Phononic metamaterials (PMM) make it possible to control sound, for example, by selectively creating gaps in the acoustic frequency band. As part of a research project, we are developing a novel numerical calculation method based on the spectral element method (SEM) to efficiently and accurately calculate the acoustic properties of such structures. A long-term goal is to integrate SEM into existing FEM models, which are used, among other things, in the aerospace industry.
Subject Area
Introduction to the theory of SEM and PMM in the context of vibroacoustics
Derivation and Formulation of the Underlying Partial Differential Equations
Implementation of SEM using higher-order form functions (e.g., Legendre or Chebyshev polynomials)
Validation of the results by comparison with analytical solutions and classical FEM models
The exact focus and scope of the work will be determined on an individual basis.
Your Profile
A degree in mechanical engineering, physics, computational engineering, mathematics, or a related field
Strong interest and in-depth knowledge of numerical methods and differential equations (particularly partial differential equations)
Experience in object-oriented programming (Python is a plus)
Ideally, prior knowledge of finite element methods or acoustics
An independent, structured approach to work and a passion for mathematically challenging problems
Interested?
For further questions I am at your disposal!
