We consider a model for a granular flow proposed in \cite{HK99} in the slow erosion limit. We propose an Engquist-Osher type scheme for this problem and show that the approximate solutions generated by the scheme converge to a weak solution. Numerical examples are also presented showing the reliability of the scheme. We study also the finite time singularity formation for the model with the singularity tracking method, and we characterize the singularity as a \textit{shock} in the solution.
Engquist-Osher Method and Singularity Formation for a Slow Erosion Model / Coclite, Giuseppe Maria; Gargano, F; Sciacca, V.. - (2017).
Engquist-Osher Method and Singularity Formation for a Slow Erosion Model
COCLITE, Giuseppe Maria;
2017-01-01
Abstract
We consider a model for a granular flow proposed in \cite{HK99} in the slow erosion limit. We propose an Engquist-Osher type scheme for this problem and show that the approximate solutions generated by the scheme converge to a weak solution. Numerical examples are also presented showing the reliability of the scheme. We study also the finite time singularity formation for the model with the singularity tracking method, and we characterize the singularity as a \textit{shock} in the solution.File in questo prodotto:
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