Development of perfectly matched layer boundary conditions for aeroacoustic applications

Numerical simulation of free space has stimulated the enthusiasm of the researchers from various fields due to its significance in attaining an accurate solution in the solution of field problems that are open-domained. Numerous solutions are proposed toward this end, but not many could embark with considerable amount of success. However, the application of perfectly matched layer (PML) boundary conditions provides a solution that has little or no nonphysical reflections. The current work aims at further development of the PML boundary conditions, viz., extending their applicability to the frequency domain. PML boundary conditions are derived in the frequency domain for application to problems that use the frequency domain formulation. Numerical examples presented verify the validity of the proposed equations and reconfirm that the PML boundary conditions simulate the free space almost perfectly while minimizing the extent of the computational domain.