6533b872fe1ef96bd12d42a4

RESEARCH PRODUCT

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

Vincenzo SciaccaGiuseppe Maria CocliteFrancesco Gargano

subject

granular flowsNumerical AnalysisEntropy solutionsup-wind schemeApplied MathematicsMathematical analysisEngquist–Osher schemeEntropy solutions up-wind scheme Engquist–Osher scheme spectral analysis complex singularities granular flowsspectral analysiscomplex singularitiesComputational MathematicsSingularityEntropy solutions / up-wind scheme / Engquist–Osher scheme / spectral analysis / complex singularities / granular flowsModeling and SimulationSpectral analysisGravitational singularityFinite timeSettore MAT/07 - Fisica MatematicaAnalysisMathematics

description

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.

yearjournalcountryeditionlanguage
2020-02-18
10.1051/m2an/2019068http://hdl.handle.net/11589/191507