Mathematical study on the thickened interface model by viscosity solution of the level-set equation

OSHIMA, Nobuyuki

Journal of Thermal Science and Technology, 2022, 17(1), 21-00410-21-00410

Permalink : https://hdl.handle.net/2115/83856

このアイテムのアクセス数:364件（2026-03-08 22:16 集計）

ファイル	フォーマット	サイズ	閲覧回数	説明
17_21-00410	pdf	4.96 MB	32	Article
JTST_17_21-00410_translation	pdf	1.26 MB	20	Author's translation

アクセス権	open access
URI	https://hdl.handle.net/2115/83856
タイトル	Mathematical study on the thickened interface model by viscosity solution of the level-set equation
著者	e-Rad_Researcher 10217135 著者名 OSHIMA, Nobuyuki
言語	英語
キーワード	Level-set equation
	Viscosity solution
	Combustion flame
	Thickened interface model
	Conservation law
	Phase field approach
発行日	2022-01-20
出版者	The Japan Society of Mechanical Engineers
出版者	一般社団法人日本機械学会
収録物名	Journal of Thermal Science and Technology
巻(号)	17(1)
ページ	21-00410-21-00410
抄録	The level-set approach extended for its viscosity solution is investigated to derive a relation to the conservation law of fluid phenomena and the phase-field approach based on the free energy theory. This mathematical approach is useful to consider approximate models for fluid interface problems. Here, this approach is applied to the thickened interface model of the combustion flame problem to derive a new mathematical formulation by the viscosity solution of the level-set equation, which can maintain a flame propagation speed of global solution. This approach reveals a mathematical incompatibility of empirical thickened flame models and proposes some improvements.
資源タイプ	学術雑誌論文
出版タイプ	Version of Record
EISSN	1880-5566
関連情報 (isIdenticalTo)	出版社版DOI https://doi.org/10.1299/jtst.21-00410