Testing Some Different Implementations of Heat Convection and Radiation in the Leapfrog-Hopscotch Algorithm

Based on many previous experiments, the most efficient explicit and stable numerical method to solve heat conduction problems is leapfrog-hopscotch scheme. In our last paper, we made a successful attempt nonlinear conduction–convection–radiation equation. Now, implement convection radiation terms in several ways find optimal implementation. The algorithm versions are tested by comparing their results 1D analytical solutions. Then, perform tests compare performance when simulating transfer of two-dimensional surface cross section realistic wall. latter case contains an insulator layer thermal bridge. stability convergence properties version analytically proved as well.