基於浸潤邊界法的流固耦合演算法研究

Fluid-Structure Interaction Method Development with Immersed Boundary Method

李佳陽(Jia-Yang Li)

指導教授 ： 林昭安

國立清華大學/工學院/動力機械工程學系/碩士(2017年)

摘要

在包括風機設計以及上呼吸道模擬等工程實際問題中流體和固體的相互作用是當前研究的前沿領域。本論文基於浸潤邊界法提出了一種新的可用於彈性體及附近流暢計算的流固耦合演算法。同時為了增加近邊界處的計算精度在邊界附近採用了多重網格技術。論文應用充分發展圓管內流對計算程式進行了初步的驗證，計算結果與理論解在趨勢上能夠保持一致，但仍然具有明顯的差距，且誤差主要存在於粗、細網格的交界面上，且與泊松方程求解相關。為改善計算結果進一步的研究仍然是必要的。

關鍵字

流固耦合 ； 浸潤邊界法 ； 多重網格 ； 彈性體

並列摘要

The interaction between the elastic solid structure and the fluid field it immersed in is of great concern in many areas including wind turbine designing and upper nasal treatments. A new fluid-structure interaction method based on immersed boundary method is developed. Multigrid scheme is applied to trace the interface more accurately. Preliminary validation has been done in a fully developed tube flow model. The result is reasonable in trend, yet has obvious difference from the analytic solution. Advanced research is needed to improve the behavior of the computational program, especially where the two mesh domains transfer information that interacting with Poisson equation solving.

並列關鍵字

fluid-solid interaction ； immersed boundary method ； multigrid ； elastic solid

參考文獻

[3] Amy S Jordan, Andrew Wellman, Raphael C Heinzer, Yu-Lun Lo, Karen Schory, Louise Dover, Shiva, Gautam, Atul Malhotra, David P White. Mechanisms used to restore ventilation after partial upper airway collapse during sleep in humans. Thorax 2007; 62: 861–867.

[5] H. Klar Yaggi, John Concato, Walter N. Kernan, Judith H. Lichtman, Lawrence M. Brass, Vahid Mohsenin. Obstructive Sleep Apnea as a Risk Factor for Stroke and Death. N Engl J Med, 2005; 353:2034-2041.

[6] Peker Y, Hedner J, Norum J, Kraiczi H, Carlson J. Incresed incidence of cardiovascular disease in middle-aged men with obstructive sleep apnea: a 7-year follow-up. Am J Respir Crit Care Med, 2002; 166(2): 159-165.

[7] Liu Y, Ye JY, Liu ZG, Huang LX, Luo HY, Li YR. The Quantification of Breathing Quality to Predict the Outcome of OSA Surgery, Journal of Biomechanics, 45, Supplement 1, S1.

[8] Malhotra A, Fogel RB, Edwards JK, Shea SA, White DP. Local mechanisms drive genioglossus activation in obstructive sleep apnea. Am J Respir Crit Care Med 2000; 161: 1746-1749.