Energetic variational approaches in modeling vesicle and fluid interactions

Qiang Du, Chun Liu, Rolf Ryham, Xiaoqiang Wang

Research output: Contribution to journalArticlepeer-review

64 Scopus citations


In this paper, we establish a hydrodynamic system to study vesicle deformations under external flow fields. The system is in the Eulerian formulation, involving the coupling of the incompressible flow system and a phase field equation. The phase field mixing energy can be viewed as a physical approximation/regularization of the Helfrich energy for an elastic membrane. We derive a self-consistent system of equations describing the dynamic evolution of vesicles immersed in an incompressible, Newtonian fluid, using an energetic variational approach. Numerical simulations of the membrane deformations in flow fields can be conducted based on the developed model.

Original languageEnglish (US)
Pages (from-to)923-930
Number of pages8
JournalPhysica D: Nonlinear Phenomena
Issue number9-10
StatePublished - May 15 2009

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Applied Mathematics


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