Discrete heat transfer model with space-time nonlocality

The study of processes occurring under locally non-equilibrium conditions is of great interest due to the intensive development of laser technologies and the emerging opportunity to carry out technological operations under extreme conditions (at ultrahigh temperatures, pressures and their gradients). This paper presents the results of the development for a discrete mathematical model of thermal conductivity that takes into account the inertia of the heat transfer process in solids. A computational algorithm using the APDL language has been developed on the basis of the finite element method. APDL (ANSYS Parametric Design Language) is a scripting language that you can use to automate common tasks or even create your own model expressed in terms of parameters (variables). Developed algorithm allows one to automatically calculate temperature fields in solids of arbitrary geometric shape taking into account the heat transfer inertia. The APDL algorithm is adapted for the ANSYS software product which makes it available to a wide range of users. Verification of the algorithm developed is performed by comparing the obtained numerical results with the exact analytical solution of the model task.