The invention discloses a method for accelerating the iterative convergence speed of a highly nonlinear surface-to-surface
radiation problem, and the method comprises the steps: S1, building a geometric model of a to-be-analyzed structure, and carrying out the
mesh generation, and obtaining a temperature field finite
element model; s2, setting properties, grid
control parameters, boundary conditions, initial conditions and solving information of the temperature field finite
element model; s3, information of the temperature field finite
element model is obtained, and initialization is carried out; s4, establishing a
heat transfer overall matrix; S5, selecting a
radiation facet, and calculating to obtain a
radiation angle
coefficient matrix; s6, establishing a cavity radiation
energy equation; s7, obtaining a final temperature iterative calculation equation based on the cavity radiation
energy equation and the
heat transfer overall matrix, and solving the final temperature iterative calculation equation; and S8, iteratively solving until the set calculation ending time, and obtaining the temperature field. According to the method, the cavity radiation
energy equation and the
heat transfer overall matrix are processed through the semi-implicit separation Newton method, so that the final temperature field iteration equation is obtained, iteration calculation is carried out, and the convergence efficiency can be remarkably improved.