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Numerical Methods for Two-phase Incompressible Flows: Springer Series in Computational Mathematics, cartea 40

Autor Sven Gross, Arnold Reusken
en Limba Engleză Paperback – 15 iul 2013
This book is the first monograph providing an introduction to and an overview of numerical methods for the simulation of two-phase incompressible flows. The Navier-Stokes equations describing the fluid dynamics are examined in combination with models for mass and surfactant transport. The book pursues a comprehensive approach: important modeling issues are treated, appropriate weak formulations are derived, level set and finite element discretization techniques are analyzed, efficient iterative solvers are investigated, implementational aspects are considered and the results of numerical experiments are presented. The book is aimed at M Sc and PhD students and other researchers in the fields of Numerical Analysis and Computational Engineering Science interested in the numerical treatment of two-phase incompressible flows.


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Specificații

ISBN-13: 9783642268113
ISBN-10: 3642268110
Pagini: 500
Ilustrații: XVIII, 482 p.
Dimensiuni: 155 x 235 x 26 mm
Greutate: 0.69 kg
Ediția:2011
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Springer Series in Computational Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

Introduction.- Part I One-phase incompressible flows.- Mathematical models.- Finite element discretization.- Time integration.-

Recenzii

From the reviews:
“This book is a first work providing an introduction to and an overview of such numerical methods. Some important and specific topics are considered in five parts of the book. … The material is intelligible to readers with a basic knowledge of numerical treatment of one-phase flow problems. … a basic book to researchers already working in the field of numerical simulation of two-phase flows.” (Titus Petrila, Zentralblatt MATH, Vol. 1222, 2011)
“This book gives a mathematically rigorous introduction to the application of finite element methods in the field of incompressible two-phase flows. … the authors not only present an extensive literature review and a number of established results, but also identify several knowledge gaps where few results are known for two-phase flows. … I find this book highly interesting. In particular, I strongly recommend it as preparatory reading for the Ph.D. students or young scientists in the field … .” (Tore Flåtten, Mathematical Reviews, January, 2013)

Notă biografică

Arnold Reusken is professor of Numerical Analysis at RWTH-Aachen. His research areas are: analysis and application of multigrid techniques, finite element methods, fast iterative methods for discretized PDEs, numerical methods for two-phase incompressible flow problems. 
Sven Gross is a PostDoc at the Hausdorff Center for Mathematics working at the Institute for Numerical Simulation at the University of Bonn. His research interests are adaptive extended finite element methods for two-phase incompressible flows and inverse problems in the context of chemical engineering applications. He is one of the core-developers of the two-phase flow solver DROPS.

Textul de pe ultima copertă

This book is the first monograph providing an introduction to and an overview of numerical methods for the simulation of two-phase incompressible flows. The Navier-Stokes equations describing the fluid dynamics are examined in combination with models for mass and surfactant transport. The book pursues a comprehensive approach: important modeling issues are treated, appropriate weak formulations are derived, level set and finite element discretization techniques are analyzed, efficient iterative solvers are investigated, implementational aspects are considered and the results of numerical experiments are presented. The book is aimed at M Sc and PhD students and other researchers in the fields of Numerical Analysis and Computational Engineering Science interested in the numerical treatment of two-phase incompressible flows.



Caracteristici

The first monograph that deals with numerical methods for two-phase incompressible flow problems The complete simulation track is treated: from modeling via development and analysis of numerical methods to numerical experiments Results of many numerical experiments are presented that complement in depth mathematical analyses Includes supplementary material: sn.pub/extras