniently reduced to a 1D model. Here we compare two strategies to obtain this model reduction, applied to classical advection-diffusion equations in domains where one dimension dominates the others.
This report, or a modified version of it, has been also submitted to, or published on
submitted to proceedings ENUMATH 2013