- Worlikar, A. S. and Knio, O. M. and Klein, R., Numerical simulation of acoustically-generated temperature gradients in short thermoacoustics stacks: A validation study,
HEAT TRANSFER - BALTIMORE 1997 no. 214
pp. 271--276 .
(last updated on 2011/07/05)
A computational model for the simulation of unsteady two-dimensional flow within an idealized thermoacoustic stack is developed. The model relies on a vorticity-based formulation of the compressible conservation equations in the low Mach number limit. The numerical scheme is based on second-order finite-difference spatial discretization of the governing equations and third-order time integration of the discrete evolution equations. Efficient inversion of elliptic operators is performed rising a domain decomposition technique which subdivides the solution into rectangular subdomains. The solutions within individual subdomains are determined using fast Poisson solvers, and are coupled using a boundary Green's function approach. The unsteady computations are used to predict the steady-state temperature gradient in simplified two-dimensional stacks, and to analyze their dependence on the amplitude of the prevailing resonant wave. Computed results are validated by comparison with theoretical predictions and experimental data.