izpis_h1_title_alt

Moving-boundary problems solved by adaptive radial basis functions
Vrankar, Leopold (Avtor), Kansa, Edward J. (Avtor), Ling, Leevan (Avtor), Runovc, Franc (Avtor), Turk, Goran (Avtor)

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Izvleček
The objective of this paper is to present an alternative approach to the conventional level set methods for solving two-dimensional moving-boundary problems known as the passive transport. Moving boundaries are associated with time-dependent problems and the position of the boundaries need to be determined as a function of time and space. The level set method has become an attractive design tool for tracking, modeling and simulating the motion of free boundaries in fluid mechanics, combustion, computer animation and image processing. Recent research on the numerical method has focused on the idea of using a meshless methodology for the numerical solution of partial differential equations. In the present approach, the moving interface is captured by the level set method at all time with the zero contour of a smooth function known as the level set function. A new approach is used to solve a convective transport equation for advancing the level set function in time. This new approach is based on the asymmetric meshless collocation method and the adaptive greedy algorithm for trial subspaces selection. Numerical simulations are performed to verify the accuracy and stability of the new numerical scheme which is then applied to simulate a bubble that is moving, stretching and circulating in an ambient flow to demonstrate the performance of the new meshless approach. (C) 2010 Elsevier Ltd. All rights reserved.

Jezik:Angleški jezik
Ključne besede:Stefan problems, level set method, multiquadric, partial differential equations, greedy algorithm
Tipologija:1.01 - Izvirni znanstveni članek
Organizacija:FGG - Fakulteta za gradbeništvo in geodezijo
Leto izida:2010
Založnik:Elsevier
Št. strani:p. 1480-1490
Številčenje:Vol. 39, no. 9
UDK:531:62:51-7
ISSN pri članku:0045-7930
DOI:10.1016/j.compfluid.2010.04.015 Povezava se odpre v novem oknu
COBISS.SI-ID:5041761 Povezava se odpre v novem oknu
Število ogledov:265
Število prenosov:135
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Gradivo je del revije

Naslov:Computers & Fluids
Skrajšan naslov:Comput. fluids
Založnik:Pergamon Press.
ISSN:0045-7930
COBISS.SI-ID:25263872 Novo okno

Sekundarni jezik

Jezik:Angleški jezik
Ključne besede:Stefanovi problemi, metoda "level-set", multikvadratična funkcija, parcialne diferencialne enačbe, algoritem "Greedy"

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