一個以回彈沉浸邊界為基礎的晶格波茲曼法已被發展用來處理移動邊界問題，並將應用在魚類群游機制的研究。本文並且提供了一個在晶格波資曼法下以動量交換原理為基礎的力量拆解的方法。在固定邊界的測試當中，此演算法達到了與理論分析相當的精確度，並發掘了無因次鬆弛時間τ對於晶格波資曼法特性的影響。在低雷諾數流的測試中，結果和前人的實驗數據可相比擬。在此數值方法的幫助下，對於二維的魚類群游行為吾人提出一種新的機制，有別於先前的文獻上所提及魚類群游時會以規則的結構排列，此機制認為魚類群游時將只是個別找到適合的位置跟隨前者。

To study the problem whether there is any hydrodynamical function in fish schooling, an bounce-back based immersed-boundary lattice Boltzmann method was developed to cope with the moving boundary problem. A method to decompose the force into shear and normal force by momentum exchange in lattice Boltzmann method is provided. This algorithm performs as well as the accuracy of the theoretical analysis in stationary-boundary test, and the characteristics of the non-dimensional relaxation time τ is also discovered. In low Reynolds number flow, the results by the current method are comparable to the former experiments. Under the proposed numerical scheme, in two-dimensional fish schooling we proposed a new mechanism that infers the following fish just find the best place to follow by, instead of to arrange themselves in the regular position.

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