Numerical Simulation of Incompressible Viscous Flow: Methods and Applications

Description

The series is devoted to the publication of high-level monographs and specialized graduate texts which cover the whole spectrum of applied mathematics, including its numerical aspects. The focus of the series is on the interplay between mathematical and numerical analysis, and also on its applications to mathematical models in the physical and life sciences. The aim of the series is to be an active forum for the dissemination of up-to-date information in the form of authoritative works that will serve the applied mathematics community as the basis for further research. Editorial Board Rémi Abgrall, Universität Zürich, Switzerland José Antonio Carrillo de la Plata, University of Oxford, UK Jean-Michel Coron, Université Pierre et Marie Curie, Paris, France Athanassios S. Fokas, Cambridge University, UK Irene Fonseca, Carnegie Mellon University, Pittsburgh, USA Preface Contents 1 Governing equations 2 Operator splitting methods for initial value problems: Application to the Navier–Stokes equations 3 Advection problems 4 Numerical solution of the generalized Stokes-type subproblems 5 Finite-element approximation of the Navier–Stokes equations 6 Numerical experiments: Description and results 7 Further applications (I): A distributed Lagrange multiplier/fictitious-domain method for simulating lid-driven viscous flows in a hemispherical cavity 8 Further applications (II): On the simulation of the lid-driven cavity flow of an Oldroyd-B fluid 9 Further applications (III): A distributed Lagrange multiplier/fictitious-domain method for simulating particles settling in an Oldroyd-B fluid Bibliography Index