Mathematics: Numerical Analysis and Scientific Computing

Mathematics: Numerical Analysis and Scientific Computing


Marketed By :  LAP LAMBERT Academic Publishing   Sold By :  Kamal Books International  
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  • Product Description

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.

Product Specifications
SKU :COC24554
Country of ManufactureIndia
Product BrandLAP LAMBERT Academic Publishing
Product Packaging InfoBox
In The Box1 Piece
Product First Available On ClickOnCare.com2015-07-28
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