晶格波茲曼法是近年來具前瞻性的數值運算方法，能有效且快速地模擬傳統計算流體力學難以勝任之複雜幾何形狀問題。本文即利用晶格波茲曼法來模擬低雷諾數、不可壓縮、穩態下之三維複雜幾何形狀管道流場，藉由此研究來模擬出真實情形下的三維流動情形。為了確保流場的適用性及避免太大的壓縮性效應，本文所模擬的雷諾數最大為Re=20。
本文分為兩部份。一為藉著置入不同半徑大小的半圓形障礙物來分析流道中障礙物大小及擺放位置對速度場的局部影響，壓力以及摩擦阻抗等。二為模擬各種截面柱管。將圓柱管及橢圓柱管模擬出的數值解結果與 poiseuille flow 其解析解比較印證所得到之結果同樣準確。接著模擬無解析解的六邊形柱管，分析其速度場及摩擦阻抗等。
障礙物在流場中扮演擾動的角色，改變了流體的流動路線，因為造成流道截面積改變，所以導致了流場分佈的變化，障礙物後側垂直流動增強，並形成環狀迴流區，不但影響了通過之流體，也造成了壓降與摩擦阻抗的變化。

The lattice Boltzmann method is a kind of forward-looking numerical method. It can simulate complex problems quickly what traditional computational fluid dynamics cannot solve. In this study, the lattice Boltzmann method is applied to simulate incompressible steady flow of complex geometry channels in three-dimension under low Reynolds number. It shows the true flow situation in three-dimensional channels by the study. In order to restrict the simulations to three-dimensional flows, the investigated Reynolds number range is limited to a maximum value of
In the study, it is divided into two parts, one analyzes the local influence on velocity field, pressure and friction by inserting semicircular obstacles of different radii, the other simulates different cross-section tubes. Compared the numerical solutions of circular tube and elliptical tube with analytical solution, it can get good result. And then simulates hexagonal tubes, analyzes the local influence on velocity field and friction.
Interruption within the fluid field is caused by the obstacles . The direction of fluid flow toward and channel area were changed by obstacles, causing velocity field to be changed. The interruption strengthends the vertical direction flow in some area and formed the recirculation region behind obstacles. But it also caused the pressure losses and friction variably.

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