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On the filtering of spurious oscillations in the numerical simulations of convection dominated problems
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SYSNO ASEP 0518275 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title On the filtering of spurious oscillations in the numerical simulations of convection dominated problems Author(s) Sequeira, A. (PT)
Bodnár, Tomáš (MU-W) RID, SAI, ORCIDSource Title Vietnam Journal of Mathematics - ISSN 2305-221X
Roč. 47, č. 4 (2019), s. 851-864Number of pages 14 s. Language eng - English Country SG - Singapore Keywords data filtering ; finite-volume ; smoothing ; stabilization Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA16-03230S GA ČR - Czech Science Foundation (CSF) Method of publishing Limited access Institutional support MU-W - RVO:67985840 UT WOS 000511490600005 EID SCOPUS 85073995733 DOI 10.1007/s10013-019-00369-z Annotation This paper presents the numerical filtering as a valuable tool used for the removal of spurious oscillations in the numerical solution of some specific fluids flows. The qualitative results based on the application of two distinct representative filters are discussed. The compact low-pass filters and the digital Total Variation Diminishing (TVD) filters are described as examples of the filtering approach. Their use is shown on selected one-dimensional advection problems, demonstrating the essential behavior of the filtered solution. Finally an example of a more realistic biomedical problem solved using finite-volume scheme is discussed including the effect of the digital filter. The conclusions sum up some of the experience from the application of both filtering techniques. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2020 Electronic address http://dx.doi.org/10.1007/s10013-019-00369-z
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