Leopold Vrankar (Avtor), Edward J. Kansa (Avtor), Leevan Ling (Avtor), Franc Runovc (Avtor), Goran Turk (Avtor)

Povzetek

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.

Ključne besede

Stefanovi problemi;metoda "level-set";multikvadratična funkcija;parcialne diferencialne enačbe;algoritem "Greedy";Stefan problems;level set method;multiquadric;partial differential equations;greedy algorithm;

Podatki

Jezik: Angleški jezik
Leto izida:
Tipologija: 1.01 - Izvirni znanstveni članek
Organizacija: UL FGG - Fakulteta za gradbeništvo in geodezijo
Založnik: Elsevier
UDK: 531:62:51-7
COBISS: 5041761 Povezava se bo odprla v novem oknu
ISSN: 0045-7930
Št. ogledov: 2344
Št. prenosov: 862
Ocena: 0 (0 glasov)
Metapodatki: JSON JSON-RDF JSON-LD TURTLE N-TRIPLES XML RDFA MICRODATA DC-XML DC-RDF RDF

Ostali podatki

Sekundarni jezik: Angleški jezik
Sekundarne ključne besede: Stefanovi problemi;metoda "level-set";multikvadratična funkcija;parcialne diferencialne enačbe;algoritem "Greedy";
Vrsta datoteke: application/pdf
Vrsta dela (COBISS): Delo ni kategorizirano
Strani: p. 1480-1490
Letnik: ǂVol. ǂ39
Zvezek: ǂno. ǂ9
Čas izdaje: 2010
DOI: 10.1016/j.compfluid.2010.04.015
ID: 8312267