Numerical Investigation of Thin Film Spreading Driven by Surfactant Using Upwind Schemes
Joint Authors
Rashidi, Mohammad Mehdi
Momoniat, Ebrahim
Herbst, R. S.
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-23
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Numerical solutions of a coupled system of nonlinear partial differential equations modelling the effects of surfactant on the spreading of a thin film on a horizontal substrate are investigated.
A CFL condition is obtained from a von Neumann stability analysis of a linearised system of equations.
Numerical solutions obtained from a Roe upwind scheme with a third-order TVD Runge-Kutta approximation to the time derivative are compared to solutions obtained with a Roe-Sweby scheme coupled to a minmod limiter and a TVD approximation to the time derivative.
Results from both of these schemes are compared to a Roe upwind scheme and a BDF approximation to the time derivative.
In all three cases high-order approximations to the spatial derivatives are employed on the interior points of the spatial domain.
The Roe-BDF scheme is shown to be an efficient numerical scheme for capturing sharp changes in gradient in the free surface profile and surfactant concentration.
Numerical simulations of an initial exponential free surface profile coupled with initial surfactant concentrations for both exogenous and endogenous surfactants are considered.
American Psychological Association (APA)
Momoniat, Ebrahim& Rashidi, Mohammad Mehdi& Herbst, R. S.. 2013. Numerical Investigation of Thin Film Spreading Driven by Surfactant Using Upwind Schemes. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-1031810
Modern Language Association (MLA)
Momoniat, Ebrahim…[et al.]. Numerical Investigation of Thin Film Spreading Driven by Surfactant Using Upwind Schemes. Mathematical Problems in Engineering No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-1031810
American Medical Association (AMA)
Momoniat, Ebrahim& Rashidi, Mohammad Mehdi& Herbst, R. S.. Numerical Investigation of Thin Film Spreading Driven by Surfactant Using Upwind Schemes. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-1031810
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1031810