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Computation of Multiphase Systems with Phase Field Models
 

Summary: Computation of Multiphase Systems with
Phase Field Models
V. E. Badalassi b, H. D. Ceniceros a
aDepartment of Mathematics, University of California, Santa Barbara California
93106.
S. Banerjee b
bDepartment of Chemical Engineering, University of California, Santa Barbara
California 93106.
Abstract
Phase fields models offer a systematic physical approach for investigating complex
multiphase systems behaviors such as near-critical interfacial phenomena, phase
separation under shear, and microstructure evolution during solidification. How-
ever, because interfaces are replaced by thin transition regions (diffuse interfaces),
phase field simulations require resolution of very thin layers to capture the physics
of the problems studied. This demands robust numerical methods that can effi-
ciently achieve high resolution and accuracy, especially in three dimensions. We
present here an accurate and efficient numerical method to solve the coupled Cahn-
Hilliard/Navier-Stokes system, known as Model H, that constitutes a phase field
model for density-matched binary fluids with variable mobility and viscosity. The
numerical method is a time-split scheme that combines a novel semi-implicit dis-

  

Source: Akhmedov, Azer - Department of Mathematics, University of California at Santa Barbara

 

Collections: Mathematics