Adaptive mesh refinement for simulation of thin film flows

Yibao Li, Darae Jeong, Junseok Kim

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

We present a robust and accurate numerical method for simulating gravity-driven, thin-film flow problems. The convection term in the governing equation is treated by a semi-implicit, essentially non-oscillatory scheme. The resulting nonlinear discrete equation is solved using a nonlinear full approximation storage multigrid algorithm with adaptive mesh refinement techniques. A set of representative numerical experiments are presented. We show that the use of adaptive mesh refinement reduces computational time and memory compared to the equivalent uniform mesh results. Our simulation results are consistent with previous experimental observations.

Original languageEnglish
Pages (from-to)239-252
Number of pages14
JournalMeccanica
Volume49
Issue number1
DOIs
Publication statusPublished - 2014 Jan 1

Keywords

  • Adaptive mesh refinement
  • Nonlinear diffusion equations
  • Nonlinear multigrid method
  • Thin film

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Condensed Matter Physics

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