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

Nemadjieu, Simplice Firmin

 
9783659263002: Mathematics: Numerical Analysis and Scientific Computing: Finite Volume Methods for Advection Diffusion on Moving Interfaces and Application on Surfactant Driven Thin Film Flow
Couverture souple
ISBN 10 : 3659263001 ISBN 13 : 9783659263002
Editeur : LAP LAMBERT Academic Publishing, 2012

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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.

Biographie de l'auteur

Simplice Firmin Nemadjieu was born on the 18th February 1975 in Bafang-Cameroon. He studied mathematics at the university of Douala, the university of Yaounde and the Higher Teachers Training College in Cameroon. He obtained a PhD in mathematics in 2012 at the university of Bonn in Germany.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2012
Langue
anglais
ISBN 10 
3659263001
ISBN 13 
9783659263002
Reliure
Broché
Nombre de pages
152
Coordonnées du fabricant
non disponible
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