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Please use this identifier to cite or link to this item: http://dspace.ucuenca.edu.ec/handle/123456789/35349
Title: Isogeometric analysis of insoluble surfactant spreading on a thin film
Authors: Medina, David
Valizadeh, Navid
Samaniego Alvarado, Esteban Patricio
Jerves, Alex X
Rabczuk, Timon
metadata.dc.ucuenca.correspondencia: Rabczuk, Timon, timon.rabczuk@tdtu.edu.vn
Keywords: Fingering instability
High-order PDEs
Isogeometric analysis
Thin film
Computational mechanics
General physics and astronomy
Mechanical engineering
Computer science applications
Insoluble surfactant spreading
Mechanics of materials
metadata.dc.ucuenca.areaconocimientofrascatiamplio: 2. Ingeniería y Tecnología
metadata.dc.ucuenca.areaconocimientofrascatidetallado: 2.2.4 Ingeniería de La Comunicación y de Sistemas
metadata.dc.ucuenca.areaconocimientofrascatiespecifico: 2.2 Ingenierias Eléctrica, Electrónica e Información
metadata.dc.ucuenca.areaconocimientounescoamplio: 06 - Información y Comunicación (TIC)
metadata.dc.ucuenca.areaconocimientounescodetallado: 0611 - El uso del Ordenador
metadata.dc.ucuenca.areaconocimientounescoespecifico: 061 - Información y Comunicación (TIC)
Issue Date: 2020
metadata.dc.ucuenca.volumen: Volumen 370, número 1
metadata.dc.source: Computer Methods in Applied Mechanics and Engineering
metadata.dc.identifier.doi: 10.1016/J.CMA.2020.113272
metadata.dc.type: ARTÍCULO
Abstract In this paper we tackle the problem of surfactant spreading on a thin liquid film in the framework of isogeometric analysis. We consider a mathematical model that describes this phenomenon as an initial boundary value problem (IBVP) that includes two coupled fourth order partial differential equations (PDEs), one for the film height and one for the surfactant concentration. In order to solve this problem numerically, it is customary to transform it into a mixed problem that includes at most second order PDEs. However, the higher-order continuity of the approximation functions in Isogeometric Analysis (IGA) allows us to deal with the weak form of the fourth order PDEs directly, without the need of resorting to mixed methods. We demonstrate numerically that the IGA solution is able to reproduce results obtained before with mixed approaches. Complex phenomena such as Marangoni-driven fingering instabilities triggered by perturbations are easily captured.
URI: https://www.scopus.com/record/display.uri?eid=2-s2.0-85087735897&origin=resultslist&sort=plf-f&src=s&st1=ISOGEOMETRIC+ANALYSIS+OF+INSOLUBLE+SURFACTANT+SPREADING+ON+A+THIN+FILM&sid=df676ea5bd552d258a091cda323c4c7b&sot=b&sdt=b&sl=85&s=TITLE-ABS-KEY%28ISOGEOMETRIC+ANALYSIS+OF+INSOLUBLE+SURFACTANT+SPREADING+ON+A+THIN+FILM%29&relpos=0&citeCnt=2&searchTerm=
metadata.dc.ucuenca.urifuente: https://www.journals.elsevier.com/computer-methods-in-applied-mechanics-and-engineering
ISSN: 0045-7825
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