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An enhanced non-oscillatory BFECC algorithm for finite element solution of advective transport problems

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10.1016/j.cma.2022.114576
 
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Hashemi, Mohammad RezaMés informacióMés informació
Rossi, RiccardoMés informacióMés informacióMés informació
Ryzhakov, PavelMés informacióMés informacióMés informació
Document typeArticle
Defense date2022-03
Rights accessOpen Access
Attribution 3.0 Spain
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution 3.0 Spain
Abstract
In this paper, the so-called “back and forth error compensation correction (BFECC)” methodology is utilized to improve the solvers developed for the advection equation. Strict obedience to the so-called “discrete maximum principle” is enforced by incorporating a gradient–based limiter into the BFECC algorithm. The accuracy of the BFECC algorithm in capturing the steep–fronts in hyperbolic scalar–transport problems is improved by introducing a controlled anti–di¿usivity. This is achieved at the cost of performing an additional backward sub–solution–step and modifying the formulation of the error compensation accordingly. The performance of the proposed methodology is assessed by solving a series of benchmarks utilizing di¿erent combinations of the BFECC algorithms and the underlying numerical schemes. Results are presented for both the structured and unstructured meshes.
CitationHashemi, M.R.; Rossi, R.; Ryzhakov, P. An enhanced non-oscillatory BFECC algorithm for finite element solution of advective transport problems. "Computer methods in applied mechanics and engineering", Març 2022, vol. 391, p. 114576:1-114576:24. 
URIhttp://hdl.handle.net/2117/364844
DOI10.1016/j.cma.2022.114576
ISSN0045-7825
Publisher versionhttps://www.sciencedirect.com/science/article/pii/S0045782522000044
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