Numerical solution of cahn-hilliard system by adaptive least-squares spectral element method

Keunsoo Park*, Marc Gerritsma, Maria Fernandino

*Corresponding author for this work

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

1 Citation (Scopus)


There is a growing interest in the phase-field approach to numerically handle the interface dynamics in multiphase flow phenomena because of its accuracy. The numerical solution of phase-field models has difficulties in dealing with non-self-adjoint operators and the resolution of high gradients within thin interface regions. We present an h-adaptive mesh refinement technique for the least-squares spectral element method for the phase-field models. C1 Hermite polynomials are used to give global differentiability in the approximated solution, and a space-time coupled formulation and the element-by-element technique are implemented. Two benchmark problems are presented in order to compare two refinement criteria based on the gradient of the solution and the local residual.

Original languageEnglish
Title of host publicationLarge-Scale Scientific Computing - 11th International Conference, LSSC 2017, Revised Selected Papers
Number of pages9
Volume10665 LNCS
ISBN (Print)9783319734408
Publication statusPublished - 2018
Event11th International Conference on Large-Scale Scientific Computations - Sozopol, Bulgaria
Duration: 11 Sept 201715 Sept 2017
Conference number: 11

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume10665 LNCS
ISSN (Print)03029743
ISSN (Electronic)16113349


Conference11th International Conference on Large-Scale Scientific Computations
Abbreviated titleLSSC 2017


  • Adaptive
  • Cahn-Hilliard
  • Least-square
  • Parallel computation
  • Phase-field


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