Mathematics: Numerical Analysis and Scientific Computing | Finite Volume Methods for Advection Diffusion on Moving Interfaces and Application on Surfactant Driven Thin Film Flow

Simplice Firmin Nemadjieu

ISBN 10: 3659263001 / ISBN 13: 9783659263002

Verlag: LAP Lambert Academic Publishing, 2012

Mathematics: Numerical Analysis and Scientific Computing | Finite Volume Methods for Advection Diffusion on Moving Interfaces and Application on Surfactant Driven Thin Film Flow | Simplice Firmin Nemadjieu | Taschenbuch | Englisch | LAP Lambert Academic Publishing | EAN 9783659263002 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu. Bestandsnummer des Verkäufers 106190615

Inhaltsangabe:

The book is divided into two parts. First, we present two finite volumes schemes for the discretization of convection-diffusion-reaction problems on moving surfaces. The first scheme extends the two points flux approximation finite volumes on moving surfaces. The second scheme presents a finite volume scheme of type O-method. Here, we construct around the mesh vertices a linear approximation of the solution to the given problem using the unknowns located at cells' centers. A suitable flux continuity on cells interfaces in incorporated. The method allows also the construction of a second order upwind for convection operators; which makes the overall scheme second order in space. Next, we model the flow of a surfactant driven thin-film. Here, the use of tensor theory combined with lubrication approximation helps to reduce the Navier-Stokes equations describing the flow of the thin-film in three dimensions to a fourth order equation stated on the moving curved surface whose unknown is the film height. The surfactant, assumed to be insoluble, is modeled by a convection-diffusion equation on the fluid-air interface. We simulate the coupled system using an interface tracking method.

Bibliografische Details

Titel: Mathematics: Numerical Analysis and ...
Verlag: LAP Lambert Academic Publishing
Erscheinungsdatum: 2012
Einband: Taschenbuch
Zustand: Neu