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  • 學位論文

Immersed Interface Method for Numerical Simulations of Flow Field with Elastic Moving Interfaces and Rigid Boundary

沉浸介面法於彈性移動介面及固定邊界流場之數值分析

指導教授 : 林昭安

摘要


The present study is concerned with the application of immersed interface method to simulate flow with elastic membrane, which causes a discontinuous transport property. The numerical framework is based on the finite volume approach with the projection method. First, this method is conducted to the convection-diffusion equation to examine the numerical accuracy of this method. It was discovered that by appropriately differentiating the source term, second order accuracy can be achieved. The scheme is further applied to simulate stokes equation with the tangential force problem. The numerical result shows that the deficiency of the finite volume approach, which degrades the order of accuracy the method. Finally, the flows with single and multiple moving membranes are simulated to examine the applicability of this method under a complex environment.

並列摘要


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參考文獻


[1] Lin CH, Lin CA. Simple high-order bounded convection scheme to model discontinuities. AIAA J. 1997; 35: 563.
[2] Ye T, Mittal R, Udaykumar HS, Shyy W. An accurate Cartesian grid method for viscous incompressible flows with complex immersed boundaries. J. Comp. Phys. 1999; 156: 209.
[3] Li Z. The Immersed Interface Method - A Numerical Approach for Partial Differential Equations with Interfaces. Ph.D. thesis University of Washington 1994.
[4] Li Z. A note on immersed interface methods for three dimensional elliptic equations. Comput. Math. Appl. 1996; 31: 9.
[5] LeVeque RJ, Li Z. The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. SIAM J. Numer. Anal. 1994; 31: 1019.

被引用紀錄


余文爾(2005)。國中生活科技多媒體電腦輔助創造思考教學對學生學習成效之影響〔碩士論文,國立臺灣師範大學〕。華藝線上圖書館。https://www.airitilibrary.com/Article/Detail?DocID=U0021-2004200715415750

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