Study of Axisymmetric Infinite Guide Lined with Locally Reacting Material without Flow Using DtN Operators  

作　　者：Boureima Ouedraogo Emmanuel Redon Boureima Ouedraogo;Emmanuel Redon(Department of Physics and Chimistry, C.U. Kaya, Université Joseph Ki-Zerbo, Ouagadougou, Burkina Faso;ESIREM, Université de Bourgogne, Dijon, France)

机构地区：[1]Department of Physics and Chimistry, C.U. Kaya, Université Joseph Ki-Zerbo, Ouagadougou, Burkina Faso [2]ESIREM, Université de Bourgogne, Dijon, France

出　　处：《Open Journal of Applied Sciences》2024年第2期572-588,共17页应用科学（英文）

摘　　要：The present work proposed a new method for the modeling by the finite element method of the acoustic propagation problems in infinite axisymmetric cylindrical guides lined with locally reacting absorbent materials without flow. The method deals with the development of an efficient transparent boundary condition based on DtN operators. The method developed in this study is successfully applied to a straight axisymmetric lined guide by imposing a mode on one of the artificial boundaries of the truncated guide. The results are in good agreement with analytical solutions. Applying the method for a non-uniform axisymmetric lined guide which is a complex case, proved its effectiveness and the results compared to those of PML layers are in very good agreement.The present work proposed a new method for the modeling by the finite element method of the acoustic propagation problems in infinite axisymmetric cylindrical guides lined with locally reacting absorbent materials without flow. The method deals with the development of an efficient transparent boundary condition based on DtN operators. The method developed in this study is successfully applied to a straight axisymmetric lined guide by imposing a mode on one of the artificial boundaries of the truncated guide. The results are in good agreement with analytical solutions. Applying the method for a non-uniform axisymmetric lined guide which is a complex case, proved its effectiveness and the results compared to those of PML layers are in very good agreement.

关 键 词：DtN Operator Axisymmetric Cylindrical Guides Finite Element Method Modes 

分 类 号：O17[理学—数学]