Two-Dimensional Ideal Fluid Dynamics and Flow Around a Circular Cylinder Based on Complex Variable Analysis

The paper mainly studies how to apply complex variable analysis to practical problems related to a two-dimensional ideal fluid. The authors purpose is to provide a mathematical and physical method to optimize and facilitate industries related to fluid mechanics, such as oceanography, civil engineering, the aircraft wing manufacturing field, and so on. The main mathematical methodology is complex potential, and the main physical condition is the theorem and definition of the two-dimensional ideal fluid. The result of the study is that the use of complex variable analysis is significantly effective, and the processes of the calculation are much easier for this reason. The calculation process can prove the practicability. In this paper, the author combines mathematical derivation with methods of application, and the author also combines physical definitions and physical properties applied in the paper, clearly demonstrating the method of how complex potential works in practical problems. In conclusion, complex variable analysis can be used in many different fields related to physics, and it can facilitate the development of engineering and reduce the possibility of making mistakes in calculations, making resolutions precise and lowering the cost of the processes.