The Variational Theory of Complex Rays: a predictive computational tool for complex 3-D mid-frequency acoustic problems

Abstract : The Variational Theory of Complex Rays (VTCR) is a predictive computational tool that has been developed to solve mid-frequency problems. This is a wave approach that involves exact solutions of the governing equation, and a non classical variational formulation for handling boundary conditions of the problem. No fine discretization is therefore necessary to find an approximated solution, and the model sizes are consequently drastically reduced in comparison with the element based methods. This results in a more efficient prediction technique for vibration problems, especially in the mid-frequency ranges. This presentation discusses how the VTCR can be used for the analysis of complex 3-D acoustic problems. Its performances will be compared to the element-based methods through validation examples, on order to highlight its superior efficiency over the standard numerical prediction techniques.
Document type :
Conference papers
Complete list of metadatas

Cited literature [27 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-00811056
Contributor : Hal System <>
Submitted on : Monday, April 23, 2012 - 10:00:00 AM
Last modification on : Saturday, May 25, 2019 - 1:44:40 AM
Long-term archiving on : Sunday, December 18, 2016 - 12:42:54 PM

File

hal-00811056.pdf
Publisher files allowed on an open archive

Identifiers

  • HAL Id : hal-00811056, version 1

Citation

Hervé Riou, Pierre Ladevèze, Louis Kovalevsky. The Variational Theory of Complex Rays: a predictive computational tool for complex 3-D mid-frequency acoustic problems. Acoustics 2012, Apr 2012, Nantes, France. ⟨hal-00811056⟩

Share

Metrics

Record views

182

Files downloads

137