Design of a Novel Energy-Based Approach for Solving Galbrun’s Equation

Institut

Lehrstuhl für Akustik mobiler Systeme

Typ

Semesterarbeit / Masterarbeit /

Inhalt

theoretisch /  

Beschreibung

In the field of aeroacoustics, Galbrun’s equation offers a promising framework for modeling sound propagation within compressible background flows. While Galbrun’s equation is derived from the same conservation equations as the Linearized Euler Equations (LEE), certain key aspects differ. Specifically, a Lagrangian approach is employed to create a displacement-based formulation. Therefore, Galbrun’s equation is particularly relevant for applications in fluid-structure interaction and helioseismology. 

Despite its potential, the numerical treatment of Galbrun’s equation presents significant challenges due to the presence of undesired eigenmodes. To address these challenges, novel numerical solution
approaches are needed to enhance the equation’s solvability across a wide range of engineering applications. This thesis focuses on energy-based methodologies, investigating the conservation of energy
in the presence of background flows. Building on the existing knowledge at the chair, the aim is to advance these methods and extend their applicability. As part of this work, you can focus on the further development of the theoretical foundations, or develop make use of open-source finite-Element-method software for calculating the equation in order to prevent unphysical modes.

Voraussetzungen

• High interest and knowledge in the area of (aero-) acoustics or computational methods required
• High interest in the area of theoretical analysis and numerical treatment of partial differential equa-
tions
• Please provide a short personal cover letter (not generated by large language modeling) along with
your transcript of records

Möglicher Beginn

1. April 2025

Kontakt

Michael Buba, M.Sc.
Raum: MW1534
Tel.: 089 28955126
michael.bubatum.de

Ausschreibung