Transport Processes at Fluidic Interfaces

Chapter 1: Numerical Methods for Sharp Interface Models

• • ALE-FEM for Two-Phase and Free Surface Flows with Surfactants
• • High Order Unfitted Finite Element Methods for Interface Problems and PDEs on Surfaces
• • An Extended Discontinuous Galerkin Framework for Multiphase Flows
• • Building Blocks for a Strictly Conservative Generalized Finite Volume Projection Method for Zero Mach Number Two-Phase Flows
• • Time Discretization for Capillary Flow: Beyond Backward Euler
• • Upwind Schemes for Scalar Advection-Dominated Problems in the Discrete Exterior Calculus
• • Discrete Exterior Calculus (DEC) for the Surface Navier-Stokes Equation

Chapter 2: Analysis and Simulation of Diffusive Interface Models

• • Diffuse Interface Models for Incompressible Two-Phase Flows with Different Densities
• • Sharp Interface Limits for Diffuse Interface Models for Two-Phase Flows of Viscous Incompressible Fluids
• • Two-Phase Flow with Surfactants: Diffuse Interface Models and Their Analysis
• • Phase Field Models for Two-Phase Flow with Surfactants and Biomembranes
• • Micro-Macro-Models for Two-Phase Flow of Dilute Polymeric Solutions: Macroscopic Limit, Analysis, and Numerics
• • Fully Adaptive and Integrated Numerical Methods for the Simulation and Control of Variable Density Multiphase Flows Governed by Diffuse Interface Models
• • Dynamical Stability of Diffuse Phase Boundaries in Compressible Fluids

Chapter 3: Experimental and Numerical Investigation of Interfacial Phenomena

• • Experimental and Computational Analysis of Fluid Interfaces Influenced by Soluble Surfactant
• • Complex Patterns and Elementary Structures of Solutal Marangoni Convection: Experimental and Numerical Studies