Phase field benchmark problems targeting fluid flow and electrochemistry

A. M. Jokisaari*, W. Wu, P. W. Voorhees, J. E. Guyer, J. A. Warren, O. G. Heinonen

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


In this work, we continue our development of phase field model benchmark problems with the addition of a third set, complimenting our previously developed problems for diffusion, precipitation, dendritic growth and linear elasticity. These benchmark problems are being jointly developed by the Center for Hierarchical Materials Design (CHiMaD) and the National Institute of Standards and Technology (NIST) along with input from the phase field community. The first problem in this third set targets Stokes flow, with a particular emphasis on flow around an obstruction placed asymmetrically in the domain. While Stokes flow is not traditionally in the canon of phase field problems, it is a class of problems gaining importance in areas such as filtration and water purification. The second problem deals with coupled Cahn-Hilliard diffusion and electrostatic forces, which is an important area in energy storage and battery sciences. We present our own solutions and discuss sources of numerical errors for the Stokes problem as well as simple checks to avoid fundamental issues in the coupled diffusion-electrostatics problem. The latter problem contains some subtleties that we expand on in an Appendix.

Original languageEnglish (US)
Article number109548
JournalComputational Materials Science
StatePublished - Apr 15 2020


  • Benchmark
  • Electrochemistry
  • Phase field
  • Stokes flow

ASJC Scopus subject areas

  • Computer Science(all)
  • Chemistry(all)
  • Materials Science(all)
  • Mechanics of Materials
  • Physics and Astronomy(all)
  • Computational Mathematics

Fingerprint Dive into the research topics of 'Phase field benchmark problems targeting fluid flow and electrochemistry'. Together they form a unique fingerprint.

Cite this