Adaptive mesh refinement for simulation of thin film flows

Yibao Li; Darae Jeong; Junseok Kim

doi:10.1007/s11012-013-9788-6

Adaptive mesh refinement for simulation of thin film flows

Yibao Li, Darae Jeong, Junseok Kim

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

18 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 language	English
Pages (from-to)	239-252
Number of pages	14
Journal	Meccanica
Volume	49
Issue number	1
DOIs	https://doi.org/10.1007/s11012-013-9788-6
Publication status	Published - 2014 Jan

Bibliographical note

Funding Information:
Acknowledgements The corresponding author (J.S. Kim) was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (No. 2011-0023794). The authors greatly appreciate the reviewers for their constructive comments and suggestions, which have improved the quality of this paper.

Keywords

Adaptive mesh refinement
Nonlinear diffusion equations
Nonlinear multigrid method
Thin film

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

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10.1007/s11012-013-9788-6

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N2 - 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.

AB - 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.

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Adaptive mesh refinement for simulation of thin film flows

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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