Graham F. Carey, William Barth, Juliette A. Woods, Ben Kirk, Michael L. Anderson, Sum Chow, Wolfgang Bangerth
Modeling error and constitutive relations in simulation of flow and transport
International Journal for Numerical Methods in Fluids, vol. 46 (2004), pp. 1211-1236.

The main theme of this paper is the modeling error associated with the choice of constitutive equations and related parameter sensitivity. These key concepts are first discussed in a general way to try to give an overall perspective and illustrate how they fit into the general scope of simulation goals. They are explored in detail subsequently within the context of three related flow application problems which share certain similarities not only in the finite element formulation but also in the nature of the nonlinear constitutive laws that are investigated. The specific flow problems involve: density driven flow in porous media, the Powell-Eyring model for generalized Newtonian flows, and the related Glen's flow type of constitutive relations for glacier modeling.

Wolfgang Bangerth
Mon Jul 17 15:58:29 MDT 2017