Numerical Treatment of Boundary Conditions for Hyperbolic Equations

碩士 === 輔仁大學 === 數學系 === 83 === The first purose of study is to investigate about the process of the fixed boundary for hyperbolic equations. There is a especial method be to make use of the nature of the characteristic curve with the first-...

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Bibliographic Details
Main Authors: Weng ,Chine-Hui, 翁倩慧
Other Authors: Jen-Ing Hwang
Format: Others
Language:zh-TW
Published: 1995
Online Access:http://ndltd.ncl.edu.tw/handle/71820096439885109729
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Summary:碩士 === 輔仁大學 === 數學系 === 83 === The first purose of study is to investigate about the process of the fixed boundary for hyperbolic equations. There is a especial method be to make use of the nature of the characteristic curve with the first-order space extrapolation method. This method considers that the flow is the subsonic or supersonic,respectively. And it discusses the process of the boundary for the inflow and outflow. By the numerical results, this method is avilable for the fixed boundary. The second purose of study is to investigate about the process of the moving boundary for the piston problem. The Reflection method is to make use of the process of the moving boundary for the general schemes. A physically motivated wall boundary treatment is to make use of the expand cell scheme. We can get a better result from considering the expand cell scheme by the comparisons of numerical results.