摘要：The predictions of the multiple-regime flows from continuum regime to free molecular regime are crucial for the aerodynamic design in a large number of engineering applications,such as the near-space craft,the ultra-low orbit spacecraft and the micro-electro-mechanical systems(MEMS).Since the essence of this multiple-regime problem is a complex system composed by different scales and mechanics,the modeling and numerical prediction of these multiple-regime flows are very challenging at both theoretical and practical ***,the single flow field with multiple flow regimes will make the problem extremly ***,this typical flow field is very common in hypersonic application and important for the development of multiple-regime *** the other hand,both the constructions of the low density wind tunnel with high enthalpy and the high altitude flight experiment are also very challenging at the present ***,the researches on the multiple-regime flows and the corresponding complex science hit a worldwide *** paper reviews the breakthroughs in the computational methods for multiple-regime flows in the last ten years,which can be used as numerical experimental tools for studying the multiple-scale flow mechanism and providing data for aerodynamic designs and thermal *** paper focuses on the progress of the unified wave-particle methods established in recent years,which are proved to be both accurate and efficient for multiple-regime flows with extremly high speed.