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

Keunsoo Park, Marc Gerritsma, Maria Fernandino

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

1 Citation (Scopus)

Abstract

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
PublisherSpringer
Pages128-136
Number of pages9
Volume10665 LNCS
ISBN (Print)9783319734408
DOIs
Publication statusPublished - 2018
Event11th International Conference on Large-Scale Scientific Computations - Sozopol, Bulgaria
Duration: 11 Sep 201715 Sep 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

Conference

Conference11th International Conference on Large-Scale Scientific Computations
Abbreviated titleLSSC 2017
CountryBulgaria
CitySozopol
Period11/09/1715/09/17

Keywords

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

Fingerprint Dive into the research topics of 'Numerical solution of cahn-hilliard system by adaptive least-squares spectral element method'. Together they form a unique fingerprint.

  • Cite this

    Park, K., Gerritsma, M., & Fernandino, M. (2018). Numerical solution of cahn-hilliard system by adaptive least-squares spectral element method. In Large-Scale Scientific Computing - 11th International Conference, LSSC 2017, Revised Selected Papers (Vol. 10665 LNCS, pp. 128-136). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 10665 LNCS). Springer. https://doi.org/10.1007/978-3-319-73441-5_13