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

被引：2

作者：

Coclite, Giuseppe Maria ^{[1
]}

Gargano, Francesco ^{[2
]}

Sciacca, Vincenzo ^{[3
]}

机构：

[1] Politecn Bari, Dipartimento Meccan Matemat & Management, Via Orabona 4, I-70125 Bari, Italy

[2] Univ Palermo, Dipartimento Ingn, Viale Sci,Ed 8, I-90128 Palermo, Italy

[3] Univ Palermo, Dipartimento Matemat & Informat, Via Archirafi 34, I-90123 Palermo, Italy

来源：

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 2020年 / 54卷 / 02期

关键词：

Entropy solutions; up-wind scheme; Engquist-Osher scheme; spectral analysis; complex singularities; granular flows; COMPLEX SINGULARITIES; CONSERVATION-LAWS; WELL-POSEDNESS; VORTEX-SHEET; CAMASSA-HOLM; EULER FLOW; CONVERGENCE; TRACKING; EQUATION; SCHEMES;

D O I：

10.1051/m2an/2019068

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：465 / 492

页数：28

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