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A DIFFUSE-INTERFACE APPROACH FOR MODELING TRANSPORT, DIFFUSION AND ADSORPTION/DESORPTION OF MATERIAL QUANTITIES ON A

Knut Erik Teigen1, Xiangrong Li, John Lowengrub

  • 1Department of Energy and Process Engineering, Norwegian University of Science and Technology, 7491 Trondheim, Norway ( knut.erik.teigen@ntnu.no ).

Communications in Mathematical Sciences
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PubMed
Summary
This summary is machine-generated.

A novel diffuse interface method accurately solves complex two-phase flow problems with dynamic interfaces and material exchange. This computational fluid dynamics approach enhances simulations of interfacial phenomena, including surfactant transport.

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Area of Science:

  • Computational fluid dynamics
  • Interface physics
  • Numerical methods

Background:

  • Two-phase flow problems with dynamic interfaces are computationally challenging.
  • Modeling material adsorption/desorption on evolving interfaces requires robust numerical techniques.

Purpose of the Study:

  • To present a new diffuse interface method for solving complex two-phase problems.
  • To demonstrate the method's applicability to interfaces with advection, stretching, and topology changes.
  • To validate the approach using interfacial flow with soluble surfactants.

Main Methods:

  • Utilized a diffuse interface framework for simplified implementation.
  • Employed finite-difference methods on a block-structured adaptive grid.
  • Solved the resulting equations using a non-linear multigrid method.

Main Results:

  • The method effectively handles advected, stretched, and topology-changing interfaces.
  • Accurate simulation of material adsorption and desorption was achieved.
  • Test cases, including soluble surfactants, demonstrated excellent accuracy and convergence.

Conclusions:

  • The presented diffuse interface method offers a robust and accurate solution for complex two-phase flow problems.
  • The framework facilitates straightforward implementation with standard numerical techniques.
  • This approach is highly suitable for simulating interfacial phenomena with dynamic material exchange.