Collision Rules And Digital Circuit Implementation Of FHP-? Lattice Gas Automata

As an important tool in the field of computational fluid dynamics,Lattice Gas Automata(LGA)was rose in the 1980 s and gradually became mature in the past 30 years.Today,it is still glorified in many fields of scientific research.Compared to other computational fluid dynamics methods,the Lattice gas automata can calculate faster.It uses very simple lattice collision rules to simulate the complex movement of the entire flow field.Because of the same collision rules of the entire flow field,Lattice Gas Automata can perform the large-scale parallel processing.Lattice Gas Automata has some shortcomings,such as statistical noise and difficulty in achieving the simulation of high Reynolds number;etc.In recent years,the Quantum Lattice Gas Automata has risen dramatically.Compared with the classical lattice gas method,the Quantum Lattice Automata has greatly improved in data processing and computational ability.In this thesis,we discussed the evolution of the FHP-II Lattice Gas Automata in detail,and expressed it in the form of Boolean dynamic equations.The look-up table was generated using Boolean dynamic equations.In chapter 3 of this thesis,the Boolean dynamic equations of the collision rules for FHP-II were implemented in the form of digital circuits.Using the circuit diagrams made,if a system language is written according to it,the control and translation of the circuit can be realized.In chapter 4 of the thesis,the algebraic structure of the look-up table of FHP-II collision rules was preliminarily discussed,and we proved that the matrix for the transformation of state numbers before and after collision is a unitary matrix.In the end of this paper,we gave the conclusions and looks forward to the future.