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
Sun Mar 3 06:42:12 MST 2024