Dezhi Chen

A High Precision Particle-Moving Algorithm for Particle-in-Cell Simulation of Plasma

A new particle-moving algorithm for particle-in-cell simulation of plasma is developed based on the linear multistep method. The conventional and the new algorithms are investigated by numerical experiments, which are conducted in three typical fashions of the electron motions in electromagnetic fields, namely, cyclotron in homogeneous magnetic field, drift in E × B field, and motions in inhomogeneous magnetic field. The new algorithm not only improves the accuracy, but also relaxes the time step condition for the simulation, thus increasing the computation efficiency.

A novel finite analytic element method for solving eddy current problems with moving conductors

A novel finite analytic element method (FAEM) is presented. The basic idea of the method is the incorporation of local analytic solution of the governing equation in the finite element method, A local analytical solution satisfying its nodal conditions is found in each element and is used for determining the shape functions. Then, a weighted residuals scheme is followed to yield the linear algebraic equations. The presented FAEM is applied to solve 1-D and 2-D eddy current problems with moving conductors. Because the problems analytical features have been considered, the solution in each element is approximated closely and the spurious oscillations which occur in the ordinary Galerkin solutions are avoided. High accuracy is obtained with no need of very fine meshes.

A Subregion Expansion Method for Computational Electromagnetics

A new semi-analytical method, subregion expansion method (SEM), is presented for computational electromagnetics. In this scheme, the entire field domain is divided into subregions; in each subregion, a semi-analytical expansion is constructed to approximate the solution. Then all these subregions are jointed together at the fictitious boundaries, and all the boundary conditions are satisfied to determine the coefficients of the expansions. The 2D Laplace equation was investigated, and numerical examples are given to verify the validity of the method