One-dimensional numerical simulation of thermoacoustic engine with flux-corrected transport algorithm

The generation and propagation characteristics of the thermoacoustic wave in thermoacoustic engines have been numerically investigated with two-dimensional implicit methods in most of previous works. While there are natural limitations in time, scale and precision, in the explicit numerical method, the flux corrected transport (FCT) algorithm features easy calculation and high precision when solving large gradient problems. Using the FCT algorithm, we simulated the thermoacoustic generation and propagation in a cavity. The results agreed well with previous works, showing the stability and reliability of the present method in addressing thermoacoustic wave problems. Then, combining the timestep splitting technique, oscillation boundary conditions and simplified one-dimensional thermoacoustic engines model, we used the FCT algorithm to simulate the nonlinear characteristics of thermoacoustic engines. We obtained nonlinear wave profiles caused by large parameters and plate extreme edge effects. The profiles qualitatively agreed with previous results, thus exhibiting the potential of this method in simulating thermoacoustic engines.