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NUMERICAL EFFECTS IN THE HEAT TRANSPORT SIMULATION

A. A. Shestakov
VANT. Ser.: Mat. Mod. Fiz. Proc 2019. Вып.1. С. 44-56.

In the numerical simulation of the heat transport problems, sometimes there occur effects, which are not described by the physics of simulated processes and hamper a proper understanding of these processes. The most commonly encountered among them are the grid effects caused by discretizing the space using a difference grid. The grid effects disappear with the use of stable and converging difference schemes with smaller sizes of the discrete grid cells. However, not only grid effects may become the cause of errors in solutions. There are also some other specific features of numerical simulation, which are weakly dependent on, or independent of the difference grid in use and in most cases they do not disappear with a decreasing size of cells. During the numerical simulation both the grid and non-grid effects may occur simultaneously, or in different combinations with each other. Their analysis is important for finding the ways of eliminating them. The paper describes some non-grid numerical effects for the heat transport problems.

Keywords: radiation transport, numerical simulation.








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