Abstract: A high-order accurate algorithm, which consists of WCNS-E-5 for inviscid term, fourth-order accurate scheme for viscous term and corresponding fouth-order boundary scheme, is carried out on the heat transfer distribution on body surface in a hypersonic viscous flow. The effect of grid Reynolds number on heat transfer at stagnation point and the influence of different boundary schemes on heat transfer distribution are investigated. A flow past a blunt cone with high attack angles is simulated numerically. It is shown that WCNS-E-5 is able to permit large spatial scale near the body. The physical phenomena captured by WCNS-E-5 with high-order accuracy are real, clear and high resolving in the whole flowfield. The heat transfer solutions are reliable and accurate.

Key words: high-order accurate scheme, weighted compact nonlinear scheme, Navier-Stokes equations