Abstract: Turbomachinery serves as a pivotal equipment component in the power energy sector, with its performance and efficiency directly influencing the operational performance of power systems. Thanks to the substantial enhancement of hardware capabilities in high-performance computing systems and the continuous advancement of numerical simulation capabilities in fluid dynamics, strength, and heat transfer, fluid-structure-thermal coupling (FST) simulation technology has become increasingly crucial for the design optimization, performance prediction, and fault prevention of turbomachinery. This paper provides an analysis of the primary numerical methods and challenging issues in the fields of fluid dynamics, strength, and fluid-structure-thermal coupling simulation of turbomachinery. Leveraging the domestic self-developed AENS (AeroEngine Numerical Simulation) software for fluid-structure-thermal coupling simulation of turbo-power turbomachinery, it introduces the homogeneous/heterogeneous fluid-structure-thermal coupling simulation software architecture, alongside efficient coupling algorithms and robust grid technologies. By analyzing and comparing experimental data with typical turbomachinery AENS fluid-structure/fluid-thermal coupling simulation results, it is demonstrated that AENS possesses the capability to simulate fluid-structure-thermal coupling of aeroengine blades under high-temperature, high-pressure, and high-speed conditions. This shows the promising prospects of AENS in the field of fluid-structure-thermal coupling of turbomachinery, offering vital support for forward multiphysic coupling design of turbomachinery.