2.5D coupled BEM–FEM used to model fluid and solid scattering wave. (22nd October 2014)

• Record Type: Journal Article
• Authors: Romero, A.; Tadeu, A.; Galvín, P.; António, J.
• Is Part Of: International journal for numerical methods in engineering. Volume 101:Number 2(2015)
• Page Start: 148
• Page End: 164
• Publication Date: 2014-10-22
• Subjects: Numerical analysis -- Periodicals; Engineering mathematics -- Periodicals; 620.001518
• DOI: 10.1002/nme.4801
• Languages: English
• ISSNs: 0029-5981

Abstract

<abstract abstract-type="main" id="nme4801-abs-0001"> <title>SUMMARY</title> <p id="nme4801-para-0001">We describe a hybrid method to study fluid and solid interaction problems in the frequency domain. The numerical method is based on subdomain decomposition. The BEM is used to model unbounded solid mediums, whereas the confined subdomains, both fluid and solid, are represented by the FEM. The analysis is carried out by superposing two‐and‐a‐half dimension (2.5D) problems for different longitudinal wave numbers. A novel 2.5D FEM formulation for inviscid fluids is proposed, which include the energy lost at the fluid boundary enclosure. The fluid and solid subdomains are coupled, and appropriate boundary conditions are imposed at the interfaces. The proposed technique is verified from analytical solutions. A cylindrical cavity located in an unbounded solid medium excited by a dilatational point source is studied. Computed results are in good agreement with the analytical solution. Later, noise and vibration in a concrete tunnel due to an internal pressure load is analysed with the proposed methodology. Results show that tunnel and soil displacements increase with the load speed, as did the air pressure inside the tunnel, according with the travelling ranges defined by the wave propagation velocities in each medium. Copyright © 2014 John Wiley &amp; Sons, Ltd.</p> </abstract>