Hyperbolization of the Eulerian droplet equations and their solution by the finite element method

In this paper the system of water droplet equations is written out. The type of equations is investigated and it is shown that the system is parabolic, which is caused by the absence of a complete system of linearly independent eigenvectors. A way of hyperbolizing this system, transforming it to a h...

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1. Verfasser:	Duong, Tai D.
Format:	Tagungsbericht
Sprache:	eng
Schlagworte:	Basis functions Circular cylinders Droplets Eigenvectors Finite element method Galerkin method Mathematical analysis Water drops
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description	In this paper the system of water droplet equations is written out. The type of equations is investigated and it is shown that the system is parabolic, which is caused by the absence of a complete system of linearly independent eigenvectors. A way of hyperbolizing this system, transforming it to a hyperbolic type, is presented. The obtained equations are realized by the high accuracy Galerkin method with discontinuous basis functions (DGM). The testing was carried out, which showed the advantage of the DGM method. Two tests are given. The finely-dispersed aqueous mixture flow of non- viscous gas around a circular cylinder and NACA-64A008 wing show that the results of numerical calculations are in satisfactory agreement with the experimental data.
doi_str_mv	10.1063/5.0068428
format	Conference Proceeding
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The type of equations is investigated and it is shown that the system is parabolic, which is caused by the absence of a complete system of linearly independent eigenvectors. A way of hyperbolizing this system, transforming it to a hyperbolic type, is presented. The obtained equations are realized by the high accuracy Galerkin method with discontinuous basis functions (DGM). The testing was carried out, which showed the advantage of the DGM method. Two tests are given. The finely-dispersed aqueous mixture flow of non- viscous gas around a circular cylinder and NACA-64A008 wing show that the results of numerical calculations are in satisfactory agreement with the experimental data.</description><identifier>ISSN: 0094-243X</identifier><identifier>EISSN: 1551-7616</identifier><identifier>DOI: 10.1063/5.0068428</identifier><identifier>CODEN: APCPCS</identifier><language>eng</language><publisher>Melville: American Institute of Physics</publisher><subject>Basis functions ; Circular cylinders ; Droplets ; Eigenvectors ; Finite element method ; Galerkin method ; Mathematical analysis ; Water drops</subject><ispartof>AIP Conference Proceedings, 2021, Vol.2420 (1)</ispartof><rights>Author(s)</rights><rights>2021 Author(s). 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subjects	Basis functions Circular cylinders Droplets Eigenvectors Finite element method Galerkin method Mathematical analysis Water drops
title	Hyperbolization of the Eulerian droplet equations and their solution by the finite element method
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