Numerical Analysis Of High-voltage Electrostatic Field In Air-purifier

Indoor environment play an important role in people's live and work, in other words, mostly people spend eighty percents of their time indoor. In the past decades, global economy develop rapidly, and humanity created a large amount of wealth, which are more than the sum of what people have created in the two thousands early. However, air was polluted seriously, and a lot of relative diseases emerged, which are the terrible price people have to pay for the economic development. With the development of science and technology and improvement of people's living, how to make the environment, where people work and study, more healthy and better, to relax themselves completely becomes a common topic. High-voltage electric field could kill the bacteria and virus, and also could remove the floating particles in the air, which make itself a pet in air purifier field. Then analyzes of the high-voltage electrostatic field, in order to design a more effective structural parameters, is still a different problem.Common method for the analysis of High-Voltage Electrostatic field is divided into Analytical Method and Numerical Analysis Method. Analytical Method could give an accurate solution of the problem. However, for the most real problem, whose boundary condition is complex, this appears helpless. Numerical Analysis Method, including the Finite Difference Method (FDM), Finite Element method (FEM), Charge Simulation Method, Boundary Element Method (BEM), and so on, replace the solution with a set of node, is a popular methods now. This paper gives some improvement for FEM and FDM.First, Multi-grid method is applied to speed up the iterative convergence in FDM. FDM replace the derivative in control equation with difference formula, and then solve the equation with iterative method, which is simple, intuitionistic and easy to master. Commonly used iterative methods including Jacobi iteration, damping Jacobi iteration, Gauss-Seidel iteration, and successive over relaxation iteration method, etc. however, those iterative methods these methods can effectively eliminate the high frequency error, but have little effect on the low frequency error. Multi-grid method employ iterative in different mesh grid, and could effectively eliminate both the high frequency and the low frequency, which speed up the calculation, decrease consume of CPU, and also save the EMS memory.The second aimed at improving the automatic meshing in FEM. FEM based on variational principle, replace the original area with a set of element, and then transform the functional problem into a set of equation. This method has good adaptability for complex structure and complex boundary conditions. mesh generation, mesh refinement, node coding is the key technology of the finite element method, this paper give a improvement the search method in automatic meshing, each search process is limited in a region rather than the whole original area, and so we can save search time, and speed up the mesh generation process.