The present invention discloses an improved
arc length method for efficiently solving nonlinear thermal boundary problems, and belongs to the field of high-
performance computing simulation technology. The method first needs to establish a geometric model to be analyzed, and then the geometric model to be analyzed is meshed with any
unit type, and then the boundary conditions and load conditions of the model to be analyzed are set, and finally the above conditions are input into the
algorithm solver. In the solution, the size of the second norm of the tangent increment obtained in the prediction stage of adjacent incremental steps is determined. The
arc length calculation method of the
algorithm prediction stage is selected according to the determination result. Thereby, the
algorithm solution process is accelerated under the premise of realizing reliable solution of
heat transfer nonlinear problems. The present invention combines
heat transfer theory,
finite element method, and nonlinear algorithm control strategy, improves on the theoretical basis of the existing
arc length method, and uses the excellent numerical calculation ability of computers as a carrier to solve thermal nonlinear problems, which not only improves the numerical accuracy of the calculation results, but also improves the speed of solving thermal nonlinear problems.