Isogeometric Analysis of Acoustic Scattering using Infinite Elements

04/20/2022
by   Jon Vegard Venås, et al.
0

Isogeometric analysis (IGA) has proven to be an improvement on the classical finite element method (FEM) in several fields, including structural mechanics and fluid dynamics. In this paper, the performance of IGA coupled with the infinite element method (IEM) for some acoustic scattering problems is investigated. In particular, the simple problem of acoustic scattering by a rigid sphere, and the scattering of acoustic waves by an elastic spherical shell with fluid domains both inside and outside, representing a full acoustic-structure interaction (ASI) problem. Finally, a mock shell and a simplified submarine benchmark are investigated. The numerical examples include comparisons between IGA and the FEM. Our main finding is that the usage of IGA significantly increases the accuracy compared to the usage of C^0 FEM due to increased inter-element continuity of the spline basis functions.

READ FULL TEXT

page 2

page 14

page 17

page 24

page 26

page 30

page 31

page 40

research
04/20/2022

Isogeometric boundary element method for acoustic scattering by a submarine

Isogeometric analysis with the boundary element method (IGABEM) has rece...
research
01/16/2020

An adaptive finite element DtN method for the three-dimensional acoustic scattering problem

This paper is concerned with a numerical solution of the acoustic scatte...
research
12/13/2022

A Hausdorff-measure boundary element method for acoustic scattering by fractal screens

Sound-soft fractal screens can scatter acoustic waves even when they hav...
research
04/20/2022

Isogeometric Analysis of Acoustic Scattering with Perfectly Matched Layers (IGAPML)

The perfectly matched layer (PML) formulation is a prominent way of hand...
research
04/18/2019

Removal of spurious solutions encountered in Helmholtz scattering resonance computations in R^d

In this paper we consider a sorting scheme for the removal of spurious s...
research
01/24/2022

A topology optimization of open acoustic waveguides based on a scattering matrix method

This study presents a topology optimization scheme for realizing a bound...
research
01/28/2022

Fast multipole boundary element method for the acoustic analysis of finite periodic structures

In this work, two fast multipole boundary element formulations for the l...

Please sign up or login with your details

Forgot password? Click here to reset