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Efficient Simulation of Acoustic Underwater Waves

Working Group:Former WG Inverse Problems
Leadership: Prof. Dr. Armin Lechleiter
Processor: Dr. Tobias Rienmüller
Funding: Zentrale Forschungsförderung der Universität Bremen
Project partner:
Time period: 01.11.2012 - 31.10.2015
Bild des Projekts Ein effizientes Simulationsverfahren für Unterwasserschallwellen The computation of the propagation of underwater sound waves is an important tool for the marine sciences. The aim of this project is the development and the analysis of a volumetric integral equation method that can serve as an efficient simulation tool for underwater sound in realistic scenarios (layered structures, sound gradients).

Publications

  1. A. Lechleiter, T. Rienmüller.
    Collocation discretization for an integral equation in ocean acoustics with depth-dependent speed of sound.
    Mathematical Methods in the Applied Sciences, 40(5):1608-1624, Wiley, 2017.

    DOI: 10.1002/mma.4082

  2. P. Monk, A. Lechleiter.
    The Time Domain Lippmann-Schwinger Equation and Convolution Quadrature.
    Numerical Methods for Partial Differential Equations, 31(2):517-540, Wiley, 2015.

    DOI: 10.1002/num.21921
    online at: Link (arXiv)

  3. A. Lechleiter, T. Rienmüller.
    Time-Harmonic Acoustic Wave Scattering in an Ocean with Depth-Dependent Sound Speed.
    Applicable Analysis - An International Journal, 95:978-999, 2015.

    DOI: 10.1080/00036811.2015.1047831

  4. T. Rienmüller.
    Integral Equation Methods for Ocean Acoustics with Depth-Dependent Background Sound Speed.
    Dissertationsschrift, Universität Bremen, 2015.

    online at: http://nbn-resolving.de/urn:nbn:de:gbv:46-00104767-18