TY - JOUR
T1 - Numerical Modeling of Non-Newtonian Viscoplastic Flows: Part II. Viscoplastic Fluids and General Tridimensional Topographies
AU - N. Bernabeu, P. Saramito & C. Smutek
JO - International Journal of Numerical Analysis and Modeling
VL - 1
SP - 213
EP - 228
PY - 2014
DA - 2014/11
SN - 11
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/522.html
KW - fluid mechanics, non-Newtonian fluid, Bingham model, asymptotic analysis, shallow water theory.
AB - <p style="text-align: justify;">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.</p>