Numerical Modeling of Non-Newtonian Viscoplastic Flows: Part II. Viscoplastic Fluids and General Tridimensional Topographies
Year: 2014
International Journal of Numerical Analysis and Modeling, Vol. 11 (2014), Iss. 1 : pp. 213–228
Abstract
A new reduced model for the shallow tridimensional viscoplastic fluid is presented in this paper, allowing for the first time an arbitrarily topography. A new numerical approach is also proposed in order to catch efficiently the long-time behavior of the flow and the arrested state. In order to support varying and large time steps, a fully implicit and second order method (BDF2) is proposed. It is combined with an auto-adaptive mesh feature for catching accurately the evolution of front position. This approach was tested on two flows experiments and compared to experimental measurements. The first study shows the efficiency of this approach when the shallow flow conditions are fully satisfied while the second one points out the limitations of the reduced model when these conditions are not fulfilled.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2014-IJNAM-522
International Journal of Numerical Analysis and Modeling, Vol. 11 (2014), Iss. 1 : pp. 213–228
Published online: 2014-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: fluid mechanics non-Newtonian fluid Bingham model asymptotic analysis shallow water theory.