A Linearity Preserving Algebraic Flux Correction Scheme of Upwind Type Satisfying the Discrete Maximum Principle on Arbitrary Meshes

Petr Knobloch

doi:10.1007/978-3-319-96415-7_86

A Linearity Preserving Algebraic Flux Correction Scheme of Upwind Type Satisfying the Discrete Maximum Principle on Arbitrary Meshes

Petr Knobloch

https://doi.org/10.1007/978-3-319-96415-7_86

Copy DOI

Publication Date: Jan 1, 2019

Citations: 2

Affiliation: Charles University

#Algebraic Flux Correction Scheme #Algebraic Flux Correction + Show 8 more

Abstract
Full-Text PDF
Similar Papers

Abstract

Various choices of limiters in the framework of algebraic flux correction (AFC) schemes applied to the numerical solution of scalar steady-state convection–diffusion–reaction equations are discussed. A new limiter of upwind type is proposed for which the AFC scheme satisfies the discrete maximum principle and linearity preservation property on arbitrary meshes.

Full Text