臺灣博碩士論文加值系統

這篇論文的主要工作是利用晶格波茲曼演算法的特性來描述表面波，波前前進的路線可以由晶格波茲曼演算法的特性模擬，與障礙物的交互作用也能被追縱。為了更瞭解表面波的性質，我們進一步介紹分層的概念，它可以提供我們更清楚地知道表面波與障礙物的密切關係。另一方面，為了提供充分的模擬時間以完成表面波，也許，大尺度的模擬時間也是一種間接的證明表面波的影響有如此重大。

An algorithm of Lattice Boltzmann Equation (LBE) has been applied to model creeping waves. Due to the special property of this algorithm, Huygens'' Principle can be visualized in this simulation, and therefore interactions with the obstacle can be easily extracted to demonstrate the existence of creeping waves. Also the concept of levels is introduced, which can describe interactions with boundary and furthermore explains that the long time scale of simulation may be due to surface waves.

1 Introduction 1
1.1 Review of impenetrable sphere . . . . . . . . . . . . . . . . . . . . . . 2
2 Lattice Boltzmann Model 5
2.1 Analysis . . . . . . . . . . . . . . . . . . . . . . 5
2.2 Algorithm . . . . . . . . . . . . . . . . . . . . . . 6
2.3 Boundary Condition . . . . . . . . . . . . . . . . . 10
2.3.1 Null Cell . . . . . . . . . . . .. . . . . . . . . 12
2.4 PlaneWave . . . . . . . . . . . . . . . . . . . . . . . 12
2.4.1 Analysis of a steady plane wave in two dimensional case (propagating
in the positive

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