Abstract
Fully coupled finite element/boundary element (FE/BE) models are a popular choice when modelling structures that are submerged in heavy fluids. To achieve coupling of subdomains with nonconforming discretizations at their common interface, the coupling conditions are usually formulated in a weak sense. The coupling matrices are evaluated by integrating products of piecewise polynomials on independent meshes. The case of interfacing elements with linear shape functions on unrelated meshes has been well covered in the literature. This paper presents a solution to the problem of evaluating the coupling matrix for interfacing elements with quadratic shape functions on unrelated meshes. The isoparametric finite elements have eight nodes (Serendipity) and the discontinuous boundary elements have nine nodes (Lagrange). Results using linear and quadratic shape functions on conforming and non-conforming meshes are compared for an example of a fluid loaded point excited sphere. It is shown that the coupling error decreases when quadratic shape functions are used.
| Original language | English |
|---|---|
| Pages (from-to) | 155-160 |
| Number of pages | 6 |
| Journal | Proceedings of Forum Acusticum |
| State | Published - 2011 |
| Externally published | Yes |
| Event | 6th Forum Acusticum 2011 - Aalborg, Denmark Duration: 27 Jun 2011 → 1 Jul 2011 |