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Volume 11, Issue 1
Numerical Modeling of Non-Newtonian Viscoplastic Flows: Part II. Viscoplastic Fluids and General Tridimensional Topographies

N. Bernabeu, P. Saramito & C. Smutek

Int. J. Numer. Anal. Mod., 11 (2014), pp. 213-228.

Published online: 2014-11

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  • 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.

  • Keywords

fluid mechanics, non-Newtonian fluid, Bingham model, asymptotic analysis, shallow water theory.

  • AMS Subject Headings

35K65, 65M50, 65M60, 76A05

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-11-213, author = {N. Bernabeu, P. Saramito and C. Smutek}, title = {Numerical Modeling of Non-Newtonian Viscoplastic Flows: Part II. Viscoplastic Fluids and General Tridimensional Topographies}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2014}, volume = {11}, number = {1}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/522.html} }
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 -

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.

N. Bernabeu, P. Saramito and C. Smutek. (2014). Numerical Modeling of Non-Newtonian Viscoplastic Flows: Part II. Viscoplastic Fluids and General Tridimensional Topographies. International Journal of Numerical Analysis and Modeling. 11 (1). 213-228. doi:
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