© 2017

Transport Processes at Fluidic Interfaces

  • Dieter Bothe
  • Arnold Reusken

Part of the Advances in Mathematical Fluid Mechanics book series (AMFM)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Numerical Methods for Sharp Interface Models

    1. Front Matter
      Pages 1-4
    2. Sashikumaar Ganesan, Andreas Hahn, Kristin Simon, Lutz Tobiska
      Pages 5-31
    3. Thomas Utz, Christina Kallendorf, Florian Kummer, Björn Müller, Martin Oberlack
      Pages 65-91
    4. Stephan Weller, Eberhard Bänsch
      Pages 121-143
    5. Michael Griebel, Christian Rieger, Alexander Schier
      Pages 145-175
    6. Ingo Nitschke, Sebastian Reuther, Axel Voigt
      Pages 177-197
  3. Analysis and Simulation of Diffusive Interface Models

  4. Experimental and Numerical Investigation of Interfacial Phenomena

    1. Front Matter
      Pages 391-393
    2. Chiara Pesci, Holger Marschall, Talmira Kairaliyeva, Vamseekrishna Ulaganathan, Reinhard Miller, Dieter Bothe
      Pages 395-444
    3. Kerstin Eckert, Thomas Köllner, Karin Schwarzenberger, Thomas Boeck
      Pages 445-488

About this book


There are several physico-chemical processes that determine the behavior of multiphase fluid systems – e.g., the fluid dynamics in the different phases and the dynamics of the interface(s), mass transport between the fluids, adsorption effects at the interface, and transport of surfactants on the interface – and result in heterogeneous interface properties. In general, these processes are strongly coupled and local properties of the interface play a crucial role. A thorough understanding of the behavior of such complex flow problems must be based on physically sound mathematical models, which especially account for the local processes at the interface.

This book presents recent findings on the rigorous derivation and mathematical analysis of such models and on the development of numerical methods for direct numerical simulations. Validation results are based on specifically designed experiments using high-resolution experimental techniques. A special feature of this book is its focus on an interdisciplinary research approach combining Applied Analysis, Numerical Mathematics, Interface Physics and Chemistry, as well as relevant research areas in the Engineering Sciences. The contributions originated from the joint interdisciplinary research projects in the DFG Priority Programme SPP 1506 “Transport Processes at Fluidic Interfaces.”


Interfacial Transport Processes Phenomena at Fluidic Interfaces Diffuse and Sharp Interface Continuum Models Numerical Simulation Methods 3D Local Validation Data High-Resolution Experimental Techniques

Editors and affiliations

  • Dieter Bothe
    • 1
  • Arnold Reusken
    • 2
  1. 1.Fachbereich MathematikTechnische Universität Darmstadt DarmstadtGermany
  2. 2.Institut für Geometrie und Praktische MathematikRWTH Aachen UniversityAachenGermany

About the editors

Dieter Bothe is Professor for Mathematical Modeling and Analysis in the Department of Mathematics and at the Center of Smart Interfaces at Technical University of Darmstadt. His research concerns nonlinear evolution equations, reaction-diffusion systems and transport processes in two-phase flows, combining modeling with mathematical analysis and numerical simulations.

Arnold Reusken is Professor of Numerical Analysis at RWTH-Aachen. His research areas concerns analysis and application of multigrid solvers and other fast iterative methods for discretized PDEs, finite element methods and numerical methods for the simulation of two-phase incompressible flow problems.

Bibliographic information