BEM simulation of compressible fluid flow in an enclosure induced by thermoacoustic waves

• Published in: Engineering analysis with boundary elements 2009-04, Vol.33 (4), p.561-571
• Main Authors: Škerget, L., Ravnik, J.
• Format: Article
• Language: English
• Subjects: Boundary element method; Boundary-integral methods; Compressible fluid flow; Compressible fluids; Computational techniques; Enclosure; Exact sciences and technology; Fluid dynamics; Fundamental areas of phenomenology (including applications); General theory; Heat conduction; Heat transfer; Mathematical analysis; Mathematical methods in physics; Mathematical models; Navier-Stokes equations; Physics; Rotational flow and vorticity; Thermoacoustic waves; Thermoacoustics; Velocity-vorticity formulation
• ISSN: 0955-7997; 1873-197X
• DOI: 10.1016/j.enganabound.2008.08.003

The problem of unsteady compressible fluid flow in an enclosure induced by thermoacoustic waves is studied numerically. Full compressible set of Navier–Stokes equations are considered and numerically solved by boundary-domain integral equations approach coupled with wavelet compression and domain decomposition to achieve numerical efficiency. The thermal energy equation is written in its most general form including the Rayleigh and reversible expansion rate terms. Both, the classical Fourier heat flux model and wave heat conduction model are investigated. The velocity–vorticity formulation of the governing Navier–Stokes equations is employed, while the pressure field is evaluated from the corresponding pressure Poisson equation. Material properties are taken to be for the perfect gas, and assumed to be pressure and temperature dependent.