Because it is a retarded-time formulation, the current implementation is intentionally limited to subsonic source motion to avoid singular integrals.
This paper focuses on the development of a retarded-time formulation in which time derivatives are analytically taken inside the integrals to avoid unnecessary computational work when the observer is in motion (e.g., the wind tunnel case).
This paper deals with a new interpretation of the retarded time approach that is widely used in the prediction of acoustic fields from moving sources.
Combining bifurcation analysis of the retarded time equation with different emission surface topologies, a new Emission Porous Surface (EPS) algorithm has been developed.
A novel approach for the search of the roots of the retarded time function was developed based on considerations of the kinematics of rotating sources and of the bifurcation analysis of the retarded time function.
We present an accurate and efficient algorithm for the solution of the retarded time equation, which can be used both in subsonic and supersonic flow regimes.
The noise data and the retarded time results are discussed and related to previous aerodynamic work.
Chen [11] studied the stability of one-dimensional fractional systems with retarded time by using Lambert function.
Here z is the normalized propagation distance, and t is the normalized retarded time, i.e., time in the frame of reference moving with the wave packet.
The acoustic predictions are supplemented with retarded time results which relate the radiated noise to the aerodynamic conditions on the blade at the time of noise emission.
