Notice of RetractionTwo-dimensional model and numerical method for nonlinear standing waves in axisymmetric resonators

Notice of Retraction

After careful and considered review of the content of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE´s Publication Principles.

We hereby retract the content of this paper. Reasonable effort should be made to remove all past references to this paper.

The presenting author of this paper has the option to appeal this decision by contacting TPII@ieee.org.

In order to acquire the distribution of nonlinear standing waves pressure on the cross-section of axisymmetric resonator, we develop a two-dimensional model and a numerical solution method in this paper. At the same time, the two-dimensional model is useful to gas sealing with high acoustic pressure. The two-dimensional model is set up based on the conversation of mass law, gas momentum conservation equation and the ideal gas law. Then, the model equations are solved numerically based on Finite Volume Method (FVM). Numerical simulation results are shown for two kinds of axisymmetric resonators, cylindrical and conical resonator. Distribution of pressure is present for these resonators. Shock wave appears in the cylindrical resonator. Standing wave overpressures in excess of 9% of ambient pressure are obtained. Compared with the cylindrical resonator, no shock wave appears in the conical resonator. The overpressures are in excess of 18% of ambient pressure. These results agree with the experimental results and theoretical analysis.