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Optimal parameters for a family of flux‐correction methods strongly reducing overshoot in unsteady flow computation
Author(s) -
Niessner Herbert
Publication year - 2018
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201800017
Subject(s) - overshoot (microwave communication) , computation , flux (metallurgy) , diffusion , flow (mathematics) , mathematics , control theory (sociology) , mechanics , mathematical optimization , mathematical analysis , computer science , physics , materials science , algorithm , thermodynamics , artificial intelligence , control (management) , telecommunications , metallurgy
Abstract Flux‐correction allows to reduce or even remove overshoot occuring when Lax‐Wendroff methods are used to calculate one‐dimensional flow. There is a whole family of methods [3] depending on two parameters, whose optimal values are derived. One controls the amount of diffusion to reduce overshoot, the other determines removal of this diffusion as far as overshoot does not reappear, thus largely retaining accuracy of the employed Lax‐Wendroff method.