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EnglishWe consider a model for a granular flow in the slow erosion limit introduced in [31]. We propose an up-wind numerical scheme for this problem and show that the approximate solutions generated by the scheme converge to the unique entropy 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 singularities as shocks in the solution.
Giuseppe Maria, C., Francesco, G., & Vincenzo, S. (2020). Up-wind difference approximation and singularity formation for a slow erosion model. MODÉLISATION MATHÉMATIQUE ET ANALYSE NUMÉRIQUE, 54, 465-492.
| Data di pubblicazione: | 2020 |
| Titolo: | Up-wind difference approximation and singularity formation for a slow erosion model |
| Autori: | SCIACCA, Vincenzo (Corresponding) |
| Citazione: | Giuseppe Maria, C., Francesco, G., & Vincenzo, S. (2020). Up-wind difference approximation and singularity formation for a slow erosion model. MODÉLISATION MATHÉMATIQUE ET ANALYSE NUMÉRIQUE, 54, 465-492. |
| Rivista: | |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1051/m2an/2019068 |
| Abstract: | We consider a model for a granular flow in the slow erosion limit introduced in [31]. We propose an up-wind numerical scheme for this problem and show that the approximate solutions generated by the scheme converge to the unique entropy 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 singularities as shocks in the solution. |
| URL: | https://www.esaim-m2an.org/component/article?access=doi&doi=10.1051/m2an/2019068 |
| Settore Scientifico Disciplinare: | Settore MAT/07 - Fisica Matematica |
| Appare nelle tipologie: | 1.01 Articolo in rivista |
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http://hdl.handle.net/10447/386709
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