Multi-Speed Lattice Gas Method And Simulation Of Thermoacoustic Phenomenon

Lattice Gas Automata (LGA), based on micros statistical mechanics, is a way to simulate fluid different to the way of solving partial difference equations. It has the advantages of simple rule and the better adaptability of the complex boundary. Since the thermal acoustic phenomenon has been found, it has become an important branch of the acoustic and thermal theory and have been developed as completed theory and practical application as the same time. Because of the development of the theoretic analyses, important equipments have been produced. Using lattice gas method to simulate thermal acoustic phenomenon is a new numerical approach. Preliminary discuss is provided on this method.The multi-speed LGA simulation system is designed and used in numerical experimentation, by consulting the successful simulation of thermal acoustic oscillation by D2Q9 LGA model, which can process numerical simulation by different methods including D2Q9 and D2Q13-WB models. The system is constructed by C++ language and computer graphic algorithms is applied to this system to enhance the automatization. A new temperature boundary is designed for D2Q13-WB model and tested in heat exchange problem. Collision rule building algorithm is provided to create rule list which is satisfied microscopic properties of lattice gas and can simulate correctly at macroscopic scale.The time responses of the temperatures near the heat exchanger is simulated by D2Q13-WB lattice gas model and contrasted with the result made by D2Q9 model and traditional numerical method, proving the feasibility of the time responses of the temperatures. The time responses curve of temperature simulated by D2Q13-WB have much fewer random noise than by D2Q9 lattice gas model.