Abstract: Systems and methods are provided for modeling fluid flow in a turbomachine. A specification of a system including at least a stator and a rotor of a turbomachine is received. The stator is coupled to the rotor via a profile-transformation (PT) interface. A flow profile for fluid flow across the PT interface is expanded or compressed based on a pitch ratio between the stator and the rotor. Flow variables of governing flow equations for the fluid flow in the system are represented as a Fourier series with spatially-varying Fourier coefficients. The Fourier series representation is substituted into the governing flow equations to obtain a modified form of the governing flow equations. The modified form of the governing flow equations is solved using a steady-state solution method to model the fluid flow in the system. The modeling utilizes an implicit solution discretization across the PT interface.

Abstract: Systems and methods are provided for modeling fluid flow in a turbomachine. A specification of a system is received. The system includes multiple passages, where the multiple passages include at least an inlet guide vane, a rotor, and a stator. A computational grid is generated with a processing system based on the received specification. Governing flow equations for the system are transformed based on inclination parameters, where each passage of the system has an associated inclination parameter. A rotational velocity of rotating passages included in the system is specified, and a time-step for stationary passages included in the system is specified. Time-steps for the rotating passages included in the system are computed, where the time-steps are computed based on pitch-ratios for adjacent passages of the system. A solution for the system is advanced in time by solving the transformed governing flow equations across the computational grid using computer-based numerical calculations.

Abstract: A method of facilitating paging in a wireless communications network includes generating, at a radio access network (RAN) element of the communications network, a select paging area for a UE which is improved or optimized by taking RAN and UE specific information into account, the select paging area including information indicating one or more cells from among cells of the communications network to which paging messages are to be sent when paging the UE; and sending the select paging area from the RAN element to a core network (CN) element of the communications network.

Abstract: A method of facilitating paging in a wireless communications network includes generating, at a radio access network (RAN) element of the communications network, a select paging area for a UE which is improved or optimized by taking RAN and UE specific information into account, the select paging area including information indicating one or more cells from among cells of the communications network to which paging messages are to be sent when paging the UE; and sending the select paging area from the RAN element to a core network (CN) element of the communications network.