The invention discloses a short gap gas
discharge numerical
simulation method based on a time-domain
spectral element method. The method comprises the following steps of establishing a structure modelof short gap gas, and conducting
discretization to obtain the structural information of the model; using a GLL
basis function based on the
spectral element method for
discretization, conducting a Galerkin test, and obtaining an expression of a high-order scheme; for a
stiffness matrix, eliminating negative elements outside
diagonal lines to obtain an expression of a lower-order scheme; conductingsubtraction on the expressions of the high-order and low-order schemes to obtain original back-
diffusion flux and prelimit the original back-
diffusion flux; calculating correction factors, obtaininglimited back-
diffusion flux at last, adding the limited back-
diffusion flux to the expression of the lower-order scheme, conducting time
discretization in a multi-step backward difference format, using Newton iteration in each
time step for solution, obtaining the
electron density and
ion density of the gas, calculating an
electric field, and updating transport parameters. By means of the method,unconditional stability in time can be achieved, the calculation precision is high, and the
simulation effect is good.