Allen-Cahn與Cahn-Hilliard方程的數值研究

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DC Field	Value	Language
dc.contributor.author	陳冠羽	en_US
dc.contributor.author	Kuan-Yu Chen	en_US
dc.contributor.author	賴明治	en_US
dc.contributor.author	Ming-Chih Lai	en_US
dc.date.accessioned	2014-12-12T03:06:38Z	-
dc.date.available	2014-12-12T03:06:38Z	-
dc.date.issued	2006	en_US
dc.identifier.uri	http://140.113.39.130/cdrfb3/record/nctu/#GT009422502	en_US
dc.identifier.uri	http://hdl.handle.net/11536/81290	-
dc.description.abstract	本論文介紹計算Allen-Cahn方程的一個簡單快速且穩定的有限差分算法，只需要解一個三條對角線的線性方程，並利用本方法做調整來解Cahn-Hilliard方程。我們也介紹一套利用快速傅立葉轉換的優點來計算Allen-Cahn方程的分離算法。我們修正了Allen-Cahn方程原本質量不守衡的問題，並且將這套方法應用在不可壓縮的兩項流混合問題上。	zh_TW
dc.description.abstract	We propose simple finite difference schemes with fast and stable computations for the Allen-Cahn equation with solving tri-diagonal matrices. We also deal this with the Cahn-Hilliard equation in a similar way. We introduce a special splitting method for the Allen-Cahn equation in advantage of applying fast Fourier transform. Mass-conservation modification for the Allen-Cahn equation is provided. And we apply these methods to compute the mixture problem of two incompressible fluids.	en_US
dc.language.iso	en_US	en_US
dc.subject	Allen-Cahn	zh_TW
dc.subject	Cahn-Hilliard	zh_TW
dc.subject	相位場	zh_TW
dc.subject	兩項流	zh_TW
dc.subject	Navier-stokes	zh_TW
dc.subject	Allen-Cahn	en_US
dc.subject	Cahn-Hilliard	en_US
dc.subject	phase field	en_US
dc.subject	mixture fluids	en_US
dc.subject	Navier-stokes	en_US
dc.title	Allen-Cahn與Cahn-Hilliard方程的數值研究	zh_TW
dc.title	Numerical Studies on the Allen-Cahn and Cahn-Hilliard Equations	en_US
dc.type	Thesis	en_US
dc.contributor.department	應用數學系所	zh_TW
Appears in Collections:	Thesis

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