Up-wind difference approximation and singularity formation for a slow erosion model

Francesco Gargano, Vincenzo Sciacca, Giuseppe Maria Coclite

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)465-492
Number of pages28
JournalMODÉLISATION MATHÉMATIQUE ET ANALYSE NUMÉRIQUE
Volume54
Publication statusPublished - 2020

All Science Journal Classification (ASJC) codes

  • Analysis
  • Numerical Analysis
  • Modelling and Simulation
  • Computational Mathematics
  • Applied Mathematics

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