Application of the discontinuous Galerkin method for calculating the temperature distribution in a solid-gas system for small Knudsen numbers

摘要

The application of the discontinuous Galerkin method for calculating the temperature distribution in a solid-gas system is considered. Analysis is carried out with regard to a temperature jump at the gas-solid interface and the thermal conductivities of the solid and gas. The corresponding variant of the weak form of the Poisson equation is obtained.