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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.

Flows (Differentiable dynamical systems). --- Numerical analysis. --- Viscous flow --- Navier-Stokes equations --- Fluid mechanics --- Numerical analysis --- Engineering & Applied Sciences --- Mathematics --- Physical Sciences & Mathematics --- Applied Mathematics --- Mathematics - General --- Mathematical models --- Numerical solutions --- Flows (Differentiable dynamical systems) --- Mathematics. --- Computer mathematics. --- Applied mathematics. --- Engineering mathematics. --- Fluid mechanics. --- Mechanical engineering. --- Computational Mathematics and Numerical Analysis. --- Appl.Mathematics/Computational Methods of Engineering. --- Engineering Fluid Dynamics. --- Mechanical Engineering. --- Mathematical analysis --- Differentiable dynamical systems --- Computer science --- Hydraulic engineering. --- Mathematical and Computational Engineering. --- Engineering, Mechanical --- Engineering --- Machinery --- Steam engineering --- Engineering, Hydraulic --- Hydraulics --- Shore protection --- Engineering analysis --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Hydromechanics --- Continuum mechanics