On the application of WENO schemes to modeling reacting gas flows

The 5th and 7th order WENO schemes with optimal weight coefficients without solution's smoothness indicators and with solution's smoothness indicators are investigated in the article. It is shown that the 5th order WENO scheme with optimal weight coefficients gives a more accurate result with less complexity of calculations to solve problems of multicomponent gas dynamics with chemical reactions, diffusion, viscosity and thermal conductivity.