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Title: Formation and evolution of target patterns in Cahn-Hilliard flows

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Grant/Contract Number:  
FG02-04ER54738; SC0008378
Resource Type:
Publisher's Accepted Manuscript
Journal Name:
Physical Review E
Additional Journal Information:
Journal Name: Physical Review E Journal Volume: 96 Journal Issue: 4; Journal ID: ISSN 2470-0045
American Physical Society
Country of Publication:
United States

Citation Formats

Fan, Xiang, Diamond, P. H., and Chacón, L. Formation and evolution of target patterns in Cahn-Hilliard flows. United States: N. p., 2017. Web. doi:10.1103/PhysRevE.96.041101.
Fan, Xiang, Diamond, P. H., & Chacón, L. Formation and evolution of target patterns in Cahn-Hilliard flows. United States.
Fan, Xiang, Diamond, P. H., and Chacón, L. Tue . "Formation and evolution of target patterns in Cahn-Hilliard flows". United States.
title = {Formation and evolution of target patterns in Cahn-Hilliard flows},
author = {Fan, Xiang and Diamond, P. H. and Chacón, L.},
abstractNote = {},
doi = {10.1103/PhysRevE.96.041101},
journal = {Physical Review E},
number = 4,
volume = 96,
place = {United States},
year = {2017},
month = {10}

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Works referenced in this record:

Isogeometric analysis of the advective Cahn–Hilliard equation: Spinodal decomposition under shear flow
journal, June 2013

Homogenization of potential vorticity in planetary gyres
journal, September 1982

Second order schemes and time-step adaptivity for Allen–Cahn and Cahn–Hilliard models
journal, October 2014

  • Guillén-González, Francisco; Tierra, Giordano
  • Computers & Mathematics with Applications, Vol. 68, Issue 8
  • DOI: 10.1016/j.camwa.2014.07.014

Turbulence in binary fluid mixtures
journal, June 1981

Quasi–incompressible Cahn–Hilliard fluids and topological transitions
journal, October 1998

  • Lowengrub, J.; Truskinovsky, L.
  • Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, Vol. 454, Issue 1978
  • DOI: 10.1098/rspa.1998.0273

Droplet size distribution in homogeneous isotropic turbulence
journal, June 2012

  • Perlekar, Prasad; Biferale, Luca; Sbragaglia, Mauro
  • Physics of Fluids, Vol. 24, Issue 6
  • DOI: 10.1063/1.4719144

Numerical Methods for Solving the Cahn–Hilliard Equation and Its Applicability to Related Energy-Based Models
journal, May 2014

  • Tierra, G.; Guillén-González, F.
  • Archives of Computational Methods in Engineering, Vol. 22, Issue 2
  • DOI: 10.1007/s11831-014-9112-1

How mesoscopic staircases condense to macroscopic barriers in confined plasma turbulence
journal, November 2016

Phase transition of polymer mixtures under simple shear flow
journal, March 1993

  • Hashimoto, Takeji; Takebe, Tomoaki; Asakawa, Koji
  • Physica A: Statistical Mechanics and its Applications, Vol. 194, Issue 1-4
  • DOI: 10.1016/0378-4371(93)90367-D

Spinodal Decomposition in Homogeneous and Isotropic Turbulence
journal, January 2014

Morphological evolution of domains in spinodal decomposition
journal, January 2015

Two-dimensional Turbulence in Symmetric Binary-Fluid Mixtures: Coarsening Arrest by the Inverse Cascade
journal, March 2017

  • Perlekar, Prasad; Pal, Nairita; Pandit, Rahul
  • Scientific Reports, Vol. 7, Issue 1
  • DOI: 10.1038/srep44589

Cascades and spectra of a turbulent spinodal decomposition in two-dimensional symmetric binary liquid mixtures
journal, September 2016

On the emergence of macroscopic transport barriers from staircase structures
journal, January 2017

  • Ashourvan, Arash; Diamond, P. H.
  • Physics of Plasmas, Vol. 24, Issue 1
  • DOI: 10.1063/1.4973660

Hall MHD effects on the 2D Kelvin–Helmholtz/tearing instability
journal, February 2003

Binary-fluid turbulence: Signatures of multifractal droplet dynamics and dissipation reduction
journal, June 2016

Conservative multigrid methods for Cahn–Hilliard fluids
journal, January 2004

  • Kim, Junseok; Kang, Kyungkeun; Lowengrub, John
  • Journal of Computational Physics, Vol. 193, Issue 2
  • DOI: 10.1016/

How rapidly is a passive scalar mixed within closed streamlines?
journal, August 1983

Second order convex splitting schemes for periodic nonlocal Cahn–Hilliard and Allen–Cahn equations
journal, November 2014

A Second-Order, Weakly Energy-Stable Pseudo-spectral Scheme for the Cahn–Hilliard Equation and Its Solution by the Homogeneous Linear Iteration Method
journal, May 2016

  • Cheng, Kelong; Wang, Cheng; Wise, Steven M.
  • Journal of Scientific Computing, Vol. 69, Issue 3
  • DOI: 10.1007/s10915-016-0228-3

Analysis of a Darcy--Cahn--Hilliard Diffuse Interface Model for the Hele-Shaw Flow and Its Fully Discrete Finite Element Approximation
journal, January 2012

  • Feng, Xiaobing; Wise, Steven
  • SIAM Journal on Numerical Analysis, Vol. 50, Issue 3
  • DOI: 10.1137/110827119

Flux expulsion with dynamics
journal, February 2016

  • Gilbert, Andrew D.; Mason, Joanne; Tobias, Steven M.
  • Journal of Fluid Mechanics, Vol. 791
  • DOI: 10.1017/jfm.2016.60

An Implicit, Nonlinear Reduced Resistive MHD Solver
journal, May 2002

  • Chacón, L.; Knoll, D. A.; Finn, J. M.
  • Journal of Computational Physics, Vol. 178, Issue 1
  • DOI: 10.1006/jcph.2002.7015

Free Energy of a Nonuniform System. I. Interfacial Free Energy
journal, February 1958

  • Cahn, John W.; Hilliard, John E.
  • The Journal of Chemical Physics, Vol. 28, Issue 2
  • DOI: 10.1063/1.1744102

String Phase in Phase-Separating Fluids under Shear Flow
journal, January 1995