Dual interpolation boundary face method for 3-D acoustic problems based on binary tree grids. (May 2023)

• Record Type: Journal Article
• Authors: Xiao, Rongxiong; Zhang, Jianming; Chai, Pengfei; Ju, Chuanming; Lin, WeiCheng; He, Rui
• Is Part Of: Engineering analysis with boundary elements. Volume 150(2023)
• Page Start: 7
• Page End: 19
• Publication Date: 2023-05
• Subjects: DiBFM -- Discontinuous grids -- Meshless method -- Burton-miller formulation; Boundary element methods -- Periodicals; Engineering mathematics -- Periodicals; Équations intégrales de frontière, Méthodes des -- Périodiques; Mathématiques de l'ingénieur -- Périodiques; Boundary element methods; Engineering mathematics; Periodicals; 620.00151
• DOI: 10.1016/j.enganabound.2023.01.025
• Languages: English
• ISSNs: 0955-7997

Abstract

Abstract: A dual interpolation boundary face method (DiBFM) based on binary tree grids is presented to solve 3-D acoustic problems in this paper. The boundary element method (BEM) is widely used to solve acoustic problems for its advantage of only discretizing boundaries and satisfying Sommerfeld radiation condition. Combining boundary integral equations with computer graphics, the boundary face method (BFM) is the enrichment of the BEM and is able to avoid the geometric errors between CAD and CAE models. By adding virtual nodes on the vertices and edges of tradition discontinuous elements, the dual interpolation elements are introduced and have higher interpolation accuracy. What's more, since there is no need for grids continuity, the binary tree grids can be applied to the implementation of the DiBFM, and have the ability to make mesh generation more automatic and easier. The Burton-Miller formulation is employed to remove the non-uniqueness issue. Several numerical examples are given to demonstrate the practicability and superiority of the proposed method.