A high order positivity preserving DG method for coagulation-fragmentation equations

Autor:	Liu, Hailiang, Gröpler, Robin, Warnecke, Gerald
Rok vydání:	2017
Předmět:	Mathematics - Numerical Analysis 65M60 65M12 65R20 35L65 82C22
Druh dokumentu:	Working Paper
Popis:	We design, analyze and numerically validate a novel discontinuous Galerkin method for solving the coagulation-fragmentation equations. The DG discretization is applied to the conservative form of the model, with flux terms evaluated by Gaussian quadrature with $Q=k+1$ quadrature points for polynomials of degree $k$. The positivity of the numerical solution is enforced through a simple scaling limiter based on positive cell averages. The positivity of cell averages is propagated by the time discretization provided a proper time step restriction is imposed. Comment: 16 pages, 2 figures, 6 tables
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1710.00964 Zobrazit plný text záznamu View this record from Arxiv