Reduction of the mathematical model of liquid flow within an instability

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F19%3APU131790" target="_blank" >RIV/00216305:26210/19:PU131790 - isvavai.cz</a>
Result on the web
<a href="https://iopscience.iop.org/article/10.1088/1755-1315/240/7/072026" target="_blank" >https://iopscience.iop.org/article/10.1088/1755-1315/240/7/072026</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1755-1315/240/7/072026" target="_blank" >10.1088/1755-1315/240/7/072026</a>

Result language
angličtina
Original language name
Reduction of the mathematical model of liquid flow within an instability
Original language description
The instability of stationary vortex structures is manifested by an oscillation at several fundamental frequencies which are associated with characteristic shapes. It is caused by the non-linear convective terms in the Navier-Stokes equations. The frequency of unstable oscillation can be detected by the Fourier transform of the velocity and the pressure field themselves or their constitutive modes. It is this knowledge of the constitutive modes that is the basis for using the inverse method to define a reduced mathematical model in a finite-dimensional space. This model allows to analyze the vortex structures in the region of instability and their dependence on inhomogeneous boundary conditions. Present paper describes the essential steps of deriving an inverse method. The inverse method is applied to fluid flow in the draft tube of a swirl generator. The dynamic mode decomposition and the discrete Fourier transform of the flow field are assessed as possible methods that can provide the modal and spectral matrix for the model.
Czech name
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Czech description
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
IOP Conference Series: Earth and Environmental Science
ISBN
—
ISSN
1755-1315
e-ISSN
—
Number of pages
10
Pages from-to
1-10
Publisher name
Neuveden
Place of publication
neuveden
Event location
Kyoto
Event date
Sep 17, 2018
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000560282602074

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