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dc.contributor.author陳冠羽en_US
dc.contributor.authorKuan-Yu Chenen_US
dc.contributor.author賴明治en_US
dc.contributor.authorMing-Chih Laien_US
dc.date.accessioned2014-12-12T03:06:38Z-
dc.date.available2014-12-12T03:06:38Z-
dc.date.issued2006en_US
dc.identifier.urihttp://140.113.39.130/cdrfb3/record/nctu/#GT009422502en_US
dc.identifier.urihttp://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.abstractWe 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.isoen_USen_US
dc.subjectAllen-Cahnzh_TW
dc.subjectCahn-Hilliardzh_TW
dc.subject相位場zh_TW
dc.subject兩項流zh_TW
dc.subjectNavier-stokeszh_TW
dc.subjectAllen-Cahnen_US
dc.subjectCahn-Hilliarden_US
dc.subjectphase fielden_US
dc.subjectmixture fluidsen_US
dc.subjectNavier-stokesen_US
dc.titleAllen-Cahn與Cahn-Hilliard方程的數值研究zh_TW
dc.titleNumerical Studies on the Allen-Cahn and Cahn-Hilliard Equationsen_US
dc.typeThesisen_US
dc.contributor.department應用數學系所zh_TW
Appears in Collections:Thesis


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