Research And Analysis Of Computer Simulation Method Based On Belousov-zhabotinsky Reaction System

With more and more emphasis on green chemicals,biochemical processes have received a lot of attention because of their low raw material cost and less waste emission.However,biochemical processes are typical coupling systems.Its mathematical models are usually complex coupled differential equations,which cause it difficult to solve and analyze.The Belousov-Zhabotinsky(B-Z)reaction system is a complex system with multiple coupling reactions.It is a good example of studying complex coupled systems.Therefore,it is of general significance to study the dynamic characteristics of B-Z reaction system for biochemical processes.In this thesis,the method of bifurcation analysis is applied to investigate the causes of self-oscillation in the B-Z reaction system,and determines the range of parameters with which self-oscillation is generated.The simulation method proves that self-oscillation is the premise of self-organizing behavior in B-Z reaction.On this basis,the transfer equation of B-Z reaction on two-dimensional plane is derived by the theory of mass transfer in chemical transfer process,and partial differential equations are solved by finite difference method.Then,two kinds of chemical wave,i.e.spiral wave and target wave are simulated on two-dimensional plane in B-Z reaction.Its result provides a reference for the equivalence of the method simulation using the Cellular Automaton(CA).The method of CA is used to qualitatively simulate the B-Z reaction process.Compared with the direct application of the B-Z reaction mechanism model simulation,the effect of simulating the B-Z reaction by the CA is more intuitive and more representative of the mechanism in the reaction.And the simulated time and space domain is larger.In addition,the thesis discusses the difference between the two modeling methods,compares the two algorithms and their solving way.It also discusses the complementary factors of the two,and explores the characteristics of the coupled system to obtain a way to simulate those systems by CA algorithm accurately.This work can also be used for the study of biochemical processes,providing guidance for the establishment of a description method that can guide the complex coupling process of industrial practice,and further research on general complex systems.